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Debora [2.8K]
3 years ago
9

Please show how you got the answer.​

Mathematics
2 answers:
drek231 [11]3 years ago
8 0
The first person that answered is correct
Lera25 [3.4K]3 years ago
7 0

Answer:

cosA = 8/17

Step-by-step explanation:

cos =  adjacent/hypotenuse

The number that is adjacent to angle A is 24 and the hypotenuse is 51

Plug the numbers into the cosine equation, which would look like:

Cos A = 24/51

You can simplify the fraction by dividing it by 3

So Cos A = 8/17 or 0.89130173...

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Find the surface area of the prism shown (Remember, rectangular prisms have a total of 6 sides)
gregori [183]

Answer:

The answer is 190mm2

Step-by-step explanation:

(3x5)x2  30

(3x10)x2  60

(5x10)x2  100

add them all up to get 190

6 0
2 years ago
Read 2 more answers
Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re
Jlenok [28]

Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\triangle p = 12\ million

p_1 =300\ million

China

\triangle p = 12\ million

p_1 =1\ billion

Required

Determine the relative change for each country

Relative change, C is calculated as:

C = \frac{\triangle p}{p} * 100\%

For United States

C = \frac{12\ million}{300\ million} * 100\%

C = \frac{12}{300} * 100\%

C = \frac{12 * 100}{300}\%

C = \frac{1200}{300}\%

C = 4\%

For China

C = \frac{12\ million}{1\ billion} * 100\%

C = \frac{12}{1000} * 100\%

C = \frac{12* 100}{1000} \%

C = \frac{1200}{1000} \%

C = 1.2\%

The relative change of the United States and China is 4% and 1.2%, respectively.

3 0
3 years ago
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $11
Law Incorporation [45]

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

8 0
3 years ago
HELP!!!ASAP!!!!DO IN 30 MIN!!! 7TH GRADE MATH
oksano4ka [1.4K]

Answer:

b

Step-by-step explanation:

big brain guess

5 0
3 years ago
On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot
poizon [28]
<h3>Answer: 0.47178  Step-by-step explanation: Find the probability for each p(X=x) up to 5 using the equation: (x-1)C(r-1)*p^r * q^x-r, where x is number of days, p = .3 (prob of rain). q=.7 (prob of not rain), and r=2 (second day of rain). also C means choose. So p(X=1) = 0 p(X=2) = 1C1 * .3^2 * .7^0 = .09 P(X=3) = 2C1 * .3^2 * .7^1 = .126 P(X=4) = 3C1 * .3^2 * .7^2 = .1323 P(X=5) = 4C1 * .3^2 * .7^3 = .12348 Then add all of them up 0+.09+.126+.1323+.12348 = .47178</h3>
3 0
3 years ago
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