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frez [133]
3 years ago
10

An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 squa

re feet. What is area of the floor in the actual house? Enter your answer in the box.
A rectangle has a length of 6 inches and a width of 3 inches.

What is the effect on the perimeter when the dimensions are multiplied by 8?

The perimeter is increased by a factor of 8.
The perimeter is increased by a factor of 24.
The perimeter is increased by a factor of 64.
The perimeter is increased by a factor of 256.

This figure is made up of a triangle and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round only your final answer to the nearest tenth.

Enter your answer, as a decimal, in the box.

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0
Q1.the given scale factor is 1:16
the area is 7 square feet
when calculating the area the scale factor is squared as well. 
since the scale factor is 16, to find out area the scale should be squared that is,
16*16 = 256

then the new area is 7 square feet * 256 
actual area = 256 * 7 = 1792 square feet 
Q2. the rectangle with length 6 inches and width 3 inches. 
the perimeter of the rectangle before changing dimensions are;
=(6*2) + (3*2) 
= 12 + 6 = 18 inches
after multiplying the dimensions by 8,
new length = 6*8 = 48 inches
new width = 3*8 = 24 inches 
new perimeter = (48*2) + (24*2)
                        = 96 + 48 
                        = 144 inches
the perimeter ratio from new to old = 144:18
the perimeter has increased by (144/18) times
= 144/18 = 8
answer is perimeter increased by a factor of 8

q3) 
area of the triangle 
= 1/2 * height * base
= 1/2 * (5-2) *(4-(-3))
= 1/2 * 3 * 7
= 10.5 units²
area of semicircle 
=pi*r2
r = 2-(-1.5)
 = 3.5
area = 3.14 * (3.5)²
        = 38.465 units²
total area = area of triangle + area of semicircle 
               = 10.5 + 38.465
              = 48.965
round it off to the closest tenth
              area = 49 units²
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Georgia needs to buy some cheese. An 8-ounce package of
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4 0
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Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need
Andreas93 [3]

Answer: \frac{3}{4}\ cup of quinoa, \frac{3}{8}\ cup of flaxseed, 1\ cup of soy protein.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.

Based on the table you can write the following proportion:

\frac{\frac{1}{2} }{2}=\frac{q}{3}

Solving for "q", you get:

\frac{1}{4}=\frac{q}{3}\\\\q=\frac{3}{4}

 Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.

With the data given in the table you can write the following proportion:

\frac{\frac{1}{4} }{2}=\frac{f}{3}

Solving for "f", you get:

\frac{1}{8}=\frac{f}{3}\\\\f=\frac{3}{8}

Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.

Using the table you can write this proportion:

\frac{\frac{2}{3} }{2}=\frac{s}{3}

Solving for "s", you get:

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6 0
3 years ago
jackson had 1 and 1/3 gallons of juice he poured 5/6 gallon to share with his friends how much of the juice is left
FromTheMoon [43]
1 1/3 - 5/6

Find common demoninator which is 6.

Then do 2*1=2.

Now you got 2/6 - 5/6 = -3/6

Simplify:

-3/6=-1/2

Then combined answers.

1 - 1/2 = 1/2

Final answer is 1/2


6 0
3 years ago
Read 2 more answers
PLS HELP ME IS EZZZZZ
Arte-miy333 [17]

Answer:

825.663706143591cm

Step-by-step explanation:

80cm × 4 = 320cm

100cm × 3 = 300cm

The radius is 40

40 × 2 = 80cm

Circumference is πd

π80 = 251.327412287183

÷ 2 = 125.663706143591cm

In total

320 + 300 + 80 + 125.663... =

825.663706143591cm

6 0
2 years ago
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