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gtnhenbr [62]
3 years ago
5

The area in the trapezoid in square units 10 inches, 8 inches, 12 inches.

Mathematics
2 answers:
polet [3.4K]3 years ago
4 0

Answer:

100 sq inches

Step-by-step explanation:

Simply use the formula for finding the area:

\frac{1}{2} * (sum of parallel sides) * height\\=  \frac{1}{2} * (8 + 12) * 10\\= \frac{1}{2} * 20 * 10\\= 100 sq. inches

lutik1710 [3]3 years ago
3 0

Answer: 100

Step-by-step explanation:

The formula for the area of a trapezoid is (B1+B2)/2*h

so substitute:

(8+12)/2*10

20/2*10

10*10

100

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You would have 20 quarters to make 5 dollars
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3 years ago
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A toy company spends $20 for every doll it makes. Promotion of the dolls costs $400 and the company sells each doll for $30. How
marissa [1.9K]

Since the company spends 20$ on each doll and sells each for 30$ thats a 10$ profit.

If the company spends 400$ on promotion it would take 40 dolls since

400$ / 10$(amount of profit per doll) = 40

so to make the promotion back it would be 40 dolls but the question was to make PROFIT so it must be 41 dolls

6 0
4 years ago
Read 2 more answers
Look at the right-angled triangle ABC.
Nikolay [14]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

3 0
3 years ago
A box of cookies contains 4 chocolate and 6 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selec
laila [671]

Answer:

The probability of the flavor of the second cookie is always going to be dependent on the first one eaten.

Step-by-step explanation:

Since the number of the type of cookies left depends on the first cookie taken out.

This is better explained with an example:

  1. Probability Miguel eats a chocolate cookie is 4/10. The probability he eats a chocolate or butter cookie after that is <u>3/9</u> and <u>6/9</u> respectively. This is because there are now only 3 chocolate cookies left and still 6 butter cookies left.
  2. In another case, Miguel gets a butter cookie on the first try with the probability of 6/10. The cookies left are now 4 chocolate and 5 butter cookies. The probability of the next cookie being chocolate or butter is now <u>4/9</u> and <u>5/9</u> respectively.

The two scenarios give us different probabilities for the second cookie. This means that the probability of the second cookie depends on the first cookie eaten.

7 0
3 years ago
Collin Buys a TV for £720 depreciate at a rate of 4% per year how much will it be worth in three years
belka [17]

Answer:

The worth of the TV after 3 years is £809.90208

Step-by-step explanation:

The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine

The given parameters of the TV are;

The amount at which Collin buys the TV, P = £720

The rate at which the TV depreciates at, R = 4%

The number of years the depreciation is applied, T = 3 years

The amount the TV is worth after three years, 'A', is given as follows;

A = P \cdot \left(1 + \dfrac{R}{100} \right )^T

By plugging in the known values, we have;

A = 720 \cdot \left(1 + \dfrac{4}{100} \right )^3 = 809.90208

The amount the TV is worth after three years, A = £809.90208

8 0
3 years ago
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