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blsea [12.9K]
4 years ago
9

An isosceles trapezoid has base angles equal to 45º and bases of lengths 6 and 12. Find the area of the trapezoid.

Mathematics
1 answer:
Vilka [71]4 years ago
6 0
The answer is 2743 sq
You might be interested in
C Betty rearranged the movies on her shelving unit after a few days. She placed equal numbers of movies on the bottom 3 shelves,
mixas84 [53]

There are total 53 movies on the shelving unit

Step-by-step explanation:

<u>DATA</u>

Equal movies on the bottom 3 shelves: 3x

10 movies on each of the top 2 shelves = 2*10 = 20

<u>Equation:</u>

3x + 20

<u>Question:</u>

Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11

<u>Solution:</u>

3x + 20

3(11) + 20 = 33 + 20 = 53

Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.

Keywords: equation

Learn more about equation at

  • brainly.com/question/1284310
  • brainly.com/question/13168205

#LearnwithBrainly

5 0
3 years ago
PLZ CHECK MY ANSWER. Round your answer to the nearest tenth.
Umnica [9.8K]

Answer:

D. 70.34 cm^2

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

area = \frac{56}{360}*3.14*12^2

area = 70.34

Area of the sector ABC = 70.34 cm^2

The answer is D

4 0
4 years ago
There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0
3 years ago
Jan spent the day at the mall. She came home with $9.50. She spent $5.25 on earrings and 3 times that amount on a shirt. How muc
ki77a [65]

Answer:

She took $30.50 to the mall originally

Step-by-step explanation:

Let us solve the problem step by step

∵ She spent $5.25 on earrings

∵ The price of the shirt is 3 times the price of the earrings

∴ The price of the shirt = 3 × 5.25 = 15.75

∴ She spent $15.75 on the shirt

Find her total spending in the mall by adding the prices of earrings and the shirt

∴ She spent = 5.25 + 15.75 = 21

∴ She spent $21 on the mall

∵ She came home with $9.50

∵ She spent $21 on the mall

- Add them to find her original amount of money

∴ She took = 21 + 9.50 = 30.50

∴ She took $30.50 to the mall originally

5 0
3 years ago
Is this the correct answer?
Llana [10]

Answer: Choice A) An economic theory that is shared by the discipline of Psychology

Through the research I've found so far, the articles mention that economic choices have a psychological link. This is because economics is basically the study of human psychology (more or less) in terms of how to allocate resources and how best to use them. The law of diminishing marginal utility is basically the idea where the concept "more is always better" is simply not true. An example would be that you are at a restaurant and there's an endless buffet. The food isn't infinite and neither is the capacity of your stomach. After a certain point, you'll find that eating another burger isn't as satisfying as eating the first few burgers. You can think of it as a graph where the curve may start with a sharp increase, but eventually it levels off.

Side note: The term "affective habituation" may be used in psychology textbooks as something very similar to the law of diminishing marginal utility.

4 0
3 years ago
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