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3 years ago

PLEASE HELP DUE SOON! IM SO CONFUSED!!!

Mathematics

1 answer:

pochemuha3 years ago

8 0

The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement they are asking for us to determine the value of the unknown variable h. We are given one angle along with two sides.

Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown. We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).

<u>Trigonometric functions</u>

$sin(\theta) = \frac{opposite}{hypotenuse}$

$cos(\theta) = \frac{adjacent}{hypotenuse}$

$tan(\theta) = \frac{opposite}{adjacent}$

<u>Plug in the values</u>

$sin(\theta) = \frac{opposite}{hypotenuse}$

$sin(36) = \frac{h}{15.6\ cm}$

We know have an expression which contains everything that we need to determine the value of the unknown. To help isolate h we need to multiply both sides by 15.6 cm which will isolate h. After that we need to simplify the expression so we can get the value of h.

<u>Multiply both sides by 15.6 cm</u>

$sin(36) * 15.6\ cm = \frac{h}{15.6\ cm} * 15.6\ cm$

$sin(36) * 15.6\ cm = h$

<u>Simplify the expression</u>

$0.5878 * 15.6\ cm = h$

$9.169 = h$

After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm. We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.

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Complete the statements about these similar pyramids.

Goryan [66]

The ratio of the heights of the pyramid given at the end of the answer is of: 1:3.

The ratio of the surface areas of the pyramid given at the end of the answer is of: 1:9.

The ratio of the volumes of the pyramid given at the end of the answer is of: 1:27.

<h3>How to obtain the ratios?</h3>

The first step in obtaining the ratios is finding the ratio of the heights, which is given as follows:

5:15 = 1:3.

The heights are measured in units, while the surface area is measured in units squared, hence the ratio is squared, as follows:

(1:3)² = 1:9.

The volume is measured in cubic units, hence the ratio is cubed, as follows:

(1:3)³ = 1:27.

<h3>Missing Information</h3>

The pyramid is given at the end of the answer.

For different dimensions, the procedure of taking the ratio of the heights, then the surface area is squared and the volume is cubed remains.

More can be learned about ratios of area and volume at brainly.com/question/15990299

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5 0

1 year ago

Simplify:

Kryger [21]

Answer: 32.5a + 20.47b

Step-by-step explanation:

4 0

3 years ago

Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

blondinia [14]

I hope this helps you

6 0

4 years ago

Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a

mel-nik [20]

Answer:

Aaron needs <u>2 more rolls</u> to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using $\frac{3}{4}$ of a roll = $\frac{1}{8}$

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for $\frac{1}{8}$ of a path = $\frac{3}{4}$

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

$=\frac{3}{4}\div \frac{1}{8}$

$=\frac{3}{4}\times \frac{8}{1}$

$=\frac{3\times 8}{4\times 1}$

$=\frac{24}{4}$

$=6\ rolls$

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

5 0

3 years ago

Hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah<br>tolong bantuannya kakak kakak<br>

NeTakaya

Answer:

Step-by-step explanation:

Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4

According to indices;

$a^{m/n} = (\sqrt[n]{a}) ^m$

Applying this to the question

$64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32$

Similarly

$27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\$

Also;

$81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27$

Substitute inti the original equation

64^5/6 + 27^2/3 - 81^3/4

= 32 + 9- 27

= 41 - 27

= 14

Hence the required answer is 14

6 0

3 years ago