- The circles are identical. Find the circumference of each circle. Round your
answer to the nearest tenth.
4x
6x - 6

- The Circles Are Identical. Find The Circumference Of Each Circle. Round Youranswer To The Nearest Tenth.4x6x

Answers

Answer 1

Answer:

Circumference = 75.4

Step-by-step explanation:

Since the circles are identical, that means that the radii must be equal.

4x=3x+3

x=3

That means that radius = 12

The formula for the circumference = 2pi × radius

2pi × 12 = 24pi ≈ 75.4

Answer 2

Answer:

75.4 (nearest tenth)

Step-by-step explanation:

The diameter of a circle is the distance from one side of the circle to the other through the center. The diameter is the widest part of the circle.

The radius of a circle is the distance from the center to the circumference.  The radius is half the diameter of a circle.

We have been given the radius of the circle on the left:  r = 4x.

Therefore, as the diameter is twice the radius, the diameter of the circle on the left is:  d = 2(4x) = 8x

We have been given the diameter of the circle on the right:  d = 6x + 6

Equate the two diameters and solve for x:

⇒ 8x = 6x + 6

⇒ 8x - 6x = 6x + 6 - 6x

⇒ 2x = 6

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

Substitute the found value of x into one of the diameter expressions to find the diameter of both circles:

⇒ d = 8x

⇒ d = 8(3)

⇒ d = 24

Circumference of a circle

C = πd

(where d is the diameter)

Substitute the found diameter into the circumference formula:

⇒ C = πd

⇒ C = 24π

⇒ C = 75.39822...

⇒ C = 75.4 (nearest tenth)

Therefore, the circumference of each circle is 75.4 units (nearest tenth).


Related Questions

What is the value of the expression -2/7 - 4/7

Answers

Answer: -6/7

Step-by-step explanation: combine like terms.

Same signs; add, different signs; subtract.

Write the terminology for the power of a factored expression of a polynomial
function.

Answers

Answer:

a power function is a function with a single term that is the prudoct of a real number

Question in photo. Too lazy to solve lol (I might mark u as brainliest if u answer)​

Answers

Answer:

The first, third, and fourth.

Step-by-step explanation:

Those answers involve scaling the measurement up, which requires a positive power of 10. For scaling down, you'll need a negative power of 10, e.g., 2x10^-2=0.02.

Why is the base of the triangle the same as the circumference
of the circle?

Answers

Answer: Because They are literally the same!

Step-by-step explanation:

So listen, The base of a cone is

1. Flat

2. Circle

3. no sides

And a circle has these characteristics too!

So here is your answer Brainliest and thanks  + 5 STAR ⭐

What’s the answer to question B???????

Answers

Answer:

71.

Step-by-step explanation:

The "machine" is subtracting 6 from whatever number she puts in. Ergo, 77 - 6 = 71.

use the space provided to create a list of important talent, skills and competencies a person will need to fill the position on (business functions on ) purchasing​

Answers

There is space to identify the important talents, abilities, and competencies a person will need because every company aims to attain financial stability by streamlining its operations using resources.

A stable economy is what?

Every firm strives to achieve financial stability by streamlining its operations with resources, thus there is room available to identify the critical talents, abilities, and competencies a person will require.

What is financial stability?"A state in which the financial system is not unstable" is the definition of financial stability. It may also refer to a state of stability among the three elements of the financial system, namely the infrastructure, markets, and institutions.The phrase "stability of financial institutions" refers to the degree to which each financial institution is sound enough to effectively perform the function of financial intermediation.

Due to the advancement of financial deregulation, many nations around the world have experienced the benefits of rapid financial industry growth since the 1980s.

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Ana compra en la tienda 15/20 gramos de jamon y 15/20 gramos de queso y quiere saber a cuanto equivale en decimales

Answers

15/20 gramos equivalen a 0 . 75 en forma decimal. Si se supone que las cantidades decimales deben sumarse, entonces 1 . 5

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Espero que esto te ayude.

Que tengas un buen día y que Dios te bendiga. :)

Use the distance formula to find the area of the square:

Answers

Answer:

10

Step-by-step explanation:

Distance formula:

d = √(x₂-x₁)²+(y₂-y₁)²

A (1,2) D (4,3)

d = √(4-1)²+(3-2)² = 3.16227766

All 4 sides of a square are equal lengths.

The equation for the area of a square:

A = a²

A = (3.16227766)² = 10

5. The distance between two lighthouses is 137 miles. There are approximately 8 kilometers
in 5 miles. Which measurement is closest to the number of kilometers between these
two lighthouses?

