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sineoko [7]
3 years ago
12

Solve Triangle DEF. - Math

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

p = 52.942259755149776

Step-by-step explanation:

This is basic trigonometry.

\cos(39)  =  \frac{e}{22}

e =  \cos(39)  \times 22

\sin(39)  =  \frac{d}{22}

d =  \sin(39)  \times 22

And finally perimeter (p):

p = 22 +  e+ d

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G(n) = n² + 2; Find g(3)​
AlladinOne [14]

Answer:

<h2><em><u>11 is the answer</u></em></h2>

Step-by-step explanation:

<em><u>1. Write the question.</u></em>

g(n) = n² + 2; Find g(3)​

<em><u>2. Find and input the numbers into the equation</u></em>

g(3) =  3² + 2

3² = 9

<em><u>3. Solve the equation</u></em>

g(3) = 3² + 2

= 9 + 2

= 11

<em><u>The answer is 11.</u></em>

Hope this helped,

Kavitha Banarjee

6 0
3 years ago
Read 2 more answers
Find m<br> (-3x + 20)<br> (-2x + 55)
Sergeeva-Olga [200]

Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21

Step-by-step explanation:

Simplifying

(-3x + 20) + (-2x + 55) = 180

Reorder the terms:

(20 + -3x) + (-2x + 55) = 180

Remove parenthesis around (20 + -3x)

20 + -3x + (-2x + 55) = 180

Reorder the terms:

20 + -3x + (55 + -2x) = 180

Remove parenthesis around (55 + -2x)

20 + -3x + 55 + -2x = 180

Reorder the terms:

20 + 55 + -3x + -2x = 180

Combine like terms: 20 + 55 = 75

75 + -3x + -2x = 180

Combine like terms: -3x + -2x = -5x

75 + -5x = 180

Solving

75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

75 + -75 + -5x = 180 + -75

Combine like terms: 75 + -75 = 0

0 + -5x = 180 + -75

-5x = 180 + -75

Combine like terms: 180 + -75 = 105

-5x = 105

Divide each side by '-5'.

x = -21

Simplifying

x = -21

6 0
3 years ago
g Determine if the following probability experiments represents a binomial experiment. Explain your answer as to why or why not.
Klio2033 [76]

Answer:

a) It is a binomial experiment

b) It is not a binomial experiment, since we do not have a value of n.

Step-by-step explanation:

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

So:

a) A poll of 1200 registered voters is conducted in which the respondents are asked whether they believe Congress should reform Social Security.

For each voter, there are only two outcomes. Either they believe the Congress should reform Social Security, or they do not believe.

There are 1200 voters, so n = 1200.

Each voter has a probability of voting yes and a probability of voting no. So yes, it is a binomial experiment.

b) A baseball player who reaches base safely 30% of the time is allowed to bat until he reaches base safely for the third time. The number of at-bats required is recorded.

Here, there is no fixed number of at bats, so there is no value of n. So this is not a binomal experiment.

7 0
3 years ago
Box A has a volume of 24 cubic meters. Box B is similar to Box A. To create Box B, Box A's dimensions were multiplied by 4. What
Paraphin [41]

Answer: 1536\ m^3

Step-by-step explanation:

Given

Box A has a volume of 24\ m^3

Box B is similar to box A such that box A dimension is multiplied by 4 to get the box B

So, each length is 4 times the box A and volume is the cube of the side.

Thus, the volume of box B is 4\times 4\times 4 the volume of box A

The volume of box B is  

=4\times 4\times 4\times 24\\=1536\ m^3

4 0
3 years ago
If the sum of the interior angles is 3060 what is the number of angles
omeli [17]
3060/180 + 2 = 19
_____
6 0
4 years ago
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