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2 years ago

Find the surface area of the figure?

Mathematics

1 answer:

motikmotik2 years ago

4 0

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

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2 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

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3 years ago

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JulsSmile [24]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The local water slides have 100 employees, of which 30% are temporary. How many temporary employees are there?

Ugo [173]

Answer:

There are 30 temporary employees

Step-by-step explanation:

To find x% of quantity A, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ (x ÷ 100) × A

Let us use this rule to solve the question

∵ The local water slides have 100 employees

∵ 30% of them are temporary

∴ The number of temporary employees = 30% × 100

∵ 30% = 30 ÷ 100 = 0.30

∴ The number of temporary employees = 0.30 × 100

∴ The number of temporary employees = 30

∴ There are 30 temporary employees

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3 years ago