What is the length of the unknown leg in the right triangle?

A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards

Answers

Answer 1

Answer:

8

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer 2

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd


Related Questions

Find the distance between k and l

Answers

shift 5 to the right
You have to shift 5 to the right

help me please I need help ​

Answers

Answer:

I dont know

Step-by-step explanation:

yes

If you spin a spinner with 3 equal parts, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

Answers

the answer is c. 3 possible outcomes
It’s obviously C/3 because there’s only 3 equal parts

The accompanying stem-and-leaf plot represents Kiko's test scores this year. What is the median score for this set of data?

Answers

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Is this a scalene triangle if not what?

Answers

Answer:

Yes

Step-by-step explanation:

the triangle is scalene because all of the side lengths have different measurements

_______________________________

Yes, it is a scalene triangle.

We can say it is a scalene triangle because none of the sides are equal in the given figure.

Hope it helps..

Good luck on your assignment

____________________________

Mrs. Linda has 17.16 cups of brownie mix. If each
brownie uses 0.33 cups of mix, how many
brownies can Mrs. Linda make?

Answers

Answer:

52 brownies

Step-by-step explanation:

If you divide 17.16 by 0.33, you get 52

PLEASE HELP!!! 100 POINTS!!!!!!!

Potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes. Round your answer to the nearest dollar.

He paid $ for the potatoes.

Answers

Answer:

Um

Step-by-step explanation:

does anyone know the answer to this?

Answers

Answer: 1/3

Step-by-step explanation:

The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12

Thats a 4/12 chance which simplifies to 1/3

Answer:

1/3

Step-by-step explanation:

There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3

Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}

Answers

Hey mate!!

Answer:

n(A)=12

Solution,

A={3,6,9,12,15,18,21,24,27,30,33,36}

Just count the elements,

There are 12 elements in the set.

So the cardinal number of the set is 12.

Hope it helps...

Answer:

[tex]12[/tex]

Step-by-step explanation:

A = {3,6,9,12,15,18,21,24,27,30,33,36}

To find the cardinal number,

just count the numbers

So, according to that,

there are 12 numbers in this set.

So, it's clear for us that, the cardinal number of this set is 12

n (A)= 12

hope this helps

brainliest appreciated

good luck! have a nice day!

2) Michael makes a purchase of $3,500 for a new fridge using a credit card that has an APR of 15%. He makes monthly payments of $150. What is the total amount of interest based on the APR?

Answers

Answer:

I do believe the answer is $675

Step-by-step explanation: I just took 15% of 3,500 and added it to the monthly 150

Which is the graph of the linear equation 3x – 4y = –12?

Answers

Answer:

You can graph it using desmos, a free graphing calculator available on your computer, or you can rearrange the equation into a y intercept form, y=mx+b

Step-by-step explanation:

-4y=-12-3x

y=3+(3/4)x

y=(3/4)x+3

Answer:

its graph D

Step-by-step explanation:

got a 100 in the test

rewrite the expression with a rational exponent as a radical expression.

Answers

Third option is the correct answer.

Answer:

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]

Q= 3t^2 - 5th Make h the subject of the formula ​

Answers

Answer:

3t² - Q / 5t

Step-by-step explanation:

Q = 3t² - 5th        collect like terms (separate 5th from the rest of the equation)

5th = 3t² - Q                                                                      (divide both sides by 5t)

h = 3t² - Q / 5t

If this helped please mark me as brainliest

A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.

Answers

Answer:

3 stacks of 4 reams= 12 reams

Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.

First option is 5+5= 2 stacks of 5/5 reams.

2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other  which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box

Second option is 2+3+3+2 = 4 stacks of  2/3/3/2 reams

Third option is  3+4+3= 3 stacks of 3/4/3 reams

Please help me this is due in less than 45 minutes!

Answers

Answer:

1.) It's 20th century painting

2.) 0.5 probability

Step-by-step explanation:

If the universal = 60

We need to first get the value of X. That is,

x (x - 2) + x + 2x + 8 + 10 = 60

First open the bracket

x^2 - 2x + x + 2x + 8 + 10 = 60

x^2 + x + 18 = 60

x^2 + x - 42 = 0

Factorise the above equation

x^2 + 7x - 6x - 42 = 0

x (x + 7) -6(x + 7) = 0

x = 6 or - 7

Since x can't be negative, so we will ignore -7

The value for T = 6(6 - 2) = 6×4 = 24

The value for B = 2(6) + 8 = 12 + 8 = 20

If a painting is chosen from random,

If it's from 20th century, the probability will be 34/60 = 0.567

If it's from British painting, the probability will be 30/60 = 0.5

We can therefore conclude that it's from 20th century painting since it has higher value of probability.

The the probability of choosing a British painting will be 30/60 = 0.5

A group of 9 friends went bowling. Each person pays the same amount to bowl several games and a $3 fee to rent shoes. The total cost for the friends to bowl and rent shoes is $162. How much does it cost each friend to bowl ( not counting the shoe rental fee)?

