If one leg of a right triangle is 20 inches long and the other leg is 21 inches.
Determine the length of the hypotenuse

Answers

Answer 1

Answer:

29 inches

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = 20² + 21² ( h is the hypotenuse )

   = 400 + 441 = 841 ( take the square root of both sides )

h = [tex]\sqrt{841}[/tex] = 29


Related Questions

10 POINTS FOR WHOEVER GETS IT RIGHT!!

Make up 3 examples of expressions.

Make up 3 examples of equations.

Answers

The definition of an example of expression is a frequently Answer:

Step-by-step explanation:The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile. A facial aspect or a look that conveys a special feeling used word or phrase or it is a way to convey your thoughts, feelings or emotions.

equations...There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form

Answers these are 5..

5 Examples

Noun Phrase; Friday became a cool, wet afternoon.

Verb Phrase; Mary might have been waiting outside for you..

Gerund Phrase; Eating ice cream on a hot day can be a good way to cool off.

Infinitive Phrase; She helped to build the roof.

Prepositional Phrase; In the kitchen, you will find my mom.

A triangle has two sides of length 3 and 15. What is the smallest possible whole-number length for the third side?

Answers

I think we’re talking about the 15, the smallest number for 15 would be 3. Because 3 x 5 = 15

84x + 12y = 9,612
1126x + 21y = 13,643
{126
I
X=
Y=

Answers

Answer:

Hello you are a b**ch

Step-by-step explanation:

I just want some points thanks.

Which is an equation of the line with a slope of -1 and a y-intercept of -4?
A) y = -x - 4
B) y = x - 5
C) y = -4x - 1
D) y = x +4 IT FL​

Answers

Answer:

b

Step-by-step explanation:

A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.

Answers

Answer:

so it 15

Step-by-step explanation:

Whats a good nickname for my friend David?
Don't say "Dave" , Dav, or any other like couple names/NO plz

Give me a nickname for just friends

Answers

Answer:

My causins name is David but we also call him davy

plz help itz due tommorow plz

question in pic

Answers

Answer:

The answer is -2

Step-by-step explanation:

-6 means you go on the left and then you subtract -2 which means go backward 2 Soooo you got the right answer.

Which decimal is smaller?
0.33166667
0.3325
0.24958333
0.2775

Answers

Answer: 0.24958333
:)

If OB= 2x+1 and
BR = 3x-10 then OR=

Answers

OB + BR = OR (because the line would go O, B, R and OR encompasses the whole thing with B in the middle.
So 2x + 1 (OB) + 3x -10 (BR) = OR
2x + 1 + 3x -10 = OR
(Simplify)
5x - 9 = OR

How many solutions does the following equation have?
4(5 - 2v) =4 - 8(v-2)
2)
(A) 1 solution
(B) No solutions
(C) Infinite Solutions

Answers

ANSWER

C. Infinite Solutions

Explanation- graph/plug in the two equations into a graphing calculator ( desmos is a good app )

A family pays $21.99 each month for its long distance phone service. This is 80% of the original price of the phone service. What is the original price of the phone service? Round to the nearest cent if necessary.

Answers

Answer:

The original price of the phone service is $27.49.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the original price that would represent 100% given that $21.99 represents 80% of that price:

21.99 → 80%

   x    ← 100%

x=(21.99*100)/80

x=27.49

According to this, the answer is that the original price of the phone service is $27.49.

Part A: The x-intercepts of the graph are (-2, 0) and (2.5, 0). 2x² - x - 10 = 0 2x² - 5x + 4x - 10 = 0 x(2x - 5) + 2(2x - 5) = 0 (x + 2)(2x - 5) = 0 x = -2, 5/2 or 2.5 Part B: The vertex is going to be the minimum of the function. The coordinates are (0.25, -10.125). Vertex = (h,k) h = midpoint of the x-intercepts (because of symmetry) h = (-2 + 5/2) = 1/4 k = f(1/4) k = 2(1/4)² - 1/4 - 10 = -81/8 Vertex: (0.25, -10.125). y-intercept: when x = 0 2(0)² - 0 - 10 = -10 Part C: To graph f(x), I would draw a line connecting the x-intercepts, vertex and the y-intercept using the points (-2,0), (0,-10), (0.25, -10.125) and (2.5,0). These points are the answers from part A and B and that is why I can use them to draw the graph.

Answers

Answer:

um thats an awnser.....?

Step-by-step explanation:

PLZZ HELPP IM FAILLING THIS CLASS

Answers

Answer:

Hope this helps!!! :)

Step-by-step explanation:

#1: if there is buy 1 get 1 free, then buy 6 get 3 free. so 2.8 times 3 = $8.4

#2: 4 for $3. break it up to 1 for $0.75. now 0.75 times 6 = $4.5

#3: the second one. $4.5 < $8.4

#4: 45 times 12 = $54

GEOMETRY HW HELP! What is CD?

Answers

Answer:

C. 13

Step-by-step explanation:

4x+1 = 6x-5

    -1         -1

4x= 6x-6

-6x   -6x

-2x=-6

divide by -2

x=3

4(3)+1

12+1

13

Answer:

13

Step-by-step explanation:

6x-5=4x+1 (subtract 4x from both sides and then add 5 to both sides)

2x=6 (divide by 2)

x=3

Substitute 3 for x

6(3)-5 =18-5=13 or 4(3)+1=12+1=13

What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??

Answers

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

If a = 3, what is the value of 2a^2

Answers

Answer:

18

Step-by-step explanation:

2(3)^2

2(9)

18

Answer:

The answer is 18.

