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Mrac [35]
3 years ago
15

Which of the following is a correct equation based on the triangle shown?

Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

Correct choice is B

Step-by-step explanation:

Unknown leg x in right triangle is opposite to the angle of the measure of 50°. Use the definition of the sine of the angle:

\sin \alpha=\dfrac{\text{opposite leg}}{\text{hypotenuse}}.

Hence,

\sin 50^{\circ}=\dfrac{x}{12}\Rightarrow 0.766=\dfrac{x}{12}.

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Emerson has an associate degree. Based on the bar chart below, how will his employment opportunities change from 2008-2018?
ANEK [815]

Answer:

19% change

Step-by-step explanation:

Since, Emerson has an associate degree,

His employment is 19% changed in 10 years, i.e. from 2008 to 2018.

Because the bar graph shown the percentage of change in employment from 2008 to 2018.

Also, Employment of associate degree is most affected in 10 years.

And those who have job training and work experience is least affected in these 10 years.

5 0
3 years ago
8×(30+2)=(8×_)+(8×2)
irinina [24]
Using the distributive property, a(b+ c) = ab + ac. In this case, b is 30, so the blank is 30.
6 0
3 years ago
Read 2 more answers
What is 0.54 converted to a simplified fraction?
nadya68 [22]
0.54=0.54/1=5.4/10=54/100=27/50
4 0
3 years ago
Evaluate the expression -7 1/4x + 3 5/8 for x= -4
Misha Larkins [42]

Answer:

32 5/8 (or 32 and 5/8)

Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

-29/4(-4) + 3 5/8.

Repeat the last step to turn the other mixed number into an improper fraction.

-29/4(-4) + 29/8.

Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)

(-29/4 * -4/1) + 29/8.

29 + 29/8.

Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

<u>29</u> x <u>8</u> = <u>232</u>

1   x 8 =   8

Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

4 0
2 years ago
Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black
horsena [70]

Answer:

0.20 or 20%

Step-by-step explanation:

Brown shoes = 3

Black shoes = 2

Total shoes = 5

Brown pants = 1

Black shoes = 3

Total pants = 4

Brown socks =4

Black socks = 6

Red socks = 2

Total socks = 12

In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.

P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20

The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.

5 0
3 years ago
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