The two leg lengths of a triangle are 21 and 28 ft. What is the length of the hypotenuse?

Answers

Answer 1

Answer:

588

Step-by-step explanation:

Answer 2

Answer

The length of the hypotenuse is 35 feet.

Explanation

This is the formula to find the hypotenuse.

[tex]l^{2} + l^{2} = h^{2}[/tex]

One leg is 21 feet. The other is 28 feet. Now insert those into the formula.

[tex]21^{2} + 28^{2} = h^{2}[/tex]

[tex]h^{2}=1225[/tex]

Now to find what h is you should find the square root of 1225.

[tex]\sqrt{1225} =35[/tex]

So the length of the hypotenuse is 35 feet.


Related Questions

Which of the following transformations always preserve the orientation of a figure?
1- Translations
2- Rotations
3- Reflections
4- None of them

Answers

Answer:

Translation

Step-by-step explanation:

Translation is when something moves or slide. Orientation refers to the way it is facing or turned.

The required given statement is Reflections is transformations always preserve the orientation of a figure.

What are transformations?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given statement is which transformations always preserve the orientation of a figure.

According to given question we have

Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.

In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.

Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.

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Which one should I choose

Answers

Answer:

D: - 64

Step-by-step explanation:

you replace x with 2. 4 to the second power is 16 and then you multiply by -4

HELPPPPPpPpppppppppppp

Answers

Answer:

360000

Step-by-step explanation

Step-by-step explanation:

36000

move the decimal to right 4 time then fill the blank with 0

example: 3.6×10⁴ = 36000

note: if the power is positive mo right, if negativw movw the decimal point to left

SOMEONE AWNSER FAST PlS

Answers

Answer:

15X - 11 = <LMN

Step-by-step explanation:

add the two expressions together

BRAINLIEST AND EXTRA POINTS IF U HELP !

Gina has 26 more barrettes than Holly.

The equation g = 26 + h, where g represents the number of barrettes Gina has, and h represents the number of barrettes Holly has, shows this relationship.

If Gina has 49 barrettes, how many barrettes does Holly have?
A. 23
B. 72
C. 75
D. 19

Answers

Answer:

its A 23

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

........................

Answers

Answer:

Ello

Step-by-step explanation:

........................

A line passes through (2, 8) and (4, 12). Which equation best represents the line? (10 points)


y = 1 over 2 x + 6

y = 2x + 7

y = 2x + 4

y = 1 over 2 x + 10

Answers

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

Help me pleaseeee I would be happy
Give a real-world scenario where positive and negative numbers represent opposites
1.what do the positive numbers represent?
2 what do zero represent in this scenario?
3 what do the negative number represent?

Answers

Answer:

how much you have ( tommy plucked 6 apples from a tree)

have nothing  (tommy gave away 6 apples)

have less than 0  ( tommy gave away 6 apples)

6-6=0

Step-by-step explanation:

Two stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is
geometrically similar to the large stage floor in the auditorium, as shown below.
24
8
1211
Which proportin can be used to find the length of x, the large stage floor?
o
12
24
24
12+
12 I
8
24
1+12

Answers

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

12 / x

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

8 / 24

The ratio must be equal to each other to prove the similarity . Therefore,

12 / x = 8 / 24

The correct proportion that can be used to find x is 12 / x = 8 / 24

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The equations of four lines are given. Identify which lines are parallel.
Line 1:
y=-7x + 6
Line 2:
x +1/5y=-6
Line 3:
y=-5x -8
Line 4:
y+7=-1/7(x+4)

Answers

Answer:

Line 2 and 3 are parallel

Step-by-step explanation:

Recall that the general equation of a line in slope-intercept form is given by:

y = mx + b

where m is the gradient (slope).

two different equations that have the same value of m is said to have the same gradient and hence are parallel.

We simply have to rearrange each given equation so that it takes the form

y = mx + b and then compare all 4 to see which values of m are the same.

Line 1 :  y = -7x + 6

Line 2: x +(1/5)y=-6 ===> rearrange to get y = -5x - 30

Line 3:  y= -5x -8

Line 4:  y+7=(-1/7)(x+4) ===> rearrange to get y = (-1/7)x - (53/7)

comparing the above, it is clear that line 2 and line 3 have m- values of m = -5, hence these lines are parallel.

Samir is a self-employed marketing consultant. He had no income from January through March 2020. His April through December 2020 income subject to SE tax is $55,000.
Samir's SE tax for 2020 is $7,771 [$55,000 x 0.9235 x 0.153 = $7,771]. Samir may reduce his estimated tax payments by how much?

Answers

Answer:

Step-by-step explanation:

Since he is his own boss, he is basically a self employed taxpayer and should be to deduct the employer portion of self employment taxes that he/she pays during the year.

In a case like this, the total self employment taxes are $7,771 x 50% = $7,771 * 0.5 = $3,885.50. This money also now, is corresponding to employer taxes (the other 50% are not deductible since they correspond to employee taxes).

Self employment taxes composes but not limited to Medicare and Social Security taxes (FICA taxes basically).

