The figure has been decomposed into three rectangles as shown. A figure is decomposed into 3 rectangles. The rectangles are 4 inches by 2 inches, 6.5 inches by 2 inches, and 4 inches by 1.5 inches. Find the area of each piece of the composite figure. The area of the top rectangle is A = 4 in.(2 in.) = 8 in2. The area of the middle rectangle is A = 2 in.( in.) = in2. The area of the bottom rectangle is A = 4 in.( in.) = in2. The total area of the figure is in2.

Answers

Answer 1

Answer:

Final answer:

The areas of the three rectangles in the decomposed figure are 8 in², 13 in², and 6 in², respectively, whereas the total area of the composite figure is 27.0 square units.

Explanation:

First, we need to calculate the area of each rectangle separately. The area of a rectangle can be found using the formula Length x Width.

For the first rectangle, with dimensions of 4 units by 2 units, we multiply 4 by 2 which gives us an area of 8 square units.

Similarly, for the second rectangle, having dimensions of 6.5 units by 2 units, multiplying 6.5 by 2 gives us an area of 13.0 square units.

Lastly, for the third rectangle with dimensions 4 units by 1.5 units, multiplying 4 by 1.5 gives us an area of 6.0 square units.

After finding the area of all three rectangles individually, we add them all up to get the total area of the composite figure. Hence, the total area is 8 + 13.0 + 6.0 = 27.0 square units.

Learn more about Area of rectangles here:

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Answer 2

Answer:

27 in³

Step-by-step explanation:

4 × 2 = 8 in²

6.5 × 2 = 13 in²

4 × 1.5 = 6 in²

Total area = 8 + 13 + 6

27 in²

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Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, what size swimming pool, in terms of cubic feet, does Mariana have? Round your answer to the nearest cubic foot.

Answers

The size of swimming pool, in terms of cubic feet, that Mariana has is 2,933 cubic feet. There are approximately 7.5 gallons per cubic foot and there are 22,000 gallons of water. Make a proportion. 7.5 gallons : 1 cubic foot = 22,000 gallons : x. Cross the products and solve for x. x = 1 cubic foot * 22,000 gallons : 7.5 gallons = 2,933 cubic feet.

Answer:

Size of Mariana's swimming pool would be 2933 cubic feet.

Step-by-step explanation:

Mariana's swimming pool holds water = 22,000 gallons

there are 7.5 gallons water per cubic foot,

Now we have to calculate the size of the swimming pool by unitary method.

∵ 7.5 gallons of water is contained = 1 cubic foot of pool

∴ 1 gallon of water will be contained in = $(1)/(7.5)$ cubic foot

∴ 22,000 gallons of water will be contained in = $(22000)/(7.5)$

= 2933 cubic feet

Size of Mariana's swimming pool would be 2933 cubic feet.

Gloria Trench checked her gas mileage and found that she had used 16.6 gallons of gas to travel 372 miles. At this rate, how many gallons will she use to travel from San Fransisco to Washington D.C., a distance of 2850 miles?

Answers

I believe the answer is 127.177419. i got this answer by dividing 372 by 16.6 and got 22.4096386 which i then divided 2850 and divided it by 22.4096386 and got the answer 127.177419. mark me brainiest, give me a heart and correct me if im wrong

If the radius of mars is about 13.7% of neptune's radius, what is the radius of neptune?

Answers

You said that M is 13.7% of N

In algebraic notation M = 0.137 N

Divide each side by 0.137 : N = M / 0.137 = 7.3 M (rounded)

Online or in a real book, you can look up the radius of Mars.
Then write it in place of 'M' in this solution, and you'll have
an actual number for the radius of Neptune.

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?a. -3
b. -2
c. -1/3
d. 1/3

2. A line has a slope -5/3. Through which two points could this line pass?

a. (12,13) (17, 10)
b. (16, 15) (13, 10)
c. (0, 7) (3, 10)
d. (11, 13) (8, 18)

3. The pair of points (6,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

a. -5
b. -2
c. 2
d. 5

4. What is the slope of a vertical line?

a. -1
b. 0
c. 1
d. Undefined

5. The table below gives the best cost per person to rent a fishing charter boat. Find the rate of change given that it is a constant. Also explain what the rate of change means for this situation.

People l Cost ($)
2 l 110
3 l 165
4 l 220
5 l 275

a. 1/55
b. 110/1
c. 1/275
d. 55/1

Answers

1. (-2,5)(1,4)
slope = (4 - 5) / (1 - (-2) = -1 / 3

2. (11,13)(8,18)

3. (6,y)(10,-1)
slope = (-1 - y) / (10 - 6) = (-1- (-2) / 4 = 1/4
y = -2

4. undefined

5. (2,110)(3,165)
slope = (165 - 110) / (3 - 2) = 55/1
this basically means that to rent a charter boat, it will cost 55 per person

If the nth term of a sequence is
4n + 3 what is the 6th term?

Answers

Answer:

27 is the answer to the question

Step-by-step explanation:

4(6)+3=24+3=27

Devyn, Jessica, & Ashley earned a total of $228. Ashley earned $12 more than Jessica and Devyn earned $20 less than twice the amount Jessica earned. How much did each girl earn babysitting?