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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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Answer:

Step-by-step explanation:

-0.25x+1.75x<-1.75+2.5 x

sift terms containing x to right and constant term to left

1.75<2.5 x+0.25x-1.75 x

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3 years ago
Students have organized
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Answer:

Part A. At least 6 hours

Part B.  In less than 2.5 hours Elijah will be behind Mercedes

Part C.  In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: at least 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, so

D_E=3.2x\\ \\D_M=2.4x+2

Elijan will be behind when

D_E

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: v_M=3\ mph

Elijan's speed: v_E=3.2\ mph

Elijan's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42,  and Aubrey starts walking at the marker for Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijan will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

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Answer:

Example 1:

A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. if the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?

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Step 1: Assign variables:

Let x = time taken to fill up the tank

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Since pipe C drains the water it is subtracted.

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Answer:

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A firm expresses itself through its products and services. Therefore, planning and development of products is a vital issue in business.

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3 years ago
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