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katen-ka-za [31]
4 years ago
12

What is the sum of the arithmetic series below?

Mathematics
1 answer:
Nesterboy [21]4 years ago
8 0

Answer:

Option A, 0

Step-by-step explanation:

-105 +-100 + -95 + -90 +-85 + ... + -5 + 0 + 5+ ... + 85+ 90 +95 + 100 + 105

The answer is 0 because there is the same amount of negative numbers as there is positive.  Therefore, the answer is Option A, 0

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Answer:

13x+2+5x-7+3x-4=180

13x+5x+3x=180-2+7+4

21x/21=189/21

X=9

Please put the degrees sign there

Step-by-step explanation:

5 0
3 years ago
A survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football pla
Elena-2011 [213]

Answer:

0.66

Step-by-step explanation:

Given that a  survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 55% are basketball players, and 13% of the athletes play both football and basketball.

Probability for a randomly chosen person is either a football player or a basketball player

=Prob for football player + Prob for basketball player -Prob for both

= 24%+55%-13%\\=66%

i.e. Probability reqd  =0.66

7 0
3 years ago
Your company prepares and distributes frozen foods. The package claims a net weight of 24.5 ounces. A random sample of today’s p
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4 0
4 years ago
In the figure shown, which pair of angles must be supplementary
lana [24]

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4 0
3 years ago
Find the area of the
e-lub [12.9K]

Answer:

E) 613.9 m2

Step-by-step explanation:

sum of measures of interior angles of a polygon of n sides:

(n - 2)180

For a pentagon:

(5 - 2)180 = 3(180) = 540

measure of one interior angle of a regular pentagon:

540/5 = 108

Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.

The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.

For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.

tan A = opp/adj

tan 54 = 13/x

x = 13 m/tan 54 = 9.445 m

x is half of the side of the pentagon.

2x is the side of the pentagon.

2x = 2(9.445 m) = 18.89 m

The given 13 m segment is the apothem of the pentagon.

A = nsa/2

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A = (5)(18.89 m)(13 m)/2

A = 613.9 m^2

Answer: E) 613.9 m2

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3 years ago
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