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2 years ago

Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 8 centimeters.

Mathematics

1 answer:

MArishka [77]2 years ago

3 0

Answer:

8 $\sqrt{2$ = $\sqrt{128$ = 11.31

Step-by-step explanation:

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The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

2 years ago

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Xelga [282]

The total distance traveled by the robot from t=0 to t=9 is 1422 units

Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.

Given that the position s(t) at any time t is given by the function:

s(t)=9t²−90t+4

The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9

Therefore:

$Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units$

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

7 0

1 year ago

Make x the subject in the relation

tatyana61 [14]

Cant read your writing-

7 0

2 years ago

___,36 ,108 ,324 ,972

hjlf

12

First figure out of it is a arithmetic or geometric sequence, in this case it is a geometric sequence because you have to multiply, not add to find the next number.

Divide one number, I'll pick 324 by the number before it, 108, you get three.

Now divide 36 by 3, you get 12.

To check, multiply 12 by 3, you get 36, multiply that by 3, you get 108, and so on and so forth.

3 0

2 years ago

Write the sentence as an equation. 16 equals 392 multiplied by k

Natasha2012 [34]

Answer:

The answer to your question is: 392 × k =16

5 0

2 years ago