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kirza4 [7]
3 years ago
8

Gloria wants to rent a studio apartment. The floor plan is shown. What is the total area of the apartment?

Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

178 sq. ft.

Step-by-step explanation:

The total area can be divided into three sub areas viz., T, R₁ and R₂ as shown in the figure.

∴ Total Area = T + R₁ + R₂.

 Area of a triangle = 1/2 (b X h) where b is the base and h is the height of the triangle.

Area of a rectangle = l X b where l is the length and b is breadth of the rectangle.

Now area of T = $ \frac{1}{2} (6 \times 6) = \frac{1}{2} (36) = 18 \hspace{2mm} sq. ft. $

Now area of the first rectangle R₁ = $ 6 \times 8 = 48 \hspace{2mm} sq. ft. $.

Area of the second rectangle R₂ = $ 8 \times 14 = 112 \hspace{2mm} sq. ft. $

∴ Total Area = 18 + 48 + 112 = 178 sq. ft.

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Interpret the following sine regression model.
natita [175]

Answer:

The question is incomplete, so I will describe the sine regression model.

The function

y = 0.884 sin(0.245x - 1.093) + 0.400

correspond to the general equation:

y = a sin(bx - c) + d

where:

a = 0.884

b = 0.245

c = 1.093

d = 0.400

The amplitude of the function is computed as follows:

amplitude = |a| = 0.884

The period of the function is computed as follows:

period = 2π/|b| = 25.6456

The phase shift of the function is computed as follows:

phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)

The vertical shift of the function is computed as follows:

vertical shift = d = 0.400

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4 years ago
BIG IDEAS MATH
IgorC [24]

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106

Step-by-step explanation:

See attached

7 0
3 years ago
Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w
kolbaska11 [484]

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

  • 5 inches long (L)
  • 4 inches wide (W)

And we also know that:

<em>1 inch = 3 feet</em>

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

<em>A = L*W</em>

<em>A = 15 feet * 12 feet</em>

A = 180 square feet

3 0
4 years ago
If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question
Aleksandr [31]

Answer:

The number of horses that can eat 4 stacks of hay in 8 days = 56 horses

Step-by-step explanation:

The given parameters are;

The time it takes 16 horses to eat 5 stacks = 35 days

Therefore;

The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days

The time it takes 16 horses to eat 1 stack of hay = 7 days

The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days

Therefore;

The time it takes 1 horse to eat 1 stack of hay = 112 days

The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days

The time it takes 1 horse to eat 4 stacks of hay = 448 days

Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;

The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.

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3 years ago
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Answer:

-3b - 21

Step-by-step explanation:

You have distribute the -3 to both b and 7. So, you would have to multiply the -3 to both b and 7.

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