12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes

Answers

Answer:

distributive proper

Step-by-step explanation:

mulitiply

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1. A −1 B 1 C −5 D 5

Answers

Answer:

D. 5

Step-by-step explanation:

From the information given:

The derivatives of functions and functions have a different average rate. The average rate expanded over an interval of two distinct point (a f(a)) and (b f(b)) is represented by the equation:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

where; the two points are:

(-1 , f( -1) )    &    ( 1,  f(1) )

For f(1); we have:

f(1) = 1 +3(1)³ - 5(1)² + 2(1) - 2

f(1) = 1 + 3 - 5 + 2 -2

f(1) = - 1

For  f( -1); we have:

(-1)⁴ + 3(-1)³ - 5(-1)²+2(-1)-2

= 1 - 3 - 5 -2 - 2

= -11

[tex]=\dfrac{-1-(-11)}{1 - (-1)}[/tex]

[tex]=\dfrac{-1+11}{1 +1}[/tex]

[tex]=\dfrac{10}{2}[/tex]

= 5

Write the slope -intercept form of the given line.include your work in your answer.Type your answer in the box provided or

Answers

Do you have the picture??
I think the slope- intercept form is y=mx+b

What is cot(< a)?
Reduce fractional answers to lowest terms.​

Answers

Answer:

The value of cot (∠A) = 3/4

Step-by-step explanation:

Given the angle ∠A of a right-angled triangle

The opposite of ∠A = 4The adjacent of ∠A = 3

We know that the trigonometric ratio

cot (∠A) = adjacent / opposite

             =  3/4

Thus, the value of cot (∠A) = 3/4

25
Find the inequality represented by the graph.

Answers

Answer:

y > 4x - 2

Step-by-step explanation:

First, let's find the equation of the line.

Use points (0, -2) and (1, 2) on the graph.

The y-intercept is (0, -2), find the slope:

m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(1 - 0) = 4/1 = 4

The line is:

y = 4x - 2

Now, we see the line is dotted and the space to the left side is shaded.

Dotted line means the inequality doesn't include the points on the line, therefore the sign would be > or <.

Since the left side of the line includes greater values of the function, it should have > sign.

So the inequality is:

y > 4x - 2

Find the constant and exponents of 7y + x-5 + 2

Answers

Answer:

Exponents: 1

Constants: -5, 2

Step-by-step explanation:

7y + x - 5 + 2

Exponents: 1

Constants: -5, 2

Help find the measure of the angle indicated!!!?

Answers

Answer:

50°

Step-by-step explanation:

[tex]m\angle RST = \frac{1}{2} \times (150\degree - 50\degree) \\\\

m\angle RST = \frac{1}{2} \times 100\degree \\\\

\purple{ \bold{m\angle RST =50\degree}} \\\\[/tex]

Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved

Answers

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t

Answers

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

In the following equation, f(x)=2x +7, what is f(-3)?

Answers

Answer:

f(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 7

f(-3) is x = -3

Step 2: Evaluate

Substitute:                   f(-3) = 2(-3) + 7Multiply:                       f(-3) = -6 + 7Add:                             f(-3) = 1

Help. Need help ASAP!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

18's factors are 2 * 3 * 3

The two 3s can reduce the result further. sqrt (2 * 3 * 3)

square root 18 = 3*sqrt(2)

There are two sides with this length. Their total is 3sqrt(2) + 3sqrt(2) = 6√2

The perimeter is the sum of all three sides = 6 + 6√2

slope m=-2, point: (4,3)​

Answers

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

slope = m = -2point (4, 3)

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

m is the slope(x₁, y₁) is the point

substituting the values m = -2 and the point (4, 3) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

[tex]y=-2x+11[/tex]

Find the a2, a3, and a4 terms of the sequence defined as:

Answers

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

What is 7/9dividing1/3 a fraction is

Answers

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

Darlene wil borrow $2200 at 15% APR She will pay it back in 12 months
How much interest will she par? Use the table
Interest Per 5100
75 APR 996 APR 11% APR 135. APR 155 APR
Months
3
175
2.25
275
3.25
3.75
3.50
5.50
6.50
7.50
5.25
8.75
0)
8.25
975
11.25
7.00
9.00
13.00
15.00
15
8.75
13.75
16.25
18.75
10.50
13.50
16.50
19.50
22.50

Answers

Answer:

$330

Step-by-step explanation:

The Value of interest will she par is,

⇒ $ 330

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Now,

According to the table;

For a time of 12 months and at a rate of 15%,

The interest per $100 is, $15.

Therefore, for a principal of $2200 the interest will be;

⇒ $ (2200/100) × 15

⇒ $ 330

Thus, Value of interest will she par is,

⇒ $ 330

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Which is parallel to x-3y=24

Answers

Answer:

3Y=x-24

Y=1\3x-8

Step-by-step explanation:

Any equation that has a slope equals to 1\3

help for cookie !!!!!!

Answers

Answer:

hi

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8x - 5x + 4 - x = Ax + 8             -------   start by combining the on the left

(8x - 5x - x) + 4 = Ax + 8           -------   solve

2x + 4 = Ax + 8       ------    A has to be the same # as the variable on th left side

2x + 4 = 2x + 8       -------   now subtract 2x from both sides

4 = 8

(X-6)^2 multiply and expand

Answers

The answer will be x - 36, first u do the brackets and then you will get x - 6 ^ 2 then all you do it square times 6 by itself. You will then get x - 36

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

Is (1, 8) a solution to the inequality y < 6x + 2?
yes
no

Answers

Yes both sides equal 8
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