How to do the circumference of a semicircle with a radius of 7 1/2.

Answers

Answer 1

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

Diameter = 2r Circumference = 2πr

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\sf radius\:{(r)=7\frac12=7.5[/tex]

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Answer 2
Radius=r=7.5units

Circumference

πr+2rr(π+2)7.5(3.14+2)7.5(5.14)38.6units²

Related Questions

What kind of expression is this?

Answers

Answer:

the third one hope it helps:)

What is the length of MN ?
M
3X
X + 8
634
N
O A. 12
OB. 8
OC. 4
O D. 16

Answers

Answer:

A. 12

Step-by-step explanation:

Using the Law of Sines,

sinA / a = sinB / b

Here,

A = 63°a = x + 8B = 63°b = 3x

Solving :

sin63°/x + 8 = sin63°/3xx + 8 = 3x2x = 8x = 4

Finding MN :

MN = x + 8MN = 4 + 8MN = 12

Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement

Answers

Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem:

She wants 23 successes, hence q = 23.Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.

Then:

[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]

She should expect to roll the number cube 46 times.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

answer is 46.

Step-by-step explanation:

Which angle is coterminal with a 120° angle?


A. An angle measuring 300°

B. An angle measuring-120°

C. An angle measuring 470°

D. An angle measuring 480°

Answers

An angle measuring 480° is coterminal with a 120° angle.

Coterminal angles

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

For w=1 and α=120°

        β = 120 ± 360 * 1

        β = 120 ± 360

       Then, β can be 120+360=480° or 120-360= -240°

For w=2 and α=120°

        β = 120 ± 360 * 2

        β = 120 ± 720

       Then, β can be 120+720=840° or 120-720= -600°

       Therefore, the answer to this question is option D.

Read more about the coterminal angles here:

https://brainly.com/question/19573972

Which of the following is an odd function? f(x) = 3x2 x f(x) = 4x3 7 f(x) = 5x2 9 f(x) = 6x3 2x

Answers

If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.

What is an odd function?

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Then the functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

Then replace x with the negative x, then we have

f(x) = 3(-x)² + (-x) = 3x² - x =

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

More about the odd function link is given below.

https://brainly.com/question/14264818

Answer: D

Step-by-step explanation:

PLEASE I NEED THIS NOW!! Please

Which of the following is a third root of the given complex number?
JE
27| COS
2700
+ i sin
5
5
Check all that apply.
O
A. 27| cos
1 172
15
+ i sin
1117
15
872
8z
B. 3COS
15
isin
15
117
O C. 3 cos
+ i sin
1 177
15
15
().-()
Hisin
3
O D. 3
+ i sin
JC
15
15

Answers

Suppose that r (cos(θ) + i sin(θ)) is a third root of 27 (cos(π/5) + i sin(π/5)), i.e.

[r (cos(θ) + i sin(θ))]³ = 27 (cos(π/5) + i sin(π/5))

Expand the left side using de Moivre's theorem:

r³ (cos(3θ) + i sin(3θ)) = 27 (cos(π/5) + i sin(π/5))

Matching up real and imaginary parts, we have

r³ cos(3θ) = 27 cos(π/5)

r³ sin(3θ) = 27 sin(π/5)

Right away we see that r³ = 27 ⇒ r = 3, which eliminates A.

We also have

(r³ sin(3θ)) / (r³ cos(3θ)) = (27 sin(π/5)) / (27 cos(π/5))

tan(3θ) = tan(π/5)

3θ = tan⁻¹(tan(π/5))

3θ = π/5 + nπ

(where n is an integer)

θ = π/15 + nπ/3

Now,

• n = 0   ⇒   θ = π/15   ⇒   D is a third root

• n = 1   ⇒   θ = π/15 + π/3 = 2π/5

• n = 2   ⇒   θ = π/15 + 2π/3 = 11π/15   ⇒   C is a third root

Please Help me Asap

Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:

90


100


10


95

Answers

Answer:

100

Step-by-step explanation:

Given Average After writing a last test=90

let the last test score be x

Now given

[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]

[tex]80 + 85 + 100 + 85 + x = 450[/tex]

[tex]x + 350 = 450[/tex]

[tex]x = 100[/tex]

I hope it helped you

Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1

Answers

Answer:

Yes

Step-by-step explanation:

Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.

Michelle gets her hair done every 8 weeks and Zuri gets hers done every 5 weeks. If they both got their hair done today, in how many weeks would they both get their hair done again on the same day?

Answers

The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.

When would they both have their hair done?

In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.

A multiple of a number is the product of an integer and that number.

Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Common multiple = 40

Number of weeks = 40 / 7 = 5.71 = 6 weeks

To learn more about multiples, please check: https://brainly.com/question/26030133

5x + (-x) - 1 = 11 - 2x

Answers

Answer:

x = 2

Step-by-step explanation:

5x + (- x) - 1 = 11 - 2x , that is

5x - x - 1 = 11 - 2x

4x - 1 = 11 - 2x ( add 2x to both sides )

6x - 1 = 11 ( add 1 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

The value of x is 2

Step-by-step explanation:

=> 5x + (-x) - 1 = 11 - 2x

=> 5x -x -1 = 11 - 2x

=> 4x - 1 = 11 - 2x

=> 4x+2x = 11+1

=> 6x = 12

=> x = 12/6

=> x = 2

What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10

Answers

The product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.

What is the product of two algebraic expressions?

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].

To know more about multiplication click the link given below.

https://brainly.com/question/14059007

Answer:

A. 6a^3 + 22a^2 + 14a - 10

Step-by-step explanation:

Ed22

38. On a recent shopping trip, you see a sale advertising 3 pairs of socks and 2 pairs of shoes for $60. Write an equation using x to represent the cost of socks and to represent the cost of shots.
2x + 3y = 60
3x + 2y =60
20x + 30 =60
30x 20y=60

Answers

It would be 3x + 2y = 60

Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?

Answers

Answer:

4.5% annually

Step-by-step explanation:

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

122.50 = 100(1+r*5)

Divide both sides by 100

1.225 = 1 + r*5

Subtract 1 from both sides

0.225 = r*5

Divide both sides by 5

0.045 = r

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

Find the sum of (–4 + i) and (10 – 5i).

Answers

When we work with complex numbers:

 ⇒ we add all the like terms

     ⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]

     ⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]

Let's find the sum now:

  [tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]

Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i

Hope that helps!

Answer:

C on edge

Step-by-step explanation:

anybody know how I can get better at algebra 1, because I'm struggling​

Answers

Answer:

My suggestions could be to;

Study

Ask for help to the teacher

Ask for help to your parents

Ask for help to your older siblings

Ask your parents to get a tutor for you

Pray to our lord and savior Jesus Christ to help you succeed algebra 1

Step-by-step explanation:

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP

Answers

Answer:

9)  [tex]\\\frac{14}{16}[/tex]

10) [tex]28\frac{5}{8}[/tex]

Step-by-step explanation:

9)

[tex]1\frac{3}{4}[/tex] you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = [tex]\frac{7}{4}[/tex]

[tex]\frac{7}{4} * \frac{2}{4} = \frac{14}{16}[/tex]

10) 7*4 = 28

so [tex]28\frac{5}{8}[/tex]

The cost proposed by the taxi company that charges $3 for the taxi drop plus $1.50 for each mile driven can be expressed as c=
The cost proposed by the taxi company that charges $2 for the taxi drop plus $1.75 for each mile driven can be expressed as c=

Answers

Answer:

3 + (1.50 x m) = c

m stands for amount of miles driven, c stands for total cost.

Using a normal deck of cards, Jessica draws one card, and then without replacing the first card, draws a second card.
Find the Probability:

P(Jack then Queen)

Answers

Answer:

not answered this question

Round 4 3/8 to the nearest whole number
A.3
B.4
C.5
D.6

Answers

Answer:

B

Step-by-step explanation:

It 4 3/8 is 4.375 which would round down

HURRY 70 POINTS!! solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

(3, -1)

Step-by-step explanation:

Given

4x + 5y = 7y = 3x - 10

Subbing the value of y

4x + 5(3x - 10) = 74x + 15x - 50 = 719x = 57x = 3y = 3(3) - 10y = 9 - 10y = -1Solution is (3, -1)

Answer:

x = 3y = -1

Solution: (3, -1)

Step-by-step explanation:

Given equations:

[tex]4x + 5y = 7[/tex][tex]y = 3x - 10[/tex]

Step-1: Reorganize the equations with "y" on the L.H.S

[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]

[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]

Step-2: Make the x-variables the same on both equations

[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]

[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]

Step-3: Add the equations

[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]

[tex]\rightarrow 19y = -19[/tex]

Step-4: Divide both sides by 19

[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]

[tex]\rightarrow y = -1[/tex]

Step-5: Substitute the value of y into any equation

[tex]\rightarrow y = 3x - 10[/tex]

[tex]\rightarrow -1 = 3x - 10[/tex]

Step-6: Simplify the equation

[tex]\rightarrow -1 + 10 = 3x[/tex]

[tex]\rightarrow9= 3x[/tex]

Step-7: Divide 3 both sides

[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]

[tex]\rightarrow x = 3[/tex]

(Optional) Step-8: Convert the solution(s) into (x, y) form

[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]

Thus, the value of x and y is 3 and -1. The solution is (3, -1).

