One of the diagonals of a rhombus is 15 cm long. if the rhombus has an area of 60 cm², find the length of the other diagonal.​

Answers

Answer 1

Answer:

8.5

Step-by-step explanation:

area of a rhomus = (1/2)(product of its diagonals)

let the other diagonal be a

(1/2)(15a) = 60

15a= 120

a = 8

So let's find the hypotenuse of one of the right-angled triangles formed by the intersection of its diagonals

base = 4, height = 7.5

if h is the hypotenuse,

h^2 = 4^2 + 7.5^2

h = 8.5


Related Questions

100! POINTS

You and your partner will each study 2 student scenarios to see how social media spreads Four student scenarios are described in the table below together with your partner to decide on who will study which two students

1. State which two students you are studying so your instructor knows for whom each partner is responsible 2.Provide an exponential function representing Anita's social media shares 3. Provide an exponential function representing Juan's social media shares 4.Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answer 5.Based on your resultswhich student's post travels the fastest? How is this shown in the equation form of the functions? 6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more fewer shares are preferable? Justify your answer with your calculations from previous questions

Answers

Answer:

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the initial valueb is the growth factorx is the independent variabley is the dependent variable

Anita's initial value is 41 and the number of viewers doubles each day

[tex]\implies f(x)=41(2)^x[/tex]

Juan's initial value is 4 and the number of views quadruples each day

[tex]\implies f(x)=4(4)^x[/tex]

Day 3

[tex]\textsf{Harrison}:f(3)=7(2)^3=56[/tex]

[tex]\textsf{Anita}:f(3)=41(2)^3=328[/tex]

[tex]\textsf{Juan}:f(3)=4(4)^3=256[/tex]

[tex]\textsf{Krista}:f(3)=6(3)^3=162[/tex]

Day 10

[tex]\textsf{Harrison}:f(10)=7(2)^{10}=7168[/tex]

[tex]\textsf{Anita}:f(10)=41(2)^{10}=41984[/tex]

[tex]\textsf{Juan}:f(10)=4(4)^{10}=4194304[/tex]

[tex]\textsf{Krista}:f(10)=6(3)^{10}=354294[/tex]

Juan's post travels the fastest.

This is shown by the growth factor in the equation form of the functions.

Juan's equation has the largest growth factor of 4.

What is the simplified form of the following expression? assume y not-equals 0. rootindex 3 startroot startfraction 12 x squared over 16 y endfraction endroot

Answers

The equivalent expression of the expression [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex]

Divide 12 in the expression by 4

[tex]\sqrt[3]{\frac{3x^2}{16y}}[/tex]

Divide 16 in the expression by 4

[tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex]

Apply the power rule of indices

[tex](\frac{3x^2}{4y})^\frac 13[/tex]

Hence, the equivalent expression of [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]

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What fraction of the sweaters cost $50 or less?

Answers

Answer:

8/15 is the fraction I think

The answer is that 50% of the sweaters cost $50 or less.

What is a box plot?

To determine the fraction of sweaters that cost $50 or less, we need to look at the box plot and identify the range of prices that fall within that category.

Looking at the box plot, we can see that the box extends from $40 to $60, which means that 50% of the sweaters sold were priced between $40 and $60. Additionally, we can see that the left whisker of the box plot extends down to $30, which means that some sweaters were sold for less than $40.

Therefore, to find the fraction of sweaters that cost $50 or less, we need to calculate the portion of the box plot that falls below $50.

From the box plot, we can see that the distance between $40 and $50 is half of the total distance of the box or 25%. And the distance between $30 and $40 is also 25%. Therefore, the total fraction of sweaters that cost $50 or less is 25% + 25% = 50%.

So, the answer is that 50% of the sweaters cost $50 or less.

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The spinner is equally likely to land on any of the six sections. a spinner contains 6 equal sections: 1, 2, 3, 4, 5, 6. sections 1, 3, and 5 are shaded. the spinner is pointing at number 6. what is the probability that the spinner will land on a number greater than 4 or on a shaded section? two-ninths one-half two-thirds five-sixths

Answers

The probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixt

What is probability?

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = Expected/Total

If the spinner is spinned, the total outcome is 1/6

Pr(greater than 4) = 2/6 = 1/3

Pr(shaded section) = 3/6 = 1/2

Pr(number greater than 4 or on a shaded section) = 1/3 + 1/2
Pr(number greater than 4 or on a shaded section)  = 5/6

Hence the probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixths

Learn more on probability here: https://brainly.com/question/25870256

Answer:

D. 5/6

Step-by-step explanation:

i can feel the course of the correct answer pierce through my veins, trust me... its correct.

Answer number 7 part A please. Thank you.

