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3 years ago

Write and solve the proportion.

Mathematics

2 answers:

mart [117]3 years ago

6 0

Answer:

5 gallons of gas cost about $15.42

Nonamiya [84]3 years ago

5 0

Answer: I believe it would be 15.42

Step-by-step explanation:

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List the first five multiples of 30

alisha [4.7K]

I guess this will help you

Step-by-step explanation:

30 , 60 , 90 , 120, 150

,LCM of 12 and 30 is 60

6 0

3 years ago

Read 2 more answers

Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

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3 years ago

Which of these conditions might be true if polygons ABCD and KLMN are similar?

White raven [17]

Answer:

Option A.

Step-by-step explanation:

Properties of the similarity of two polygons,

1). All angles of one polygon will be equal to the angles of the other polygon.

2). Their corresponding sides will be in the same ratio.

If the measures of corresponding angles of KLMN and ABCD are equal, but the lengths of the corresponding sides of ABCD are half those of KLMN,

Then the polygons ABCD and KLMN will be similar.

Option A will be the answer.

8 0

3 years ago

On a number line, 7.7 would be located. Choose all answers that make a

PolarNik [594]

Answer:

The Correct Answer are B and D

Step-by-step explanation:

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3 years ago

Read 2 more answers

-1/2+-5/6 thank you

aleksandrvk [35]

Answer:

-1 1/3 hope this helps

Step-by-step explanation:

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3 years ago