A right triangle has the leg lengths of 3X and 40 and a hypotenuse of length 5X. How long are the sides?

Answers

Answer 1
Answer:

Answer:

Hypotenuse = 10 units

Step-by-step explanation:

According to the Pythagoras theorem:

{hyp}^(2)  =  {(one \: leg) }^(2)  +  {(other \: leg)}^(2)  \n  \therefore \:  {(5x)}^(2)  =  {(3x)}^(2)  +  {40}^(2)  \n  \therefore \:  {25x}^(2)  =  {9x}^(2)  +  1600 \n  \therefore \:  {25x}^(2)  -  {9x}^(2)=  1600 \n \therefore \:  {16x}^(2)=  1600 \n \therefore \:  {x}^(2)=   (1600)/(16)  \n \therefore \:  {x}^(2)=  100 \n \therefore \:  {x}=  10 \n

Hence, length of hypotenuse = 10 units.


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Is it possible to draw a triangle with sides that are 4 inches, 5 inches, and 8 inches long? Justify your answer

Answers

Yes, because 4+5>8....
yea because 4+5 is 9 and 8 is less than 9

What times what will give me 30

Answers

What times what will give me 30
the answer is 6x5
5*6=30 because I did it in my head and I know how to multiply.

What is the value of z?

Answers

Solve:-

This triangle's angles sum should equal to 180°. Lets find z:-

180 - 62 = 118
118 - 95 = 23

Angle z = 23°

To change a temperature in degrees Celsius, C, to a temperature in degrees Fahrenheit, F, the equation below can be used.F = 9/5C+32

Select the state that best describes this equation.

A. The equation is a nonlinear function.
B. The equation is not a function.
C. The equation is a linear function.

Answers

equation of line has form of y=kx±b, so

Answer: C

Answer:

C

Step-by-step explanation:

i'm doing a test right now on this question

Simplify 6(-5).
What is the answer

Answers

Answer: -30

Step-by-step explanation:

6(-5)

The negative sign will still stay.

Hence, 6x -5

= -30

Feel free to ask any questions. I'd be glad to explain.

-30
6*-5=-30

So -30 is the answer

What does 64/100 represent as a ratio and a percent

Answers

64/100 is easy its just 64 out of 100