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MariettaO [177]
3 years ago
11

Find the surface area of the following figure

Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

<h2>510.4 ft²</h2>

Step-by-step explanation:

We have:

two trapezoids with bases 15ft and 7ft and height 5ft.

four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.

The formula of an area of a trapezoid:

A_t=\dfrac{b_1+b_2}{2}\cdot h

b₁, b₂ - bases

h - height

Substitute:

A_t=\dfrac{15+7}{2}\cdot5=\dfrac{22}{2}\cdot5=(11)(5)=55\ ft^2

The formula of an area of a rectangle:

A_r=lw

l - length

w - width

The dimensions of rectangle l × w

Subtitute:

A_1=(5)(11)=55\ ft^2\\\\A_2=(15)(11)=165\ ft^2\\\\A_3=(9.4)(11)=103.4\ ft^2\\\\A_4=(7)(11)=77\ ft^2

The surface area of the figure:

[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]

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In circle P, EG and FH are diameters.<br> What is m EH?
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Answer:

m(\widehat{EH}) = 130°

Step-by-step explanation:

Angles subtended at the center by the arcs (\widehat{HG}) and (\widehat{EF}) are ∠HPG and  ∠EPF.

Since these angles are the vertical angles both will be equal.

m∠HPG ≅ m∠EPF

3x - 10 = 2x + 10

3x - 2x = 10 + 10

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Therefore, m(\widehat{HG})=(3\times 20) - 10

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Similarly m(\widehat{EF}) = 50°

In the same way angles subtended at the center will be equal.

m∠EPH ≅ m∠FPG

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Since m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360°

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3 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

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Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

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<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

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<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
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2 years ago
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25%

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difference between 8 and 10 is 2, so 8 would need to increase by 2 to get to 10.

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answer is 25%

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