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TEA [102]
3 years ago
12

Stephen earned scores of 88 points, 94 points, 89 points, and 85 points on four tests. What is the lowest score he can get on th

e fifth test and still finish with an average score of 90 points?
Mathematics
1 answer:
OLga [1]3 years ago
5 0
The lowest test score that Stephen can get in order to still average a score of 90 is 94. The answer is 94.
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Step-by-step explanation:

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3 years ago
Calculate the length b to two decimal places.
Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:        

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta

Upon substituting our given values in the formula we will get,

(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)  

(AC)^{2}=225+144-360\text{ cos}(106)      

(AC)^{2}=369-360(-0.275637355817)      

(AC)^{2}=369+99.22944809412    

(AC)^{2}=468.22944809412

Upon taking square root of both sides of our equation we will be get,

AC=\sqrt{468.22944809412}

AC=21.6386101238993629\approx 21.64  

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0
3 years ago
After a storm damage is the community center sent Kiya and her friends hold fundraising events to help pay for repairs after the
andrew-mc [135]

Answer: the total amount of money that they wanted to raise is $2400

Step-by-step explanation:

Let x represent the total amount of money that Keelan and her friends want to raise.

After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as

10/100 × x = 0.1 × x = 0.1x

Therefore,

0.1x = 240

Dividing both sides of the equation by 0.1, it becomes

x = 240/0.1

x = $2400

7 0
3 years ago
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