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Mama L [17]
3 years ago
10

Homework help

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0
1.) 20 miles for his round trip each day
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OC and OR are similar. Find the length of QP.
Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is s = \frac{22 \pi}{9}

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and \theta is

arclength = 2\pi r \frac{\theta}{360}

where,

s be the length of the arc

r be the radius

\theta be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}

or, 2r \frac{\theta}{360} = \frac{22}{9} [ eliminating \theta from both side]

or, \theta = \frac{(22)(360)}{(9)(2)(4)}

or, \theta = 110^\circ

Again,

For circle R

Taking, r = 6 and \theta = 110^\circ we get,

The length of arc QP is

arc length = 2\pi (6)(\frac{110}{360} )

or, arclength = \frac{11 \pi}{3}

Hence,

The length of QP is \frac{11 \pi}{3}. Option C.

5 0
3 years ago
Find f(6) if f(x)=x^2 divided by 3x+x
Alinara [238K]
So, if I'm understanding you correctly, f(x)=x^2 divided by 3x+x, or
f(x) = (x^2)/(3x+x)
f(6) --> plug the 6 in to all values of x --> f(6) = (6^2)/(3×6 + 6) = 36/(18+6)
= 36/24 --> both are divisible by 12, so 36/12=3 and 24/12=2, now we have the reduced (simplified) answer:
f(6) = 3/2, or 1 1/2, or 1.5
3 0
3 years ago
A driveway is in the shape of a rectangle 20 feet wide by 25 feet long.
ANTONII [103]
A= 20x25 so the area is 500
To find the perimeter you have to add both the width and length x2 so it’s 20+25 =45
45x2=90
7 0
2 years ago
The value pi/24 is a solution for the equation 4 cos^4 (4x)-3
MatroZZZ [7]

Answer:

False

Step-by-step explanation:

4 cos^4 (4x)-3 = 0

Substitute into the equation

4 cos^4 (4pi/24)-3 = 0

4 cos^4 (pi/6)-3 = 0

Take the cos pi/6

4 ( sqrt(3)/2) ^4 -3 =0

Take it to the 4th power

4 ( 9/16) -3 =0

9/4 -3 =0

9/4 - 12/4 = 0

-3/4 =0

False

8 0
3 years ago
What is the diameter of a circle with an area of 1,808.64 square meters, rounded to the nearest meter?
lubasha [3.4K]

Answer:

Diameter = 47.99

Step-by-step explanation:

5 0
3 years ago
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