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Brut [27]
2 years ago
14

Solve for x -8x + 10 = -22

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer: x= 32/7

    <u>x -8x + 10 = -22</u>

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Five times the sum of a number and seven is thirty. find the number.
ziro4ka [17]
First you have to write the equation...(x+7)5=30
then solve; so, x= -1
6 0
3 years ago
Trig Help please! 50 points!
IgorLugansk [536]

Answer:

C

Step-by-step explanation:

Remember the mnemonic: SohCahToa, where:

\sin(\theta)=\text{opposite}/\text{hypotenuse}\\\cos(\theta)=\text{adjacent}/\text{hypotenuse}\\\tan(\theta)=\text{opposite}/\text{adjacent}

Let's determine our side lengths first.

Note that our angle is A. So, we have to determine the sides with respect to A.

The opposite side to A is 16.

The adjacent side is 12.

And the hypotenuse is 20.

With this, we can find our trig ratios:

Sine:

\sin(A)=\text{opp}/\text{hyp}

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

\sin(A)=16/20

Reduce:

\sin(A)=4/5

Cosine:

\cos(A)=\text{adj}/\text{hyp}

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

\cos(A)=12/20

Reduce:

\cos(A)=3/5

Tangent:

\tan(A)=\text{opp}/\text{adj}

Substitute 16 for the opposite and 12 for the adjacent. This yields:

\tan(A)=16/12

Reduce:

\tan(A)=4/3

So, our answers are:

\frac{4}{5}, \frac{3}{5}, \text{ and } \frac{4}{3}

Out of the answer choices, the choice that represents this is C.

So, our correct answer is C.

And we're done!

4 0
3 years ago
Read 2 more answers
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
kow [346]

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24

Since we matched corresponding sides, we can now check whether they have the same ratio).

\frac{18}{14}=\frac{20}{15}=\frac{32}{24}

\frac{9}{7}=\frac{4}{3}=\frac{4}{3}

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

4 0
2 years ago
In one study, the number of women classified as supertasters was 2.25 times the number of men classified as supertaster. Suppose
torisob [31]

Answer: 32 men supertasters.

Step-by-step explanation:

From the question, we have been told that the number of women was 2.25 times the number of men. Therefore,

Number of women = 2.25m

Since there are 72 women, the number of men will be:

2.25m = 72

Men = 72 / 2.25

Men = 32

7 0
3 years ago
What is true of a geometric straight line? A) one-dimensional B) two-dimensional C) three-dimensional D) no dimensions, only pos
Lubov Fominskaja [6]
A. the answer is one dimension

5 0
4 years ago
Read 2 more answers
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