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wariber [46]
4 years ago
11

Solve for y. - 3y + 2 = -10y + 30 Simplify your answer as much as possible.

Mathematics
1 answer:
Marizza181 [45]4 years ago
3 0

Answer: y = 4

Step by step explanation:

−3y + 2 = −10y + 30

Step 1: Add 10y to both sides.

−3y + 2 + 10y = −10y + 30 + 10y

7y + 2 = 30

Step 2: Subtract 2 from both sides.

7y + 2 − 2 = 30 − 2

7y = 28

Step 3: Divide both sides by 7.

7y/7  =  28/7

y = 4

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How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?<br> triangle(s)
Shalnov [3]

Using the law of sines, it is found that 1 triangle can be formed with the given conditions.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

  • The length of the side opposite to angle A is a.
  • The length of the side opposite to angle B is b.
  • The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

Hence, for this problem, we have that the relation is:

\frac{\sin{64^\circ}}{10} = \frac{\sin{G}}{9}

\sin{G} = 0.9\sin{64^\circ}

\sin{G} = 0.8089

G = \arcsin{0.8089}

G = 54º

A triangle can have one angle of 64º and another of 54º, hence 1 triangle can be formed with the given conditions.

More can be learned about the law of sines at brainly.com/question/25535771

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2 years ago
Which expression is equivalent to sin(0.6x) − sin(0.4y)?
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1.5 is the answer for the question <span />
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4 years ago
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In order to make statistical inferences when testing a population proportion p, which of the following conditions verify that in
sweet [91]

Answer:

a, b and c.

Step-by-step explanation:

The statistical inference may be defined as the process of using the data analysis to infer the properties of an underlying distribution for a probability.

In the context, for testing the population proportion p, the following conditions are used to verify the inference procedures so as to make the statistical inferences :

-- data that are collected by a random assignment or by a random sample.

-- sample size should be less than 10% of population size.

-- The $n \ p_0 \geq 10$ and the $n(1-p_0) \geq 10$ for the sample size $n$ as well as for the  hypothesis proportion, $p_0.$

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4 years ago
Analyze the diagram below and complete the instructions that follow.<br><br> Find m
Stells [14]

Answer:

D. 70.53

Step-by-step explanation:

To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:

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

In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.

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

Substitute,

cos(CBA) = \frac{3}{9}

Simplify

cos(CBA) = \frac{1}{3}

Inverse operations,

CBA=cos^-1(\frac{1}{3})

Compute,

m<CBA = 70.53

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Student finished eighth of homework problem in the class If the ratio of problem she finish to problem she still had left was 4.
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