Answers

Measurement is closest to the number of kilometers between these

two lighthouses is 219.2 kilometers.

Assume the distance between two lighthouses is x kilometers in 137 miles.

It knows there are approximately 8 kilometer in 5 miles.

Since the number of kilometers per mile is same

So    x:137=8:5

x/137=8/5

5x=1096

5x/5=1096/5

x=219.2

1 kilometer is equal to 0.621371 miles (often shortened to . 62). 1 mile is equal to 1.609344 kilometers. Thus, to convert kilometers to miles, simply multiply the number of kilometers by 0.62137.

The number of kilometers between these two lighthouses is 219.2.

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Which of the following sentences is true? Use the number line to help you decide.
6.0 - 7.0
O 6.4 is greater than 6.6.
O 6.3 is less than 6.0.
O 6.4 is less than 6.2.
O 6.8 is greater than 6.6.

Answers

Answer: this may not be correct but I think that the answer is 6.8 being greater than 6.6 since it is more closer to 7.0.

Step-by-step explanation:

5x+y
when x=6 and y=-2

Answers

Answer:

28

Step-by-step explanation:

5(6) + (-2) = 30 + (-2) = 30-2 = 28

Answer:

28

Step-by-step explanation:

x=5  y=2

5x + y

5(6) + (-2)

30 + (-2)

30 - 2

28

Find the area of the triangle

Answers

Answer:

Step-by-step explanation: lengthxwidth

Arianna and her friends are preparing for an epic snowball fight. They make 80
snowballs before Arianna's dad calls them in for lunch. After lunch, they make more
snowballs. In all, Arianna and her friends make 161 snowballs.
Which equation can you use to find the number of snowballs s Arianna and her
friends make after lunch?

Answers

Answer: 161-80=81

(or 161-x=y?)

Step-by-step explanation:

subtract the the amount of snowballs made before Adrianna's dad called them in for lunch from the total number of snowballs (161-80)

161-80=81

*the puzzle* n 48 abcd w 117 efgh a) professor x traveled 1500 miles to see jean grey. he read one book every 450 miles he traveled. how many books had he finished by the time he arrived? b) storm had $74 and withdrew some more money from her bank account. she bought a pair of slacks at $34, two shirts at $16 each and a pair of shoes at $24. after shopping, storm had $15 left. how much money did she withdraw from the bank? c) there are 12 pacific northwest geocachers in wolverine's living room. six of them are wearing socks, four of them are wearing shoes, while four people are wearing both socks and shoes. how many geocachers have nothing on their feet for their upcoming geo-excursion together? d) cyclops will buy a new pair of shoes in 1200 seconds. how many minutes must he wait before he can buy them? (second digit in the answer!) e) quicksilver collected 700 nickels in a jar. he went to the bank to cash them in. how much money did the bank give him? f) for breakfast, mystique bought a bagel for $1.55 and a glass of orange juice for $2.25. at lunch, mystique spent $6.25 on a sandwich and $0.55 on a carton of milk. how much more money did she spend on lunch than on breakfast? g) mirage had three pizzas. each pizza had eight slices. if mirage at 75% of the pizza slices, how many were left? h) iceman has a highlighter obsession. in his desk drawer, there are 19 yellow highlighters. there are 15 more blue highlighters than yellow, and there are 37 green highlighters total. how many more green highlighters than blue does he have?

Answers

He finished the number of books by the time he arrived = 3.3 books, b) she withdrew $15 from her bank account. c) 6 people have nothing on their feet.d) He must wait before he can buy the pair of shoes = 20 minutes. e) After dividing the bank gives him 700 nickels = $35. f) She spent more money on lunch than breakfast  = $3. g) After eating the mirage slices left = 6 slices. h) He has more green highlighter than blue  = 3

a) professor finished  3 books by the time he arrived.

   Professor x traveled to see jean grey = 1500 miles

   He read one book he traveled = 450 miles

    So,

   He finished books by the time he arrived by dividing both the numbers = 1500/450

      He finished total books by the time he arrived = 3.3 books

     

b) Storm had money = $74

She bought a pair of slacks = $34

She bought two shirts = $16

She bought a pair of shoes = $24

After shopping she left with = $15

Storm expenses on the items = $34 + $16 + $24

                                              = $74

So, after shopping she left with $15 so it is clear that she withdrew $15 from her bank account.

c) Pacific northwest geocachers in wolverine’s living room = 12

Wearing shoes = 4

Wearing socks = 6

Wearing both socks and shoes = 4

As we know 4people wearing both socks and shoes

So, 2 people are wearing only sock

And no people wearing only shoes = 4-4=0

So, in total 4+2+0= 6

Now, 12 people are there

So, 12-6=6

So, 6 people have nothing on their feet.

