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faust18 [17]
2 years ago
10

In △WXY , WX=14.1 inches, WY=7.8 inches, and m∠W=52∘ .

Mathematics
1 answer:
Ghella [55]2 years ago
8 0

Answer:

  43.3 square inches

Step-by-step explanation:

Given two sides <em>a</em> and <em>b</em> and the angle α between them, the area of the triangle can be computed as ...

  A = (1/2)ab·sin(α)

Putting the given values into the formula gives ...

  A = (1/2)(14.1 in)(7.8 in)sin(52°) ≈ 43.3 in²

The area of the triangle is about 43.3 square inches.

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Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?
Brilliant_brown [7]
I would use multiplication and addition.
 3 x 64 = 192
3 x 48 =  144
192 + 144 = 336 total ounces of juice.

7 0
1 year ago
Read 2 more answers
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a
valkas [14]

Answer:

x^3+3x^2+5x+2

Step-by-step explanation:

The product of a binomial and a trinomial is

x^3+3x^2-x+2 \times 2 +6x-2

we have to simplify that

x^3+3x^2-x+4+6x-2

bringing the like terms together we get

x^3+3x^2-x+6x+4-2

-x+6x = 5x

-2+4 = 2

hence our expression becomes

x^3+3x^2-x+6x+4-2=x^3+3x^2+5x+2

5 0
2 years ago
Read 2 more answers
Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so
olga_2 [115]
Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75%  / 2 = 13.375% per year.
5 0
2 years ago
Read 2 more answers
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, hi
shtirl [24]

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

3 0
2 years ago
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