Answers

Answer:

Each friend payed $15

Step-by-step explanation:

( 9 x 3 - 162 ) divide that answer by 9 to get the amount of how much each friend payed.

(25 pts) Between which consecutive years was the decrease in the price of gold per ounce the greatest?

1975-76
1973-74
1972-73
1974-75

Answers

Answer:

1975-76

Step-by-step explanation:

On this chart, the price of gold per ounce rises almost continuously, until it suddenly drops from the years 1975 to 76 by a margin of about 40 dollars. Therefore, this these are the years with the most decrease. Hope this helps!

1975-76 is the correct answer

We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.

Answers

Answer:

It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).

Step-by-step explanation:

what does DE equal to ?

Answers

The answer to your question should be EF

Which of the following best represents 43?

A number between ____ and ____.

A. 7 and 8

B. 8 and 9

C. 5 and 6

D. 6 and 7

Answers

Answer:

D

Step-by-step explanation:

If you mean the sqrt of 43, then

sqrt 36 is 6

sqrt 49 is 7,

since sqrt of 43 is between sqrt 36 and sqrt 49,

sqrt of 43 is between 6 and 7

The answer will be 8 and 9

Please help me with my Algebra. :)

Answers

Answer:

[tex]\mathrm{D}[/tex]

Step-by-step explanation:

[tex]6x+5y=-2[/tex]

[tex]6(-2)+5(2)=-2[/tex]

[tex]-12+10=-2[/tex]

[tex]-2=-2[/tex]

[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]

Answer:

A

Step-by-step explanation:

What is the slope of the line that goes through the points (1,5) and (4,1)

Answers

Answer:

[tex] - \frac{4}{3} [/tex]

Step-by-step explanation:

gradient formula:

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]

Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

What is slope?

" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."

Formula used

Two coordinates on line

[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Point on the line

[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]

Substitute the value to get the slope of the line,

Slope = [tex]\frac{1-5}{4-1 }[/tex]

          = [tex]\frac{-4}{3}[/tex]

Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].

Learn more about slope here

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Can someone please tell me what the slope-intercept equation for this graph is!!!! Braniest and Extra points will be given!!!

Answers

Answer:

see below

Step-by-step explanation:

The slope-intercept form of a line is y = mx + b where m and b are the slope and y-intercept respectively. From the graph we see that b = 11 (because it is halfway between 10 and 12) and m = 3 (see 2 marked points on the graph). Therefore our answer is y = 3x + 11.

Which expression represents the polynomial −2x3−4x2+2x4+3x+4 rewritten in standard form?

Answers

Answer:

10 x^4 - 8x^5

Explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c

Then you would simplify

−2 x−5(x^2x^2)−2x4(x^2x^3)

Simplify each term

= 10 x^4 - 8x^5

What reason allows the following statement to be true?
Given AB + CD = JK and CD = 5, then AB + 5 = JK​

Answers

Answer: Subtituting CD =5 in AB + CD = JK

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• AB + CD = JK (equation 1 )

• CD = 5 (equation 2)

So, we simply have to combine the equations.

Substituting CD =5 in equation 1:

AB + CD = JK

AB+(5) =JK

Feel free to ask for more if needed or if you did not understand something.  

10=|m+2| solve the equation​

Answers

Answer:

8 = m        -12 =m

Step-by-step explanation:

10=|m+2|

There are two solutions to the absolute value equation, one positive and one negative

10 = m+2     -10 = m+2

Subtract 2 from each side

10-2 = m+2-2          -10-2 = m+2-2

8 = m                            -12 =m

Answer:

8, -12

Step-by-step explanation:

use a online calculator

PLEASE ANSWER ASAP 10 points WILL MARK THE BRAINIEST!

Answers

What’s the question asking

the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft

Answers

Answer:

C. 1839 ft.

Step-by-step explanation:

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

sin 22 =  689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft

We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.

If the vertical distance from the bottom to the top of the mountain is 689 feet,

The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.

What is the ratio of sin?

[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]

Therefore we get,

sin 22 = 689 / h

h = 690 / sin 22

h = 1839.26 ft

The length of the Gondola ride is equal to 1839.26 ft.

To learn more about the angle of elevation visit:

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Mya says when 10 is added to a number, the hundreds digit stays the same. Is Mya's statement always true?

Answers

Answer:

no

Step-by-step explanation:

When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.

Answer:

the answer is no

Step-by-step explanation:

500+100=600

James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10

Answers

Answer:

A 5'10

Step-by-step explanation:

You have to put the heights in order from least to greatest

5'7, 5'9, 5'10, 5'10, 6'0, 6'0

The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two

5'10 + 5'10 = 11'8

11'8 ÷ 2 = 5'10

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