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1 year ago

7

In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point

)

1 answer:

Verdich [7]1 year ago

5 0

Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

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Suppose that a person with a push mower can mow a large lawn in 5 hours, whereas the lawn can be mowed with a riding lawn mower

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Push Mower
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It takes 5 hours to complete the job
1 hour = 1/5 of the job

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Riding Lawn Mower
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It takes 3 hours to complete the job
1 hour = 1/3 of the job

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Push Mower + Riding Lawn Mower
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1 hour = 1/5 + 1/3
1 hour = 3/15 + 5/15
1 hour = 8/15 of the job.

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Calculate time needed to complete
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8/15 of the job takes 1 hour
8/15 of the job = 1 hour

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Divide by 8/15 on both side
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8/15 ÷ 8/15 of the job = 1 ÷ 8/15 hour
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Answer: 1 7/8 hours
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1 year ago

A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt

DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.

Answer: the height of the statue is 2.0565 ft.

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Answer: B. I got it correct on my assignment.

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1 year ago

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Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

</span> $V=\pi \int_{a}^{b}[f(x)]^{2}dx$
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Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

</span> $x^{2}+y^{2}=r^{2}$
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</span> $y= \sqrt{r^{2}-x^{2}}$ <span>

So,

</span> $f(x)=y=\sqrt{r^{2}-x^{2}}$ <span>

</span> $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$
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being -r and r the limits of this integral.

</span> $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$
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Finally:
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Let x be the original cost for the sofa.
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1 year ago