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 square 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.
An architect created plans for a house using a scale - 1

Answers

Answer 1
Answer: 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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How many solutions are possible for a triangle with B=44,a=23,=12?

Answers

b/sinB = a/sinA 

12/sin44 = 23/sinA

12sinA = 23*sin44

sinA = (23*sin44)/12

sinA = 1.3314 

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The theater arts committee estimated that it would sell 200 tickets for its upcoming play. The committee actually sold 224 tickets. What was the percent error in the committee’s estimate? Round your answer to the nearest tenth of a percent.

Answers

First, subtract the estimated tickets that will be sold from the actual tickets sold. 200 – 224 = -24, ignore the negative sign, so the error is 24. Then, divide the error by the actual ticket sold, 24/224= 0.1071 and multiply the answer by 100 to get the percentage. So, the percentage error is 10.7%. 

What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ?

Answers

Each successive number is the sum of the 2 previous numbers, so the next number in the sequence would be

21 + 34 = 55

Answer:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55

Step-by-step explanation:

PLEASE HELP ME. I NEED TO ANSWER THIS ASAP. I WILL LOVE YOU FOREVER OMG. Okay so the question is - Keith is racing this little sister Pattie and has given her a 15 foot head start. She runs 5 ft/sec and he is chasing at 8ft/sec. For how long can Pattie stay ahead of Keith?

Answers

Keith runs (8 - 5) = 3 ft per sec faster than Pattie, so every second he gets 3 ft closer to her. If they do that for (15/3) = 5 seconds, he'll catch up to her.

Choose the statistic that is considered a measure of spread. Mean Median Standard deviation Mode

Answers

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A team of three laborers in Mongolia makes rugs by hand for export to the United States. The team works 14 hours a day, six days a week, 50 weeks a year, and is able to make 12 rugs a year. Each laborer is paid a wage that is equivalent to $1.10 per day. The rugs sell for $2,000 each in the United States.

Answers

Given:
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year

1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost

total material cost:
50 per rug * 12 rugs = 600 

total revenue:
2,000 x 12 rugs = 24,000

total profit:
total revenue:          24,000
less:
material cost                 600
labor cost                      990
fixed cost                 10,000
profit                        12,410