In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypotenuse? A) v12 Units B) v14 units C) v84 units D) v116 units

Answers

Answer 1

Answer:

Step-by-step explanation:

Hypotenuse^2=4^2+10^2=16+100

Hypotenuse^2=116

Hypotenuse=square root of 116

units

Answer 2

The length of the hypotenuse is √116.

Option D is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Hypotenuse = H

Applying the Pythagorean theorem.

H² = 4² + 10²

H² = 16 + 100

H² = 116

H = √116

Thus,

The length of the hypotenuse is √116.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2


Related Questions

you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?

Answers

Answer:

12960

Step-by-step explanation:

12,000 × .08 = 960

12,000 + 960 = 12,960

You multiply 12,000 by 0.8 and you get 960
Then you do 12000 plus 960 and then you get your answer

How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000

Answers

Answer: 593775

Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775

Which 2 numbers have a least common multiple of 36?


Answers

Answer:

9 and 12,

Step-by-step explanation:

Answer:

nine and twelve (A)

Step-by-step explanation:

The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.

The roof of a house is the shape of an isosceles right triangle as shown in the diagram below.

A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form another right angle. The length of the altitude is h. The length of one of the sides is 10.

What is the height of the roof, h?

5 ft
5 StartRoot 2 EndRoot ft
6 StartRoot 3 EndRoot ft
StartFraction 5 StartRoot 2 EndRoot Over 2 EndFraction ft

Answers

Answer:

5 StartRoot 2 EndRoot ft its B

Step-by-step explanation:

The height of the roof is 5 StartRoot 2 EndRoot ft

Isosceles right triangle

Since the triangle is isosceles, hence the base angles will be 45 degrees

Using the SOH CAH TOA identity;

Cos 45 = adj/hyp

Given

Adj = hHyp = 10

Substitute

Cos 45 = h/10

h = 10cos45

h = 10 * 1/√2

h = 5√2

Hence the height of the roof is 5 StartRoot 2 EndRoot ft

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection​

Answers

Answer:

The answer is 96

Step-by-step explanation:

4 oz = 0.25 lb so 0.25*24 = 96

Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13

Answers

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

The answer is x=7. 135=15(x+2). Then you’ll get 135=15x+30. You subtract 30 from each side leaving 105=15x. To get x by itself, you then divide 15 on both sides, making the answer x=7.


A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
bench?

Answers

Answer:

You could subtract 910 from 60 which would give you 850 and that would be your answer.

Step-by-step explanation:

Answer: $850

Step-by-step explanation: take 910 - 60

I will give you all five stars ⭐⭐⭐⭐⭐

Answers

Answer:

omg really;O

Step-by-step explanation:

Another angle math problem. I just don’t get it ‍♀️ Help please.

Answers

I think 22 degrees not sure sorry

Answer:

68°

Step-by-step explanation:

Complementary = 90 - 22

If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?

A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7

Answers

Answer:

A) Predicted value: 13.1   Residual: 0.9

Step-by-step explanation:

By definition:

residual = observed - predicted

The linear model is:

f(x) = 1.3x + 9.2

where f(x) is the height and x is the age of the tree.

Replacing with x = 3:

f(x) = 1.3(3) + 9.2 = 13.1 ft

which is the predicted value. The observed value is 14 ft, then:

residual = 14 - 13.1 = 0.9 ft

What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?

Answers

Answer: up, left, down, right

Step-by-step explanation:

because

Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?

Answers

Answer:

200

Step-by-step explanation:

.8x = 160

How to solve this equation and check it. a - 2.5 = 4.5?

Answers

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

     2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

The data below shows the scores of some students on a test:

32, 29, 21, 20, 26, 23, 28

Which box plot represents the data?

Answers

Answer:

Its the second one

Step-by-step explanation:

The 2nd box from the top is the correct answer.

PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME

Answers

Answer:

Step-by-step explanation:

volume = height * are of the trapezoidal =  9 * (7+11)*4.5 / 2 = 364.5 m3

Answer:

364.5 m³

Step-by-step explanation:

Volume = base area × height

Base area: ½(7+11)×4.5

9×4.5

40.5 m²

Volume: 40.5 × 9

364.5 m³

a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?

Answers

Answer:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Step-by-step explanation:

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees

Using SohCahToa, to calculate the height

Tan 54 = height/2000

Height = 2000 tan54 = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = root ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet

Using pythagorean theorem again

Tan 24 = 2752.8/distance

Distance = 2752.8/tan24

Distance = 6182.9 feet

The height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰

To calculate the height

Tan 54⁰ = height/2000

Height = 2000 X tan54⁰ = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = √ ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet

Using Pythagorean theorem again

Tan 24⁰ = 2752.8/distance

Distance = 2752.8/tan24⁰

Distance = 6182.9 feet

Thus, the height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Learn more about Angle of Elevation from:

https://brainly.com/question/16716174

#SPJ5

need answer as soon as possible

Answers

Answer:

I think it would be 65 degrees

Step-by-step explanation:

If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.

Find the area of the shape shown below.

Answers

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

What are the solutions of 3x2 - x + 7 = 0?

Answers

Answer:

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184

Step-by-step explanation:

3x2-x+7=0  

Two solutions were found :

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i

c2-3c-10c2+5c-14c2-c-2c2-15​

Answers

Answer:

-13c4 - c3 - 15c2 - 12

 ——————————————————————

           c2        

Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2

Answers

Answer:

30 mm 2

Step-by-step explanation:

The answer is 40 mm 2

SOLVED
its 160

The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.

Year | Cellular subscriptions / 100 people

1993 | 4 12 25 33 57 72 90 101 101 108

1995 | 12

1997 | 25

1999 | 33

2001 | 57

2003 | 72

2005 | 90

2007 | 101

2009 | 101

2011 | 108

The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851

What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?

Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160

Answers

Answer:

160

Step-by-step explanation:

x represents the years since 1990, so at 2030, x =  2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:

y = -0.107(40)^2 + 9.008(40) - 28.851 = 160

which is the predicted number of cellular subscriptions per 100 people in Australia in 2030

What is the length of AR if the radius of the circle is 6 cm?

Answers

Step-by-step explanation:

[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]

A spinner with the numbers 1 through 4 is spun as well as a coin is tossed. Display all possible outcomes as an organized list.

Answers

Answer:

I DONT KNOW

Step-by-step explanation:

Figure it out

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504

subtract. 4x2-5x+1 - (2x2+9x-6)​

Answers

Answer:

4x^2 -5x + 1 - 2x^2 - 9x + 6

2x^2 - 14x + 7

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

42

Step-by-step explanation:

12+(5(12))/3

42

Answer:

42

Step-by-step explanation:

[tex]A = \frac{a+b}{2} h[/tex]

[tex]A = \frac{1+6}{2} 12[/tex]

[tex]A = \frac{7}{2}12[/tex]

[tex]A=7*6[/tex]

[tex]A = 42[/tex]

A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?

Answers

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.​

Answers

Answer:

Lori weight in ounces is 120

Step-by-step explanation:

