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masya89 [10]
3 years ago
14

A central angle with a measure of 60 degrees is drawn in a circle with a circumference of 8π. What is the length of the intercep

ted arc in terms of pi?
Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
8 PI circumference
60 degrees = circumference / 6
8*PI / 6 = 1.3333 PI
intercepted arc = 1.3333 PI

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A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist
AveGali [126]

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

7 0
3 years ago
It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will
Ber [7]
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
8 0
2 years ago
A butcher can cut through 390 pounds of beef a day and 48 pounds less of poultry. Find the absolute value of total beef and poul
shutvik [7]

Step-by-step explanation:

Clue: (I'm not giving the answer this is just clues) The word "absolute" helps you understand not to estimate so you want to get the RIGHT answer not the estimation.

6 0
2 years ago
The equation of line q is 5y - 4x = 10. Write the standard fom of the equation of the line that fits the following description:
kumpel [21]
<h3>Answer:  -4x+5y = 100</h3>

===================================================

Explanation:

The given equation is the same as -4x+5y = 10

It is of the form Ax+By = C, where A = -4, B = 5, C = 10

Anything parallel to Ax+By = C is of the form Ax+By = D. The only difference is the C has changed to a D.

This means anything parallel to -4x+5y = 10 is -4x+5y = D, where D is not equal to 10, but it could be any other number.

Plug in the coordinates of (-15,8) to find the value of D

-4x+5y = D

-4(-15)+5(8) = D

60+40 = D

100 = D

D = 100

We have -4x+5y = D update to -4x+5y = 100

The equation -4x+5y = 100 is parallel to -4x+5y = 10, and it goes through (-15,8)

Parallel lines have the same slope, but different y intercepts.

Note how Ax+By = C has a slope of m = -B/A. This means A cannot be zero.

7 0
2 years ago
Calculate the perimeter for the parallelogram if a= 7.6 , b= 5.9 and c= 14.6
kolezko [41]

Although the problem gives the value of b, it's really not needed.

Opposite sides of a parallelogram are congruent, so we just need to calculate: 2a + 2c = P

Plug the given values in:

2 * 7.6 + 2 * 14.6 = 44.4 units, or choice (C).

4 0
3 years ago
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