d) Cyclops waited 20 minutes

Cyclops will buy a new pair of shoes = 1200 seconds

Here, 60 minutes = 3600 seconds

Now, divide 1200 seconds by a minute (1 minute = 60 sec)

 He must wait before he can buy the pair of shoes = 1200/60

  He must wait before he can buy the pair of shoes = 20 minutes

e) Quicksilver collected nickels in a jar  = 700

First, we have to calculate  how many cents are there in 700 nickels by multiplying 700 * 5, and then dividing that result by 100 cents

=700 nickels x 5 cents

= 3,500 cents   ( 100 cents = $1)

= 3,500 cents / 100 cents

The bank gives him 700 nickels = $35

f) For breakfast, Mystique bought a bagel = $1.55

A glass of orange juice = $2.25

At lunch,

On sandwich, she spent = $6.25

On a carton of milk, she spent = $0.55

Total spent on breakfast = $1.55+$2.25

                                       = $3.80

Total spent on lunch = $6.25+$0.55

                                = $6.80

She spent more money on lunch than breakfast =  $6.80-$3.80

She spent more money on lunch than breakfast  = $3

g) Mirage had 3 pizzas

Each pizza had = 8 slices

So, After multiplying total number of slice we have of the pizza = 3*8

                                                                          = 24 slices

He ate 75% of the pizza slices                         = 75/100 * 24

                                                                          = ¾ * 24

After multiplying,  he ate pizza slice                =   3 * 6

                                                = 18 slices

So, after eating by the mirage slices left = 24-18

                                                               = 6 slices

h) He has 3 more green highlighters than blue highlighters.

 In the iceman desk drawer, the number of  yellow highlighters are = 19

 As given, there are 15 more blue highlighters than yellow in his desk drawer

 Then,

 the number of blue highlighters  = 19+15

                                                           = 34

There are total numbers of green highlighters = 37

He has more green highlighters than blue highlighters = 37-34

                                                                                      = 3

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Write the polynomial -10xy5 + 2x³y² - 6x²y² in standard form.​

Answers

Does this count? But here

can you guys solve it please i will give bonus if so

Answers

4, 6, 8

x + (x + 2) + (x + 4) = 18
3x + 6 = 18
3x = 12
x = 4

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

Let 'x' be the first side of the triangle. Then the second and third sides of the triangle will be (x + 2) and (2 + x + 2). Then the equation is given as,

x + (x + 2) + (x + 2 + 2) = 18

3x + 6 = 18

3x = 12

x = 4

Then the dimension of the triangle will be given as,

x = 4

x + 2 = 4 + 2 = 6

x + 2 + 2 = 4 + 6 = 10

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

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Simplify this expression.
9y + 3 - 4y + x +9

Answers

Answer: 5y + x + 12

Step-by-step explanation:

9y + 3 - 4y + x + 9

Group together 9y and -4y

5y + 3 + x +9

Group together 3 + 9

5y + 12 + x

Reorder the expression.

5y + x + 12

please help with this question, thank you!!​

Answers

Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

Note that:

[tex]a^2-2ab+b^2=(a-b)^2 = 4ab \\ \\ a^2 + 2ab+b^2 = (a+b)^2 = 8ab \\ \\ \implies \frac{a+b}{a-b}=\frac{\sqrt{8ab}}{-\sqrt{4ab}}=-\sqrt{2}[/tex]

Answer:

[tex]\sf \dfrac{a+b}{a-b}= -\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sf a^2 + b^2 = 6ab \qquad where\:\:0 < a < b[/tex]

Basic formula:

[tex]\sf (a + b)^2 = a^2 +b^2 +2ab[/tex]

[tex]\sf (a - b)^2 = a^2 + b^2 -2ab[/tex]

solve for a + b

[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]

[tex]\sf \rightarrow (a+b)^2-2ab = 6ab[/tex]

[tex]\sf \rightarrow (a+b)^2 = 6ab+2ab[/tex]

[tex]\sf \rightarrow (a+b)^2 = 8ab[/tex]

[tex]\sf \rightarrow a+b = \pm \sqrt{8ab}[/tex]

solve for a - b

[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]

[tex]\sf \rightarrow (a-b)^2 + 2ab = 6ab[/tex]

[tex]\sf \rightarrow (a-b)^2 = 6ab-2ab[/tex]

[tex]\sf \rightarrow (a-b)^2 = 4ab[/tex]

[tex]\sf \rightarrow a-b = \pm \sqrt{4ab}[/tex]

Now solve for (a + b)/(a - b)

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \dfrac{\pm\sqrt{8ab} }{\pm\sqrt{4ab} }[/tex]

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt\dfrac{8ab }{4ab}[/tex]

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt{2}[/tex]

As, the value of b is greater than the value of a and both the values a  and b are greater than 0. It turns the value of expression negative as the denominator will be always evaluated to negative integer and the numerator value always > 0. So, the answer will be negative, -√2.