Answers

Answer:

6,300

Step-by-step explanation:

About 70% of the population will say yes, which is 6,300 out of 9,000

Answer:

6300

Step-by-step explanation:

70

___

100

said yes

there is 9000

change 100 to 9000

that x90

70x 90=6300

Answer question attached. No working needed.

Answers

x= - 0.9, y=2.9

Or

x= 2.9, y= -0.9

Hope this helps!

Use the drop-downs to identify the domain and range of the following relation.

{(–4, –7), (0, 6), (5, –3), (5, 2)}

What is the domain of this relation?

What is the range of this relation?

Answers

I believe the domain is (0,6) and the range is 1

Answer:

4 0 5     7 3 2 6

Step-by-step explanation:

Just did the assignment

2. The metric system is based on units of
O A. 50.
O B. 10.
O C. 5.
OD. 20.

Answers

The metric system units are based on the powers of 10.

What is the volume of the following triangular prism?

252 yd
126 yd
42 yd

Answers

Answer:

V = 126 yd3

Step-by-step explanation:

The base: [tex]\frac{(9)(4)}{2} =\frac{36}{2} =18[/tex]

The volume: [tex]v=(18)(7)=126yd^{3}[/tex]

Hope this helps

WILL GIVE BRAINLIEST

For what value of k will the relation R= {(2k+1, 3), (3k-2, -6)} not be a function?

Answers

Answer:

3

Step-by-step explanation:

2k+1 = 3k -2

k =3

every child has a 1 mom

f 7 = 3 f7= -6 this is imposible

[tex]\sf \boxed{\bold{k = 3}}[/tex]

Explanation:

If the first values of the two ordered pairs are the same, the relation is not a function.

Solve:

2k + 1 = 3k -2

2k - 3k = -2-1

-k = -3

k = 3

When k = 3, for the relation R= {(2k+1, 3), (3k-2, -6)} will not be a function.

Find the difference of 29 and 13, and then divide by 2.

Answers

Answer:

8

Step-by-step explanation:

29-13=16         16/2=8

Answer:

your answer is 8

Step-by-step explanation:

29 - 13 = 16 / 2 =8

also can you mark me as brainliest

Stephen bought a package of stickers for $0.50. His brother bought 4 times as many packages. How much did his brother spend? (3 points) a $2.00 b $2.25 c $2.50 d $3.00

Answers

a $2.00

Step-by-step explanation:

0.50 x 4 = 2

If he bought 4 times as many, then take the price times 4.

Answer:

$2.00

Step-by-step explanation:

Stephen bought 1 package for $0.50. His brother bought 4 times as many (4 * 1 packages). Which means his brother bought 4 packages.

If each package costs $0.50 then we simply multiply the price with the amount of packages he bought:

4 * $0.50. Lets get rid of the dollar sign, so it doesn't distract us.

I'm not sure if you studied about floating point numbers yet, but I assume you did.

4 * 0.50 =?

We have two numbers after the floating point, but for the sake of simplicity we can get rid of it too and just multiply 4 * 50 and then put the floating point back into the number after the first two digits (because we removed it after two digits 0.50)

Anyway 4 * 50 = 200

We add the floating point and get:

2.00

Therefore his brother spent $2.00 after we add the dollar sign back in

Find the surface area. Do not include units in your answer.

Answers

Answer:

The surface area of the triangular prism is 223.789 cm^2.

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

cross section area multiply by length.

i.e

(1/2*4*6) *12

Megan has been planting young trees in her garden. One maple tree is 66 centimeters tall and is growing 8 centimeters per month. One oak tree is 70 centimeters tall and is growing 7 centimeters per month.

Answers

Once per month there is food that is 33 centimeters long

(Please someone help me!) (NO LINKS!)

Answers

The answer is C


Gbdndkksms

Answer: A

Step-by-step explanation:

Cost for one day is 12.5 and if the number of days is X, cost for X days will be 12.5X

12.5 was from two days rent divided by 2

Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sample of students at her middle school. Can Margo use these data to present a valid inference that will convince her father? Explain.

Answers

Answer:

Yes; More students have a curfew of 9 P.M. than any other time.B

Step-by-step explanation:

The bases of a trapezoid have lengths of 10 feet and 22 feet. Find the length of the midsegment of the trapezoid.

Answers

Answer:

16 feet.

Step-by-step explanation:

Midsegment = (10+22)/2

= 32/2

= 16.

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answers

Answer: 38.2

Step-by-step explanation:

Can anyone help me with my homework

Answers

Step-by-step explanation:

for the table on the left (Q5)

y(-1) = -5

y(1) = -1

y(3) = 3

for the table on the left (Q7)

y(0) = 5

y(1) = 2

y(2) = -1

y(3) = -4

What does PEMDAS stand for?

