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AnnyKZ [126]
3 years ago
12

The hypotenuse of a 30- 60- 90 triangle has length 17. what is the length of the side opposite the 60 angle? if necessary, round

your answer to two decimal places.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0
Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 = \sqrt{3}(side opposite 30) ⇒ 8.5 \sqrt{3} = 14.72 when rounded 2 decimal places
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At Best Buy they have a 60" TV that sells for $1250 and is on sale for 15% off. If the sales tax is 6.5%, what is the final cost
NNADVOKAT [17]

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

7 0
3 years ago
A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffe
QveST [7]

Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee

Data;

  • monthly salary = $3500
  • commission = $12
  • amount due for commission = $100
  • cost of coffee = $25
  • total amount = $3650

<h3>Word Problem</h3>

These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.

If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.

How many coffee case are inside $100

100/25=4

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.

If 4 coffee = $112

how many coffee will give us $3650

4coffee=$112\\x coffee = $3650\\x = \frac{4*3650}{112} \\x = 130.35

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.

Learn more on word problems here;

brainly.com/question/21405634

3 0
3 years ago
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The sum of the numbers as a product of their GCF is ? The numbers are18+48
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Answer:

Step-by-step explanation:

18=2×3×3

48=2×2×2×2×3

G.C.F.=2×3=6

18+48=66

6×11=66

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3 years ago
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alisha [4.7K]

Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0


And please include the instructions.


2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0


Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0


Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0


Then (x+(1/4))^2 = (1/4)^2


Taking the sqrt of both sides: x+1/4 = plus or minus 1/4


Solving for x: x = -1/4 plus or minus 1/4


Solving for x (continued): x = 0 and x = -1/2

3 0
3 years ago
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What is the square root of 36x^4?


√36x^4 =


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