Step-by-step explanation:

2a²

2(3)²

2(9)

18

The population of rabbits on an island is growing exponentially. In the year 1994, the population of rabbits was 9600, and by 2000 the population had grown to 18400. Predict the population of rabbits in the year 2009, to the nearest whole number.

Answers

Answer:

49243

Step-by-step explanation:

Given that the population of rabbits on an island is growing exponentially.

Let the population, [tex]P=P_0e^{bt}[/tex]

where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.

In 1994, t=0, the population of rabbit, P=9600, so

[tex]9600=P_0e^{b\times 0}[/tex]

So, [tex]P_0=9600[/tex]

and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400

[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]

[tex]\ln(23/12}=6b \\\\[/tex]

[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]

b=0.109

On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is

[tex]P=9600 \times e^{0.109\times t}[/tex]

In 2009, t= 2009-1994=15 years,

So, the population of the rabbit in 2009

[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]

Hence, the population of the rabbit in 2009 is 49243.

Use the distributive property to remove the parentheses.
1. 2(6 - u)
2. -8(-5u - 3x + 1)

Simplify!
1. 2(w - 3) - 4w
2. -4(y + 3) + 3y

Answers

Answer:

1. 12 - u

2. 45u + 24x - 8

1. -2w - 6

2. -y -12

Follow the steps to find the value of x 1/5(x)5/1=6/3(5/1)
multiplication property of equality is used btw

Answers

Answer: x=10

This is the answer I got.

If segment RT bisects ∡QRS, m∡QRT = 5x – 9 and m∡SRT = 2x + 33, find m∡SR

Answers

Answer:

61 degrees

Step-by-step explanation:

m∡QRT=m∡SRT

5x – 9=2x + 33

3x=42

x=14

∡SRT=2x+33

∡SRT=2(14)+33

∡SRT=28+33

∡SRT = 61

pls answer it pls pls pls pls pls pls pls pls pls pls

Answers

Answer: Trey is correct

Step-by-step explanation: Because 3 x 4 = 12 and 4 x 3 also = 12 so Trey is correct.

HELP!!!
Mike’s truck engine holds 1 1/4gallons of oil. If there are 3 quarts of oil in the engine now, how many more quarts of oil does Mike need to add to fill the engine to capacity?
A.7 Quarts
B. 13 Quarts
C. 2 Quarts
D. 8 Quarts

Answers

Answer:

C: 2 Quarts

Step-by-step explanation:

Since 1 gallon is 4 quarts, 1 1/4 gallons is 5 quarts. (Just multiply by 4)

Now just subtract, 5-3=2

which of the following equations represents the graph?
A. y = 3/4x - 3

B. y = 3/4x + 4

C. y = 4/3x - 3

D. y = 4/3x + 4

Answers

Answer is d. y=4/3+4

Answer:

D) 4/3 x + 4

Step-by-step explanation:

The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).

The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept

Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.

y2 - y1/x2 -x1

0 - 4/-3 - 0

-4/-3 = 4/3

Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.

The answer is 4/3x + 4.

please help me so i dont fail

Answers

I think it would the last one G
It is the second one

helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee

Answers

Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

Answer? To this question please help

Answers

Answer:

B~ 81

Step-by-step explanation:

HELPPP!!!!! what is the value of x ‍♀️

Answers

Answer-

B) 40

Step By Step Intrustions-

First Step-

Gather your important numbers; 60, 3.75, & 2.5

Second Step [ Divide ]-

Divide your numbers for the same side;

60 ÷ 3.75 = 16

Final Step [ Multiply ]-

16 × 2.5 = 40

40 is your final answer of the enlarged side. Hope this helps!

- Aslina

It’s 40. 60/3.75 and then take that times 2.5

Solve the equation. Check your solution. - 6y + 5 = 29y - 2​

Answers

Answer:

y = 0.2

Step-by-step explanation:

Simplifying

-6y + 5 = 29y + -2

Reorder the terms:

5 + -6y = 29y + -2

Reorder the terms:

5 + -6y = -2 + 29y

Solving

5 + -6y = -2 + 29y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29y' to each side of the equation.

5 + -6y + -29y = -2 + 29y + -29y

Combine like terms: -6y + -29y = -35y

5 + -35y = -2 + 29y + -29y

Combine like terms: 29y + -29y = 0

5 + -35y = -2 + 0

5 + -35y = -2

Add '-5' to each side of the equation.

5 + -5 + -35y = -2 + -5

Combine like terms: 5 + -5 = 0

0 + -35y = -2 + -5

-35y = -2 + -5

Combine like terms: -2 + -5 = -7

-35y = -7

Divide each side by '-35'.

y = 0.2

Simplifying

y = 0.2

Answer:

y=0.20

Step-by-step explanation:

-6y+5=29y-2  Carry the -6 over to the 29.

5=35y-2    Carry the -2 over to the 5.

7=35y

y=0.20

CHECK: -6(0.20)+5=29(0.20)-2

-1.2+5= 5.8-2

3.8=3.8

If you have any questions feel free to ask

The relationships for Paul's and Steve's height with respect to Theresa's height are described above. First you will write expressions for Paul's height and for Steve's height. Then you will relate the expressions.

Answers

Answer:

They are tall, im not sure

In a theater showing a cartoon movie, 13 out of 17 people watching are children. How many children would you predict are watching the movie if there are 204 people in the theater?

Answers

Answer:

102 childs

Step-by-step explanation:

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