Answers

Answer:

Parentheses Exponents Multiplication Division Addition Subtractions

You have to do these operations in order when solving oder of operations.

Answer:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.

Step-by-step explanation:

i think it would help.

Reflect triangle ABC over the line y = 2.

Translate the image by the directed line segment from (0, 0) to (3, 2).

What are the coordinates of the vertices in the final image?

Answers

The question is an illustration of transformation, and the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

How to transform the triangle?

The coordinates of the triangle are given as:

(-6,-1), (-5,2) and (-3,0)

When the triangle is reflected across the line y = 2 is, the new points are

(-6,5), (-5,2) and (-3,4)

Next, we translate the image of the triangle using the translation

(x,y) -> (x + 3, y +2)

So, we have:

(-6,5) => (-6 + 3, 5 + 2) = (-3,7)

(-5,2) => (-5 + 3, 2 + 2) = (-2,4)

(-3,4) => (-3 + 3, 4 + 2) = (0,6)

Hence, the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

Read more about transformation at:

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A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent

Answers

1 bottle contains 3 liter
12 bottles contains (12*3) = 36 liter

1 case contains 12 bottle
5 cases contains (12*5) = 60 bottle

What is the answer
((((5+5+6+6+8+8+10+10)*2)*4)*6)=

Answers

Answer:

58*48 is the answer for ((((5+5+6+6+8+8+10+10)*2)*4)*6

Step-by-step explanation:

Answer:

((((5+5+6+6+8+8+10+10)*2)*4)*6)=((((10+12+16+20)*2)*4)*6)=((((22+36)*2)*4)*6)=((((58)*2)*4)*6)=((116*4)*6)=(464)*6)=2784

Step-by-step explanation:

Two corners were removed from a square to create the polygon shown. 10 30 22 30 Determine the area of the polygon. units²​

Answers

Answer:

b

Step-by-step explanation:

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation.

3x + 2y = −21
x − 3y = 4

A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21

Answers

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racquet have cost?

Answers

Answer:

The cost of the racquet is $135

Step-by-step explanation:

Let

x-----> the cost of the racquet

we know that

The racquet represent the 100%

so

using proportion

x/100%= $9.45/7%

x=100%*($9.45)/7

x=$135

My math teacher help me with it.

Students are comparing their helghts. Jose is 416, feet tall, Lee is 414, feet tall, Judi is 4112, feet tall, and Sammy is 423. feet tall. Which student is the tallest?
f Judi
g Jose
h Sammy
j Lee

Answers

I think you meant 4 1/4, 4 1/2, 4 1/6, and 4 2/3.
So the answer to your question is Sammy because 414 is 4.25 and 412 is 4.5 and 416 is 4.1666667 and 423 is 4.6666667.
So who do you think is the tallest?
- 4.25
- 4.5
- 4.166667
- 4.666667

please help me for 15 points
if you don't know please don't try to comment wrong answer
please send with explaination​

Answers

Answer:

x=0 , x=-3

Step-by-step explanation:

Apply all exponent rules:

[tex]3^{x+3}[/tex] = [tex]3^{x}[/tex]×[tex]3^{3}[/tex]

[tex]\frac{1}{3^{x} }[/tex] = [tex](3^{x} )^{-1}[/tex]

Rewrite equation with [tex]3^{x}= u[/tex]

[tex]u[/tex] × [tex]3^{3}[/tex] + [tex]u^{-1}[/tex] - 28 = 0

Solve for u to give :

u = 1, u = 1/27

Substitute back u = [tex]3^{x}[/tex], solve for x :

[tex]3^{x}[/tex] = 1 , x= 0

[tex]3^{x}= \frac{1}{27}[/tex] , x= -3  
x=0 , x=-3

Substituting x back into original equation verifies our answers

Jose decided to keep track of his sleep using a fitness tracker. He was surprised to learn that there was 12 minutes of awake time during the eight hours when he was supposed to be asleep at night. What percentage of the eight hours was Jose awake during the night? _____ %

Answers

Answer:

2.5% believe.

Step-by-step explanation:

I may be wrong but heres how I solved it.

Take the 8 hours and convert it to minutes.

8 hours - 480 minutes total

12 minutes out of 480 minutes is 2.5%

State the possible Number of positive and negative zeros for each function.
f(x) = 9x6 -3x5+ 33x4 -11x³ + 18x²- 6x

Answers

Algebraic rule

If a polynomial has n th degree then it has n no of zeros

As

here the polynomial has degree 6

Total zeros 6

6 can be all negative or positive

Answer:

Both positive (or) negative

Step-by-step explanation:

The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.

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