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= - \sqrt{2}[/tex]

What is the solution set of the equation
3X=-6/1-X
for x # 1?

Answers

The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)

3x = -6/(1-x)

3x(1-x) = -6

3x – 3x2 = -6

Taking 3 as common from both sides

x –x2 = -2

x2 – x +2 =0

Using factorisation method we will get two factors

Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.

( x – 2)(x+1)=0

So, x = 2 , -1

Now, when x ≠ 1

The solution of the equation will vary from {-2,1) .

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PUNTOS Write the equation of the line parallel to y = -1/3x + 4 and passing through the point (-6, -9). Be sure to write your answer in slope-intercept form(y=mx+b)

Answers

The slope intercept of the line is y = -1/3x -11

Slope-intercept is one of the special forms of line equation

The slope intercept of a line can be found by solving the slope-intercept equation of a line which is parallel to that line.

Slope-intercept equation is

y = mx + b

where m is the slope and b is the intercept.

The slope-intercept equation of the parallel line is

y = -1/3x + 4

The slope will be the same for both lines as they were parallel to each other.

Thus m = -1/3

The point in which the line passes is given as (-6,-9)

So with these data, We can find the intercept of the line

y = mx + b

where m = -1/3 and (x,y) is (-6,-9),Thus

-9 = -1/3(-6) +b

-9 = 6/3 +b

-9 = 2 + b

b = -9-2

b = -11

Thus the intercept of the line passing through the point (-6,-9) is -11

Thus, the slope-intercept equation of the line we need to find is

y = -1/3x -11

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The graph of f(x) is increasing on
(-∞, 0) and decreasing on (0, +∞).
Which statement must be true?
A f(x) has a maximum at x = 0.
B f(x) has a minimum at x = 0.
The domain of f(x) is (0, +∞).
D The range of f(x) is (0, +∞).

Answers

Answer: c

Step-by-step explanation:

A television cost $1,275. It is marked down 35%. What is the new cost of the television? Please answer this!!!

Answers

Answer:

$446.25

Step-by-step explanation:

1275 x 35% = 446.25

So, the television would be $446.25

------------------------------------

Hope this helps!

Have a great day and God bless! :)

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

Step-by-step explanation:

"rise" is 10 units

"run" is 6 units

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

m = [tex]\frac{5}{3}[/tex]

The african bush elephant weights about 4.4 tons and 7.7 tons what are if least and greatest sight rounded to the nearest ton

Answers

The least ton is 4 ton and the greatest ton is 8 ton.

Given an approximation for the weight of African bush elephant.

If we take x as the weight of an African Bush elephant, then

4.4 < x < 7.7.

We are asked to find the least and greatest weights rounded to the nearest ton.

The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.

Likewise, the greatest weight is 7.7 tons.

But the greatest weight rounded to the nearest ton = 8 tons

We rounded 4.4 to 4 because the decimal digit 4 is less than 5.

Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.

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find the LCM of 34,40,168​

Answers

Hope this helped
ask questions if u have any queries :)

Answer:

14,280...............enjoy

Under her cell phone plan, Hawa pays a flat cost of $51.50 per month and $3 per gigabyte. She wants to keep her bill at $64.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Hawa can use while staying within her budget.

Answers

If Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes

Given,

The flat cost = $51.50 per month

The cost per gigabyte = $3

She wants to keep her bill = $64.10

Consider the number of gigabytes used as x

Then the equation is

51.50+3x=64.10

3x=12.6

x=4.2

Hence, if Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes.

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HELP.................................! !

Answers

Answer:

0.063

Step-by-step explanation:

Answer:

Your answer would be 0.063.

Step-by-step explanation:

0.504 divided by 8 = 0.063

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Hi again! :)

God bless! :)

A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 16 + 6.6n and 14 + 7.1n, where n is the number of
box? smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger
The larger box of cereal has as
(Type a whole number.)
boxes

Answers

Answer:

The answer should be 10.5 from what i have seen in the past

Step-by-step explanation:

Question 2(Multiple Choice Worth 2 points)
(01.03)
Solve for x, given the equation √x+9 -4 = 1.?

