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3 years ago

A triangle has sides with lengths of 8 inches, 15 inches, and 17 inches. Is it a right triangle?

Mathematics

2 answers:

zysi [14]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

Pythageron Theorem:

a^2+b^2=c^2

a and b are the legs, or the 2 shorter lengths. (8 and 15)

c is the hypotenuse, or the longest length (17)

8^2+15^2=17^2

64+225=289

289=289

Since the statement is true, it is a right triangle

Hope this helps! :)

In-s [12.5K]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

A square plus b square equal c square

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Here are four digits 9 4 7 5 use two of these digits to make the largest possible two digit number

tiny-mole [99]

Answer:

Step-by-step explanation:

3 0

2 years ago

Angle K and angle L are complementary angles. If angle k = (3x + 3)" and angle k= (10x - 4)". find the

soldier1979 [14.2K]

Answer:

3X+3+10X-4=90

13X-1=90

13X=91

X=91/13=7

<K=10X7-4

70-4

<K=66(SUM OF COMPLEMENTARY ANGLE =90)

<K=24

5 0

2 years ago

The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y

jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

= 0.8916%

Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

= $20,000×0.008916

= $178.3

Hence the approximate monthly decrease in value is $178.3

7 0

2 years ago

What is the rate of change from x = n to x = 2n?

puteri [66]

Answer:

$\dfrac{-8}{\pi}$

Step-by-step explanation:

The rate of change of the function f(x) from point $x_1$ to point $x_2$ can be calculated using formula

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$x_1=\pi\\ \\x_2=2\pi$

From the graph of the function

$f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4$

So, the rate of change is

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}$

5 0

3 years ago

Anyone know how to do this

svlad2 [7]

Answer:

The area of the rectangle on the left side is

$9cm \: \times 4cm = 36 {cm}^{2}$

The area of the bottom rectangle is

$6cm \times 2cm = 12 {cm}^{2}$

The total area of the composite figure will be

$36 {cm}^{2} + 12 {cm}^{2} = 48 {cm}^{2}$

Step-by-step explanation:

The area of any given rectangle can be found by multiplying the length of that rectangle by its width. The rectangle on the left side has a length of 9cm but the width is unknown. To find the width, we subtract 6cm from the width of the bottom rectangle: 10cm. And that gives us 4cm.

Therefore, we can now calculate the area to be: length × width = 9cm × 4cm = 36cm²//

The area of the bottom rectangle can be found similarly by multiplying the length: 2cm by the width: 6cm of that rectangle. And the result gives us: 2cm × 6cm = 12cm²//

The total area of the composite figure is calculated by adding the results from the left and bottom rectangles together. And that gives us: 36cm² + 12cm² = 48cm²//

8 0

3 years ago