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3 years ago

11

A 72.9-foot rope from the top of a circus tent pole is anchored to the ground 44.9 feet from the bottom of the pole. What angle

does the rope make with the pole? (Assume the pole is perpendicular to the ground. Round your answer to one decimal place.)

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

See the attachment.

It is in the attachment (photo)

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HELP PLEASE..........

serg [7]

Answer:

19.47

Step-by-step explanation:

Use the law of sines.

sin(90)/6 = sin(x)/2

Multiply both sides by 2

2 * sin(90)/6 = sin(x)

Use a calculator

0.33333 = sin(x)

sin^-1 0.3333 = 19.47

5 0

2 years ago

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

3 0

3 years ago

Seven students chose integers: -16, 12, -13, -6, 5, 6 and 1 Order the numbers from least to greatest. When all numbers are order

Lorico [155]

Answer:-16<-13<-6<1<5<6<12

1

-16

12

Step-by-step explanation:

8 0

3 years ago

BRAINLIEST FOR THE FIGHT ANSWER!!!

Gemiola [76]

= .91(.85)(.82) = .63427
<span>or 63.427% of the original price

so your answer is B</span>

3 0

3 years ago

Jerry bought toy trains at the store. He gave 15 away and had 9 left. Which of the following shows how

Paladinen [302]

The answer of this question is<u> 24 toy trains.</u>

<u>Step-by-step explanation:</u>

Given,

Jerry gave away 15 trains .

Jerry left with 9 trains .

Jerry total brought toy trains = given away toy trains + left with toy trains

Total toy trains = 15 + 9

Total toy trains = 24

<u>Jerry brought a total of 24 toy trains.</u>

7 0

3 years ago