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Marizza181 [45]
3 years ago
6

A line in standard (x,y) coordinate plane passes through the points (7.5 ,-4.25) and (12.5,-6) find the slope of the line

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

Step-by-step explanation:

Rise over run. Difference in y values is rise. 4.25 -6 is -1.75. Run s difference in x values. 12.5 -7 is 5. Divide -1.75/5 to get -0.35 As a faction thats -7/20

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Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de
attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: \frac{x}{12\pi } = \frac{130}{360}

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) \frac{arclength}{2\pi.r } = \frac{mAB}{360}, where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = \frac{mAB.2.\pi.r }{360}

arc length = \frac{90.2.3.14.6}{360}

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

\frac{x}{2.6.\pi } = \frac{130}{360}

\frac{x}{12\pi } = \frac{130}{360}

c) Resolving (b):

x = \frac{130.12.3.14}{360}

x = 13.6

The arc length for the image is 13.6 inches.

6 0
3 years ago
Seven blue and four red balls are to be arranged in order. How many ways can this be done if (1) The blue balls are distinguisha
Sav [38]

Answer:

1) n = 39916800

2) n = 1663200

3) n = 330

Step-by-step explanation:

1) If the blue balls are distinguishable as are the red balls

Then you can arrange these balls in the following ways, we must use a permutation

In totally we have 11 balls, then

n = 11P11

n = \frac{11!}{(11-11)!} = 11! = 39916800\\  

2) If Blue balls are distinguishable, but the red balls are identical

In this case, we need to do a correction due to the red balls are identical and we cannot identify the difference when we interchange two red balls

n = \frac{11!}{4!}  = \frac{39916800}{24} = 1663200

3) If the balls of each color are indistinguishable

We proceed equal to the before case but we include a correction due to blue balls also

n = \frac{11!}{4!*7!} = \frac{39916800}{24*5040} = 330

7 0
2 years ago
What percent of $200 is $40?
forsale [732]
To find the answer to the question we do the equation 40/200*100

Which gets us our answer of 20%
4 0
3 years ago
Read 2 more answers
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