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umka21 [38]
3 years ago
9

The measure of an angle is 5 times as great as the measure of it's complement. Find the measure of the angle

Mathematics
2 answers:
Ber [7]3 years ago
7 0

complementary angles = 90 degrees

5x +x = 90

6x = 90

x = 90/6 = 15

x = 15 degrees

 so 5(15) = 75 degrees

horrorfan [7]3 years ago
4 0
15 is the mesure of the angle
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Four times one number minus three times another number is 12. Two times the first number added to three times to the second numb
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

x = first number, y = second number

4x - 3y = 12

2x + 3y = 6

------------------add

6x = 18

x = 18/6

x = 3

4x - 3y = 12

4(3) - 3y = 12

12 - 3y = 12

-3y = 12 - 12

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solution : (3,0)

4 0
3 years ago
Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs ofy=x, y=10, and
Pepsi [2]

Answer:

C) 2094.40

nearest answer.

Step-by-step explanation:

Since the given region is bounded by y = x, y = 10 and x = 0

⇒ 0 ≤ y ≤ 10

Radius and Height are 'y'

∴ The required volume

= ∫₀¹⁰2π(radius)(height)dy

= ∫₀¹⁰2π (y) (y) dy

= ∫₀¹⁰2π y² dy

= 2π ∫₀¹⁰ y² dy

Integrate y

= 2\pi [\frac{y^3}{3}]_0^{10}

= 2\pi [\frac{10^3}{3} - 0]

= \frac{2000}{3} \pi

where π is 3.142

= 2,094.66

5 0
3 years ago
What is the answer to 35-x=21;x=16​
SVEN [57.7K]

Answer:

x=14

Step-by-step explanation:

The way to solve it would be to subtract 35 from both sides, canceling out 35 and giving us our answer:

x=14

Hope this helps!

Brainliest please!

4 0
3 years ago
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
andrey2020 [161]
For the manager's grocery store, the average mean to the nearest cent is 37.6 while the competitor's store has an average of 48.53. However, the store that has a mean that better represents its data is the first store, the manager's store, because the values are more close to the mean as compared to the other store which has extreme values far from the mean or scattered from the mean.
6 0
3 years ago
a candy machine holds 500 pieces of candy, 20%, percent of which are blue. customers get an srs of 4 pieces of candy per purchas
Greeley [361]

Answer:

p(b = 1) = 0.4096 = 40.96%

Step-by-step explanation:

For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

20% are blue

This means that p = 0.2

Sample of 4

This means that n = 4.

Which of the following would find p(b=1)?

P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096

So, p(b = 1) = 0.4096 = 40.96%

6 0
3 years ago
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