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Rasek [7]
3 years ago
15

Use the diagram below to answer questions 1-3. 60 C b If a=5, then the value of b is 2.9 8.7 C 17.3 D 5.8 2. If C= 10. then the

exact value of b is B 5 с A 5.8 D 17.3 3. If b=7, then the value of a is 3.5 С 14 12.1 A B 4.04​

Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

1. A

2. B

3. D

Sort of explanation:

This is a 30° 60° 90° triangle, so the rules below apply:

x is the short leg of the triangle, located across from the 30° angle. (In this problem, the short leg is labled b)

The hypotenuse leg is across from the right angle, and is always 2x (In this problem, the hypotenuse leg is labled c)

The long leg of the triangle is located across the 60° angle and is always x√3. (in this problem, the long leg is labeled a)

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A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 red
Anastasy [175]
1.
If no changes are made, the school has a revenue of :

625*400$/student=250,000$

2.
Assume that the school decides to reduce n*20$.

This means that there will be an increase of 50n students.

Thus there are 625 + 50n students, each paying 400-20n dollars.

The revenue is: 

(625 + 50n)*(400-20n)=12.5(50+n)*20(20-n)=250(n+50)(20-n)

3.

check the options that we have, 

a fee of $380 means that n=1, thus 

250(n+50)(20-n)=250(1+50)(20-1)=242,250   ($)


a fee of $320 means that n=4, thus

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the other options cannot be considered since neither 400-275, nor 400-325 are multiples of 20.

Conclusion, neither of the possible choices should be applied, since they will reduce the revenue.
6 0
4 years ago
Someone please help me answer this
Brrunno [24]
B= 30
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30
8 0
3 years ago
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A 12-ft ladder is leaning on a building. If the base of the ladder is placed 5 feet from the building, approximately how high do
Citrus2011 [14]
A^2+b^2=c^2

5^2+b^2=12^2

25+b^2=144

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b^2=119

SQUARE ROOT BOTH SIDES:

b=10.9

The answer is c.
3 0
3 years ago
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The price of an item costs $13 to make. It is marked up $6.50 to sell. What is the percent marked-up
Whitepunk [10]

(1 + x) (13) = 13+6.5

13x + 13 = 19.5

13x = 6.5

x = 0.5

The item was marked up by 50%

4 0
3 years ago
a truck weighs 5,400 pounds. An open-wheel race car weighs 1/4 as much. how much does the race car weigh
gtnhenbr [62]
Since 1/4 is equal to 0.25 than you would do 5,400 times 0.25 and get the answer of 13,500.0. So the race car weighs 13,500 pounds.
3 0
3 years ago
Read 2 more answers
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