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Degger [83]
3 years ago
9

Please please Help! 8 points!

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

  1. area ≈ 59.441 in²
  2. lateral area ≈ 352.671 in²
  3. surface area ≈  471.553 in²

Step-by-step explanation:

1. The area of the regular polygon base of the prism can be found from the formula ...

  A = (nr²/2)sin(360°/n) . . . . where r is the radius and n is the number of sides

Filling in the numbers and doing the arithmetic gives ...

  A = (5·5²/2)sin(72°) ≈ 59.441 . . . square inches

__

2. The lateral area is the product of the height and the perimeter. The perimeter of the regular polygon can be found from ...

  P = 2nr·sin(180°/n) = 50sin(36°) ≈ 29.389 . . . inches

Then the lateral area is ...

  LA = Ph = (29.389 in)(12 in) = 352.671 in²

__

3. The total area is the area of the two bases together with the lateral area:

  S = 2·(base area) + (lateral area) = 2(59.441 in²) + 352.671 in²

  S = 471.553 in²

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Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

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2 years ago
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Novosadov [1.4K]

Answer:

here:

1. -9

2. -28

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