What is the length of the hypotenuse?

What Is The Length Of The Hypotenuse?

Answers

Answer 1

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

h²=12²+9²h²=144+81h=√225h=15feet.

hope it helps.

stay safe healthy and happy.
Answer 2

[tex]\huge\bold{To\:find:}[/tex]

The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

What Is The Length Of The Hypotenuse?

Related Questions

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

What is that number in scientific notation form??

Answers

Answer:

D. 3.7 × 10⁶

Step-by-step explanation:

3.7 × 10⁶

3700000

What is the range of the function graphed below?

Answers

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Why did the robber take a bath

Answers

Answer:

To make a "clean getaway"

Step-by-step explanation:

haha, nice one :D

Help plz math question. EXPLAIN HOW YOU GOT THE ANSWER. 30 PTS btw thx if u help

Answers

Answer:

256

Step-by-step explanation:

4^4^4 = 4^(4^4) = 4^256

so written in base 4, there will be 256 zeroes after a 1.

This translates to approximately 154 digits in decimal.

Just like 2^2^2 =  2^4

there will be four zeroes after a 1.

2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).

seth put $500 in his savings account, which earns a earns a simple interest rate of 4%

A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years

Someone help me out :)

Answers

Answer:  sorry i dont know this

Step-by-step explanation:

a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe​

Answers

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

What is the length of the hypotenuse?

Answers

Answer:

65 cm

Step-by-step explanation:

16^2 x 63^2 = 65^2

Find the HCF of 12 and 16 ​

Answers

Answer:

4  Hope that helped

The answer is four please tell me if this helped

PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT

Answers

Answer:

the second one

Step-by-step explanation:

What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С

Answers

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Evaluate: 4x(5+3)=8-2
A 2
B 8
C 12
D 15

Answers

Answer:

The answer to the problem is 15.

74,308 Problem: Round the number above to the nearest ten.

Answers

Answer:

74,310

Hope this helped! ^^

Answer:

[tex] = 74,310[/tex]

step by step explanation:

HELPP PLZZ
ASAP TYYY

Answers

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

Solve the triangle for all missing sides and angles

Answers

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

someone help please I'm having a hard time understanding​

Answers

Answer:

the angle shown is a straight angle value of which is equal to 180°

3x + 30. 6 = 180

3x = 180 - 30. 6

3x = 149.4

x = 49.8

Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true. ​

Answers

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

please help me!

a) 280in2
b) 300in2
c) 150in2
d) 100in2

Answers

Answer:

C) 150

Step-by-step explanation:

I need help on this please it would really help me alot

Answers

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!

Answers

Answer:

Step-by-step explanation:

its about 263.08!

Answer: about 263.08 sq meters (choice C)

====================================================

Explanation:

We'll use this formula

S = (x/360)*A

where,

S = area of pie slice, aka sectorx = central angle in degreesA = area of full circle

We'll plug in S = 85.5 and x = 117 to find solve for A.

S = (x/360)*A

85.5 = (117/360)*A

85.5*(360/117) = A

A = 85.5*(360/117)

A = 263.076923076923 which is approximate

A = 263.08 square meters (choice C)

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

Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.

Find the value of x and y.

Answers

Answer:

x=34[tex]\sqrt{2}[/tex]

y=34[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Mike owes his brother $9.55. He borrows $10.75 more from his brother. Which of the following best represents Mike's debt to his brother?

A B C D +$20.20 -$20.30 -$1.20 +$18.80​

Answers

Answer:

C - $20.30

Step-by-step explanation:

-9.55 + (-10.75) = - 20.3

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Ali earns $80 in 10 hours. How long would it take him to earn $200?

Answers

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

What is the value of X?

Answers

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

4x+2=-13 solve for x

Answers

Answer:

Solution given

4x+2=-13

subtract each term by 2

4x+2-2=-13-2

divide both side by 4

4x/4=-15/4

we get

x=-15/4

is a required answer.

Let's solve:

[tex]4x+2=−13[/tex]

Step 1: Subtract 2 from both sides.

[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]

Step 2: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]

Answer:

[tex] \frac{ - 15}{4} [/tex]

(5. solve for x )
2/5 + x = 1

Answers

X=3/5 for exact form of decimal it is x=0.6

What is the arc length of PQ?

Answers

Answer:

43.9823

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]

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