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3 years ago

Which of the following is true about the expression 3 Squared times 12 squared

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

Answer:

Step-by-step explanation:

the expression would look like this: 3^2 x 12^2

3 squared is 9 (3 x 3)

12 squared is 144 (12 x 12)

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The directions on a seed packet say to plant the seeds 178 inches apart. What is the decimal equivalent of this mixed number?

Flauer [41]

Answer:

1.875 inches apart

Step-by-step explanation:

I think you meant "1 7/8 inches."

Convert 7/8 to a decimal fraction. Divide 7 by 8 on a calculator; you will get 0.875. Then: 1 7/8 inches = 1.875 inches.

Plant the seeds 1.875 inches apart.

6 0

3 years ago

Question is 15 points

mihalych1998 [28]

This is a doozy so pay attention. First thing you have to recognize is that is a trig identity, the sum identity for cosine to be exact. That formula is

$cos(\alpha +\beta )=cos\alpha cos\beta -sin\alpha sin\beta$ .

So that means you need to find the cosine of alpha and the sin of beta. We are given the sin of alpha being 4/5 in the first quadrant. If you set up the sin ratio which is side opposite over hypotenuse of a right triangle, you put the 4 on the side opposite the reference angle, alpha, and the hypotenuse of 5 on the terminal ray and then you have to find the missing side of the right triangle you created. Using Pythagorean's theorem, you find that the missing side, which is the adjacent side to alpha, is 3. Now you can find the cosine of alpha as well, since cosine is the side adjacent, 3, over the hypotenuse, 5. So far wwe have

$sin\alpha =\frac{4}{5}$ and

$cos\alpha =\frac{3}{5}$ for that first angle. Now moving on to the second angle. The cosine of beta is side adjacent, 5, over the hypotenuse, 13, and we are missing the side opposite the reference angle beta. Using Pythagorean's theorem again to find the side opposite, we have that that side measures 12. Now we can find the sine of beta using that opposite side, 12, over the hypotenuse, 13. What we have now is

$cos\beta =\frac{5}{13}$ and

$sin\beta =\frac{12}{13}$ . According to the identity, we have to multiply those ratios now:

$(\frac{3}{5}*\frac{5}{13})-(\frac{4}{5}*\frac{12}{13})$ .

When you do that you get

$\frac{3}{13}-\frac{48}{65}$ .

Of course in order to subtract those 2 fractions you need a common denominator which is 65 so

$\frac{15}{65}-\frac{48}{65}$ which gives you a final answer of $-\frac{33}{65}$ which is the first choice given above. There you go!

4 0

3 years ago

Work out the volume for this prism

melisa1 [442]

<h3>given:</h3>

$area = 24 \: {cm}^{2}$

$height = 8 \: cm$

the volume of the given prism.

<h3>solution:</h3>

$v = area \: of \: cross \: section \times height$

$v = 24 \times 8$

$v = 192 \: {cm}^{3}$

hence, the volume of the prism is 192 cubic centimeters.

4 0

2 years ago

After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes

Delvig [45]

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the old price of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

5 0

2 years ago

Which data is considered a out liner 40,35, 44,90,23,25,28,35

lana66690 [7]

90 is the outlier
for future reference, outliers are numbers much larger or much smaller than the other numbers in a set
for example
2,3,4,21,6
or 90,87,94,12,99

7 0

3 years ago