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3 years ago

Solve for . Round to the nearest tenth, if necessary.

Mathematics

1 answer:

Len [333]3 years ago

7 0

Answer:

x ≈ 8.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin75° = $\frac{opposite}{hypotenuse}$ = $\frac{RS}{QS}$ = $\frac{x}{9}$ ( multiply both sides by 9 )

9 × sin75° = x , then

x ≈ 8.7 ( to the nearest tenth )

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iren2701 [21]

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

We have Points A : (2,6) and B: (-3,-6)

So, $x_1=2, y_1=6, x_2=-3, y_2=-6$

Putting values in formula and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13$

So, the distance between points A and B is 13

6 0

3 years ago

An item costs $330 before tax, and the sales tax is $23.10 . find the sales tax rate. write your answer as a percentage.

ad-work [718]

Divide sales tax amount over the item's cost
23.1 / 330 = 0.07
Therefore the sales tax is 7%

3 0

3 years ago

How does the volume of a cylinder change when its diameter is tripled

cupoosta [38]

V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r

V(new cylinder)= πR²h = π(3r)²h=9πr²h

V(new cylinder)/V(cylinder)=9πr²h/πr²h=9

Volume new cylinder 9 times more the volume of old cylinder.

5 0

3 years ago

Read 2 more answers

-45=5y<br>I need the answer

slamgirl [31]

Answer:

-9 = y

Step-by-step explanation:

-45=5y

Divide each side by 5 to isolate y

-45/5=5y/5

-9 = y