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zhuklara [117]
3 years ago
9

Please help me on this problem​

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
<h2><em><u>Answer:</u></em></h2>

Total Surface Area = 375 ft^2

<h2><em><u>Step-by-step explanation:</u></em></h2>

You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls

<u>Area of the ceiling:</u>

c = length * width

c = 9*6.5 = 58.5

<u>Area of the 2 rectangle walls:</u>

w = 2(length * width)

w = 2(9 * 8)

w = 2(72)

w = 144

<u>Area of floor:</u>

f = 9 * 7.5

f = 67.5

<u>Area of the two trapezoids:</u>

t = 2(h * \frac{a + b}{2})

a = 6.5

b = 7.5

h = 7.5

t = 2(h * \frac{a + b}{2})

t = 2(7.5 * \frac{6.5 + 7.5}{2})

t = 2(7.5 * \frac{14}{2})

t = 2(7.5 * 7)

t = 2(52.5)

t = 105

Total Surface Area = c + w + f + t

Total Surface Area = 58.5 + 144 + 67.5 + 105

Total Surface Area = 375 ft^2

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svetlana [45]

Answer/Step-by-step explanation:

Total Distance = 3Ft

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

Amplitude = 3/2 = 1.5         period = 10 second

\frac{0}{1} =\frac{2\pi }{b}      b=\frac{\pi }{5}         No ph. Shift

b) Write an equation of a function that models the buoy with x=0 at its highest point.​

y= 1.5 cos ( \frac{\pi }{5} x)

3 0
2 years ago
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
IrinaVladis [17]

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when M = 0.08

We have that \sigma = 0.72

M = z*\frac{\sigma}{\sqrt{n}}

0.08 = 2.575*\frac{0.72}{\sqrt{n}}

0.08\sqrt{n} = 2.575*0.72

\sqrt{n} = \frac{2.575*0.72}{0.08}

(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

n = 537.1

Rounding up

538 books should be tested.

6 0
3 years ago
0.10x + 185 = 0.08x + 250
geniusboy [140]
0.10x - 0.08x = 250 - 185
0.02x = 65
x = 3250
6 0
3 years ago
The function h (2) = -16x2 + 200 gives the height, in feet, of a ball after 2 seconds since being dropped from a
aksik [14]

Answer:The ball dropped 56 feet after 3 seconds

Step-by-step explanation:

3 0
3 years ago
One a piece of paper graph this system of inequalities y&lt;-1/3x+3, y&gt;3x+2
kolbaska11 [484]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y < -\frac{1}{3}x+3 ----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-\frac{1}{3}x+3

The slope of the dashed line is negative

The y-intercept of the dashed line is 3

The x-intercept of the dashed line is 9

y > 3x+2 ----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=3x+2

The slope of the dashed line is positive

The y-intercept of the dashed line is 2

The x-intercept of the dashed line is -2/3

The solution of the system of inequalities is the shaded area between the two dashed lines

see the attached figure

8 0
3 years ago
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