Uche pumps gasoline at a rate of 16 / min. What is Uche’s pumping rate in / s?

Answers

Answer:

266.66mL/s

Step-by-step explanation:

You have:

[tex] \frac{16}{1} \frac{liters}{minute} [/tex]

You can use the conversion factors to convert liters to milliliters, and minutes to seconds:

1L = 1000mL

1 min = 60 sec

Therefore:

[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]

Liters cancel and minutes cancel. The units of mL per second is all that remains:

[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]

What is the Cube root of 125x^12?

5x2
5x4
25x2
25x4

Answers

Answer:5x^4

Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers

How many milliliters are in 5.25 liters?

Answers

5250
I hope that I helped ;D

Answer: 5250 milliliters

Step-by-step explanation:

i hope this will be helpful

Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The angle formed at Rachael's position measures 90°. The distance from Lance to Rachael is 45 feet, and the angle formed at Lance's position measures 55°. Lance is trying to determine the other measures created by their positions. Give each measurement rounded to the nearest thousandth of afoot. The angle formed at Jamie's position measures degrees.

Answers

Answer:

35°

64.267 ft

78.455 ft

Step-by-step explanation:

The given situation can be modeled as a right triangle (see attached).

The interior angles of a triangle sum to 180°

⇒ angle at Jamie's position = 180° - 90° - 55° = 35°

To find the other measures (distances), we can use trig ratios.

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse

To find the distance from Rachael to Jamie:

[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]

[tex]\implies \sf x=45\tan(55^{\circ})[/tex]

[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]

To find the distance from Lance to Jamie:

[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]

[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]

[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]

What type of triangle can u form with 4.5cm,6cm, and 8.5cm

Answers

scalene triangle

hope it helps...

Answer:

down below - hope this helped :)

Step-by-step explanation:

you can make a scalene traingle with these mesurements

since none of the sides are equal :)

The sandwich shop sold 6 ham sandwiches. They sold twice as many turkey sandwiches as ham sandwiches. They sold 4 fewer tuna sandwiches than turkey. How many sandwiches did they sell?

Answers

ham - 6
turkey - 12
tuna - 8
they sold 26 sandwiches
hope this helps :)

Answer:

Step-by-step explanation:

he cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 52 sandwiches in all

Which of the following ordered pairs are a solution for the equation y=2x−5 (2, 0)(-1, -7)(-9, -2)(1, 3)

Answers

Answer:

(- 1, - 7 )

Step-by-step explanation:

substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution

(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution

(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation

(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution

(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution

Please answer ASAP. Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.

What is the sum of these three numbers?

Answers

Answer:

16, 104, 1000

Step-by-step explanation:

8*2

8*13

8*125

Answer:

1,120

Step-by-step explanation:

We start off the multiples of 8 with 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104

The smallest positive 2 digit multiple is 16

The smallest 3 digit multiple is 104

We know 8 x 100 = 800, so we are still in 3 digits

Now we try 8 X 110 = 880

Now let's try 8 x 120 = 960

Now, 8 x 125 = 1,000 which is the smallest 4 digit number we can get

16 + 104 + 1000 = 1,120

Im willing to give 5 star rating on YOUR account and a thank you aswell.

Answers

Answer: 1 in = 3.6 ft

Step-by-step explanation:

The small car is a model of the large car. The small car is 5 inches long while the large car is 18 feet long.

We currently have a ratio of: [tex]\frac{18 ft}{5 in}[/tex]

We need to get either the 18 or the 5 to one single unit.

18 ft : 5 in

Divide both sides by 5 to isolate 1 inch.

[tex]\frac{18}{5}[/tex] ft : [tex]\frac{5}{5}[/tex] in

Simplify.

3.6 ft : 1 in

We found that the ratio of the scale model is 1 inch of the model is equal to 3.6 ft of the real car.

Therefore, 3.6 ft = 1 in, which is equivalent to 1 in = 3.6ft

1. What is the sine ratio of ∠C?
A. 5/13
B. 5/12
C. 12/13
D. 13/12

2. What is the cos ratio for ∠C?
A. 8/10
B. 10/6
C. 10/6
D. 6/10

Answers

Answer:

1. Sine ratio of angle ∠C = 12/13

2. cos ratio for ∠C = 6/10

Step-by-step explanation:

1. sin = perpendicular /hypotuse

=> 12/13

2. cos = base / hypotuse

=> 6/10

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