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2 years ago

In the pully system shown in this figure, MQ = 10 in, NP = 3in and QP=24in. Find MN

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

3 0

Answer:

The correct option is a. The length of MN is 25.

Step-by-step explanation:

Given information: MQ = 10 in, NP = 3 in and QP=24 in.

If the centers of two circles of radius r₁ and r₂ are d units apart, then the length of the direct common tangent between them is

$l=\sqrt{d^2-(r_1-r_2)^2}$

$24=\sqrt{d^2-(10-3)^2}$

Square both sides.

$576=d^2-49$

$625=d^2$

Take square root both sides.

$25=d$

Therefore length of MN is 25 and option a is correct.

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When calculating for volume, you use the area of the 2D shape. True or false.

Nana76 [90]

Answer:

I think true.

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

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3 years ago

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An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below that are true. Number of

kondaur [170]

A graph is a way to represent a lot of data in such a visual format. The correct statements are A, B, and D.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

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B.) The smallest number of TVs sold was on Monday.

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hence, the correct statements are A, B, and D.

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2 years ago

Tom ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books

BaLLatris [955]

Answer:

_b+_=_

6B+3=75

He ordered 12 books

Step-by-step explanation:

so each book (b) costs $6. he payed $75 total including the $3 shipping price

That gets us:

6b+3=75

6b=72

b=12

Therefore, Tom ordered 12 books

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3 years ago

A University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students. A s

Alla [95]

Answer:

The point estimate for this problem is 0.48.

Step-by-step explanation:

We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.

A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".

Let $\hat p$ = proportion of students who felt comfortable reporting cheating by their fellow students