State whether segments of the given lengths can be side of a right angle triangle.
a=7, b=24, and C=25.
Show working to support your answer. *
2 Points

Answers

Answer 1

Given:

In a triangle,

[tex]a=7,b=24,c=25[/tex]

To find:

Whether the given segments are the sides of a right triangle or not.

Solution:

In a right triangle the square of largest side is equal to the sum of squares of two smaller side.

[tex]c^2=a^2+b^2[/tex]                 (Pythagoras theorem)

Three sides are [tex]a=7,b=24,c=25[/tex]. Here, 25 is the largest side.

[tex]25^2=625[/tex]

Now, the sum of squares of two smaller sides is:

[tex](7)^2+(24)^2=49+576[/tex]

[tex](7)^2+(24)^2=625[/tex]

[tex](7)^2+(24)^2=25^2[/tex]

Since the sum of squares of two smaller side is equal to the square of largest side, therefore the given segments are the sides of a right triangle.


Related Questions

What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm

Answers

Answer:

B. 191 cm2

Step-by-step explanation:

have a nice day!!! :)

The area of the Circle is 191.03 cm².

Option B is correct.

What is Area of Circle?

Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.

The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.

The area of a circle is calculated as A = πr², where r is the radius of the circle.

Given:

r = radius = 7.8cm

π = 3.14

So, area of Circle

= πr²

Now, substitute the values we get

= 3.14 x 7.8 x 7.8

= 3.14 x 60.84

= 191.03 cm²

Thus, the Area of Circle is 191.03 cm².

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If a basketball is bounced from a height of 15 feet, the function f(x)=15(.75)^x gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth of a foot.

Answers

Answer:

3.5595feet

Step-by-step explanation:

Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function

f(x)=15(.75)^x

f(5)=15(.75)^5

f(5)=15(0.2373)

f(5)= 3.5595

Hence the height after the 5th bounce is 3.5595feet

Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot

Step-by-step explanation:

.75 to the power of 5 times 15

Find the area of a garden whose circumference is 36 yards.

Answers

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Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?


A) $11,390

B) $112,250

C) $123,640

D) 227,800

Answers

Electrician
$61 820 x 20 years
= $1 236 400

Social worker
$50 430 x 20 years
= $1 008 600

Difference
$1 236 400 - $1 008 600
= $227 800

find x / solve for x

Answers

Answer:

Step-by-step explanation:

Create and solve an equation of ratios:

5      x

--- = ----

4      8

Cross multiplying yields 4x = 40, or x = 10

Naomi used a rectangle, a square, and a right triangle to form the following figure. What is the area of the shaded region of the figure in square centimeters?

Answers

Answer:

102cm²

Step-by-step explanation:

Step 1 find the area of the whole rectangle

Area of a rectangle = width times length

The width of the rectangle is 20 cm and the length is 6cm

So the area = 20 * 6

20 * 6 = 120

Hence the area of the rectangle is 120 square centimeters.

Step 2 Find the area of the square and the triangle

Area of square = s²

where s = side length

The square has a side length of 3 so the area of the square = 3²

3² = 9

Hence, the area of the square is 9cm²

Now to find the area of the triangle

area of a triangle = [tex]\frac{bh}{2}[/tex] where b = base length and h = height

We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)

Now to find the base length

We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )

so triangle's base length = 20 - 11 - 3

20 - 11 - 3 = 6

so the base length of the triangle is 6 cm

now we plug in the values of the height and the base length into the formula

[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]

Hence the area of the triangle is 9 cm²

Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle

so your answer = 120 - 9 - 9

120 - 9 - 9 = 102

Hence, the area of the shaded region is 102 square centimeters.

Is x = 7 a solution to the equation 3x - 4 = 15? No Yes

Answers

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

What is an Equation?

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

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I need help hurry please

Answers

Answer:8.8ft

Step-by-step explanation:

250/3.14*3^2

250/3.14*9

250/28.26

8.8464

8.8ft

Please need help evaluate the math problems

Answers

x + y when x = 6 and y = 2

6 + 2 = 8

[tex]\frac{9x+24}{4}[/tex] when x = 12 and y = 20

[tex]\frac{148}{4}[/tex] = 37

[tex]\frac{6m}{n}[/tex] when m = 12 and n = 3

[tex]\frac{72}{3}[/tex] = 24

Six times x

6x

Six increased by x

6 + x

The sum of x and y

x + y

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.

Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8

What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.

Answers

Answer:

its a on edg 2021

Step-by-step explanation:

The median age of a man at the time of his first marriage is, on the average, constant.

What is the average change rate?

It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.

Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.

Determine the rate of change between 1950 and 1960.

The average rate of change = [f(a) - f(b)]/ [ a - b ]

The average rate of change is equal to (22.8 - 22.8) / 10 = 0.

As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.

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Part I
What is the area of the side yard?

Answers

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

x^(2)-4x-17=0
Please show work step by step

Answers

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21

find the sum of the polynomial : (3 x2- 8x + 2) + (3 x3 + 7x + 6) =

Answers

Answer:

3x² + 3x³ - x + 8

Step-by-step explanation:

All we have to do is add the terms together

(open parentheses as well)

3x² - 8x + 2 + 3x³ +7x +6

now, simplify

3x²+3x³-x+8

Look at this graph :
Is this relation a function?

Answers

Step-by-step explanation:

Yes it is a function dearest

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

Answer: 336 ft cubed

Step-by-step explanation:

Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336

help me pzz please please ​

Answers

Answer:

Step-by-step explanation:

i dont get it

Answer:

just multiply al the sids like you would with a square

Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14

Answers

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

D is the answer when u simplify the answer

hi please help i’ll give brainliest thanks

Answers

Answer:

point A

Step-by-step explanation:

Hope this helps you dude.

Find the volume of the sphere.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest hundredth.

radius is 8

Answers

Answer:

volume = 682.67π  units³     or     2143.58 units³

Step-by-step explanation:

volume = 4/3πr³

volume = 4/3π8³ = 4/3π(512)

volume = 682.67π

if i get 20 dollars per 5 minutes for 10 hours how many dollars will i make

Answers

Answer:

2400 dollars

Step-by-step explanation:

600 minutes in 10 hours

600/5 = 120

120*20 = 2400 dollars

What is the value of 4a ^2 when a = 3?

Answers

48 I think because 4 x 4 = 16 x 3 = 48

Answer:

36

Step-by-step explanation:

4×(3)²

4×9

36

ggsfgsrgr help please

Answers

Answer:

The answer is m=0.10L

Step-by-step explanation:

You just input the values in L in the equation to get M you just do process of elimination

M equals 0.10L is the anwer I swear

You randomly choose one marble from the jar. Find the theoretical probability of the event.
1. Choosing a red marble
2. Choosing a green marble
3. Not choosing a blue marble

Answers

Answer:

1. 33%

2. 16%

3. 50%

Step-by-step explanation:

A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117

Answers

Answer: A Canadian tourist carried CAN $500 with him to Jamaica to spend. If he were to change it into Jamaican currency, how much JM dollars would he have to spend? CAN $1.00 = JMD $117

Hope this helps, if I got it wrong, I'm very sorry.

Will give Brainliest please help!!!!!!!!!!!!!!

Answers

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and  exhibitors get collected5+2= 7. I hope i helped you!

Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.

Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32

Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot

Answers

Answer:

A. Bar graph

Step-by-step explanation:

Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.

Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=

Answers

Answer:

smaller answer x=-9

larger answer x=1

Step-by-step explanation:

[tex]x^{2}[/tex]+8x+14=23

[tex]x^{2}[/tex]+8x-9=0

D=64+36=100

[tex]x_{1} =\frac{-8+10}{2} =1[/tex]

[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]

so, smaller answer x=-9

larger answer x=1

Answer:

x = - 9, x = 1

Step-by-step explanation:

Given

x² + 8x + 14 = 23 ( subtract 23 from both sides )

x² + 8x - 9 = 0 ← in standard form

(x + 9)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9 ← smaller answer

x - 1 = 0 ⇒ x = 1 ← larger answer

PLEASE HELPPP ME!!!
complete the table.
do not put the link/site it gives me ur info and i can hack it lol.

Answers

Answer:

-28.5

-5

-11.8

-4.5

Step-by-step explanation:

From that data provided for Monday

Temperature at noon = temperature at midnight + the change in temperature

-32 + 20 = -12

Temperature on Tuesday's noon = -17.5 + (-11) = -28.5

Temperature on Friday's noon = -21.8 + 17.3 = -4.5

From that data provided for Monday

Temperature at midnight = temperature at noon - change in temperature

-12 - 20 = -32

Temperature on Wednesday's midnight = 10.5 - 15.5 = -5

From that data provided for Monday,

change in temperature = temperature at noon - temperature at midnight

-32 - (-12) = 20

Change in temperature on Thursday = -24 - (-12.2) = -11.8

What is the circumference in centimeters of the circle 24cm

Answers

Answer:

75.36

Step-by-step explanation:

C= 2 pi r

c= d pi

c= 24*3.14

c= 75.36

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