Answers

Answer:

x = 16

Step-by-step explanation:

dark city had a population of 350,000 in 1990, and has increased exponentially since then, to 475,000 in 2008. project the population in 2015.

Answers

The population of the dark city in 2015 will be 449,245.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The dark city had a population of 350,000 in 1990 and has increased exponentially since then, to 475,000 in 2008. Then the equation will be

350,000 = a(b)      ...1

475,000 = a(b)¹⁸      ...2

From equations 1 and 2, then we have

475,000 / 350,000 = b¹⁷

b = 1.018

Then the value of the variable a will be

350,000 = 1.018a

a = 343768.87

Then the equation will be

y = 343,768.87 (1.018)ˣ

The population in 2015 will be

y = 343,768.87 (1.018)¹⁵

y = 343,768.87 x 1.3068

y = 449,245

The population of the dark city in 2015 will be 449,245.

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Other Questions
A teacher adds a teaspoon of salt to his tea by mistake. He does not stir. Some students are discussing what will happen to the saltiness of the tea. A cyclist rides at a constant speed of 15 miles per hour. At this speed about how long would it take the cyclist to ride from garden city to dodge city, Kansas An expression is shown.4 (12)Select all equivalent expressions. -7-6 -12.4 -12-(-4) 8-(-6) 3 - 16 in lines 185-189 beowulf instructs his audience there is no need then to lament for long or lay out my body and gives further instructions what does he want to be done with his belongings if he dies and why. McCarthyism was...a. Named after Senator Joseph McCarthyb. Came from the fear of hidden Communists in Americac. Led to the interrogation of directors, authors, and other media professionals if a patient demonstrates a disinterest in his or her health care situation, the defense mechanism is known as: what is hydrogen energy level revenues should not be recognized in the accounting records when earned, but rather when cash is received. what type of decision is the following: which employee should we let go home since business is slow? You are installing 250 feet of PVC conduit. Each 100-foot section takes 1/2 can of PVC cement, and each 50-ft section takes 1/4 can. How much cement do you need? Your answer should be in the form of a mixed number, with any remaining fraction in its lowest terms. In Earnest's yard, the grass grew 2 inches. The next week, Earnest cut 2 inches off of the grass. The total change was 0 inches. Which of the following situations also has a total change of 0?A.It rained 2 inches on Tuesday. Then, it rained 2 inches on Wednesday.B.It snowed 4 inches last week. Then, 8 inches of snow melted during this week.C.I put 5 pounds of birdseed in the feeder. Then, birds ate 5 pounds of birdseed.D.A farmer sold 3 bushels of apples last week. Then, she sold 6 bushels of apples this week.E.3 feet of growth was cut from a tree branch last year. Then, the tree branch grew 3 feet this year.F.My family painted a 300 square foot barn on Saturday. Then on Sunday, we painted a 300 square foot garage. yX-9-639x - 1x3 struggling to figure out problem D on this, please help! What is 254 nm in meters? Submit answer in scientific notation using the format 0.00x10^0 (e.g. 0.000123 = 1.23x10^-4). Omit units and spaces.What is the frequency of this irradiation? (Answer from question 1) Submit answer in scientific notation using the format 0.00 x 10^0 (e.g. 0.000123 = 1.23 x 10^-4). Omit units and spaces. according to the bureau of labor statistics, indicated there will be a shortage of engineers by 2026 by 1.2 million Which of the following Statements are true?Statement 1: A right triangle can be an equilateral triangle.Statement 2: An equilateral triangle can be a right triangle. Standing on the roof of a (42.0+A) m tall building, you throw a ball straight up with an initial speed of (14.5+B) m/s. If the ball misses the building on the way down, how long will it take from you threw the ball until it lands on the ground below? Give your answer in seconds and round the answer to three significant figures. a copper cable carries a current of 300 a. if the power loss is 2 w per meter, find the radius of the cable. (the resistivity of copper is 1.7x10-8 m.) ms. murray knows that most of her fifth grade students live in apartment buildings. she discusses with her students the difficulty of growing plants in apartment settings and asks them to solve the problem, giving them two months to design, develop, and test their solutions. students are asked to keep logs of their attempts. what instructional strategy is ms. murray using? Use the drop down menus to match the structure to its definition. tonsils Two oval shaped tissues at the back of the throat that prevent infection by trapping pathogens that enter the nose and the mouth. spleen An organ near the stomach that filters blood, stores red blood cells, destroys old red blood cells, and contains lymphocytes. adenoids Spongy tissues at the back of the nasal cavity that prevent infection by trapping pathogens that enter through the nose.