(7 x 16)+ (1/2 x 16) = 120

PLEASE HELP!!! will give brainliest

Answers

-0.25 is ur answer :)
Other Questions
If a figure is translated 5 units down and 3 units right, how do you represent it algebraically Explain the three steps when using distributive property to write an equivalent expression. Explain what the similarities and difference between y=2cosx and y=2cosx-3. Order the steps to solve the equationlog(x2 - 15) = log(2x) form 1 to 5.x - 2x - 15=0Potential solutions are -3 and 5IIIIIx - 15 = 2xx - 5 = 0 or x + 3 = 0(x - 5)(x + 3) = 0 How many pops of kernel come in a bag of popcorn? Please choose one of the following answers below 70 120200100,000 PLEASE HELLPPPwhat is : -4(3-5)+10-3(7+4)+30 Freeman, Inc., reported net income of $40,000 for 20A. The income tax return excluded a revenue item of $3,000 (reported on the income statement) because under the tax laws the $3,000 would not be reported for tax purposes until 20B. Assuming a 30% income tax rate, this situation would cause a 20A deferred tax amount of A) $3,000 (debit). B) $3,000 (credit). C) $ 900 (debit). D) $ 900 (credit). Choose the correct symbol.74 21> I PointWhich of the following shows the polynomial below written in descending order?4x^3 + 3x^7 - 9x + x^12 How are Baron de Montesquieu's ideas reflected in American government?OA. The Constitution can be amended to reflect changing times.OB. The rule of law applies both to those in power and to ordinarycitizensOC. The people retain the right to abolish a government that becomescorrupt.OD. The powers of the federal government are divided among threebranches The Big Mystery of My Future HistoryMarie Devers1 When I think about my destiny, that cloudy cool mirage,The options and the chances overlap in a collage.3 I sometimes spend an afternoon in dreams of come what may,A changeable amusement, better than any matinee.5 Ambitious as I am, there is so much that I foresee,Im writing seven million drafts of my biography.7 Youth is like a blindfold to the life Ive yet to meet,I cant make out the future with my life so incomplete.9 Who will be the obstacles, opposing my success?And will they win, or will I be the most victorious?11 I hope that I am valiant at all my hopeful chances,And that I handle, gracefully, my unique circumstances.13 I tell myself when thinking of this future publication,That whims I cant predict are arranging their formation.15 Trophies sit un-etched in a factory someplace,Waiting for my name to illustrate their empty space.17 No matter how much algebra I use to see whats next,The equations still have missing parts, defined as only X.19 A mosaic in development, my lifes still so unsure,Yet bound to be exciting as any novel from the store.21 Do you ever stop and tell yourself your living narrative?The fabric that youre weaving that will be the life you live.23 I dare you now to play this game. Pick up your mental pen,And fearlessly create the book your life is waiting in.Read the passage on the left to answer the following questions:2)Why does the author compare her Youth to a blindfold?A)The author is trying to express how afraid she is of her future and its decisions.B)The author is saying that she cannot see past her youth into her future life choices.C)The author is lamenting how foolish, ridiculous and impulsive youthful decisions can be.D)The author is saying that when you're young, all adults try to blind you from your future. Select ALL equations that have a solution of 6.Ax + 6 = 9 3B4x + 15 = 29Cx + 9 = 5 3D2(x + 5) = 18 Solve the inequality for X.-3x - 3 20B)x > 229.x < 20D)x < 22 February 23, 2008U.S. President George Bush ended his five-nation tour of Africa today, pledging billions of dollars for health, education, and development projects around the continent. The president's tour ended in Liberia where he participated in a number events with Liberian President Ellen Johnson Sirleaf.This news release shows President Bush fulfilling his role as the country's..A)party leaderB)chief diplomatC)chief executiveD)chief agenda setter According to "Introduction to the Harlem Renaissance and the Civil Rights Movement," the first wave of the Great Migration promptedthe growth of Black Nationalist movement.Americas involvement in World War II.the development of the Harlem Renaissance.Americas involvement in World War I. If you have a cube with a side length of , how many cubes can fit into your rectangular prism? Explain. Which of the following is true about the bird population? Please!!! Critical news literacy requires applying the four D's of journalism: doubt, discern, demand and ... Help its simple but I don't know the answer!!!If you have a -Apple store and itunes gift card-can you use it for in app/game purchases? Find the value of the variable. If the answer is not a whole number, round to the nearest tenth.The image is of a circle with two secant segments which intersect outside the circle. Inside and outside length of first one are marked as x and 5 respectively. Inside and outside length of second one are marked as 10 and 4 respectively.A.9B.8C.6.2D.22.5