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KatRina [158]
3 years ago
9

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

Mathematics
1 answer:
FinnZ [79.3K]3 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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Aleks [24]
-5+d/3=5

d/3-5=5

d-3.5/3=5

d-15/3=5

d-15=15

(d-15)+15=15+15

d-15+15=30

d=30
Hope this helps kiddo

8 0
3 years ago
How do you graph y=-3x+2 and -3x-y=-2 (change into slope intercept form first) then check your answer. The picture is how the fo
Leni [432]
Y=-3x+2:
Already in slope intercept form
Graph by plotting a point on (0,2)
Then move 3 points up and 1 to the right and plot the point and keep doing that a couple times

-3x-y=-2:
Add -3x on both sides
The result would be
-y=3x-2
Divide everything by negative 1
Y=-3x+2

Both equations are the same so they are the same line
8 0
3 years ago
Read 2 more answers
For every 15 minutes of a show, there are two minutes to commercial. At this rate, if leila has seen 45 minutes of a show, how m
Ainat [17]

Answer:

51 minutes.

Step-by-step explanation:

We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.

We will use proportions to solve our given problem.

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{15+2}{15}

\frac{\text{Minutes of TV show + Advertisement}}{\text{Minutes of TV show}}=\frac{17}{15}  

Upon substituting our given values, we will get:

\frac{\text{Minutes of TV show + Advertisement}}{45}=\frac{17}{15}

\frac{\text{Minutes of TV show + Advertisement}}{45}\times 45=\frac{17}{15}\times 45

\text{Minutes of TV show + Advertisement}=\frac{17}{1}\times 3

\text{Minutes of TV show + Advertisement}=51

Therefore, Leila has been watching TV together for 51 minutes.

8 0
3 years ago
Which shows a set of figures that always possesses all these attributes?
Scilla [17]

Answer:

C

Step-by-step explanation:

Four right angles eliminates trapezoids.

Four right angles also eliminates any triangle

General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.

The answer is rectangles and squares.

5 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
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