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Juli2301 [7.4K]
3 years ago
6

Each side of a equilateral triangle measures 9cm. Find the height, h, of the triangle. ...Please show work :] thanks

Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Break it up into 2 triangles. base is 4.5, hypotenuse is 9
4.5^2+b^2=8120.25+b^2=81b^2=60.75
h=7.794228634059948
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Two candidates are randomly selected. a. List all the possible outcomes. b. What is the probability that both are qualified? c.
steposvetlana [31]

Question:

Four candidates are to be interviewed for a job. Two of them, numbered 1 and 2, are qualified, and the other two, numbered 3 and 4, are not.

Answer:

a. S = {12,13,14,23,24,34}

b. 1/6

c. ⅔

Step-by-step explanation:

Let S = Sample Space i.e. total possible outcomes

Given that candidates 1 and 2 are qualified and 3 and 4 are not qualified.

If two candidates are randomly selected. The list of all possible outcomes is as follows

S:{12,13,14,23,24,34}

And the number of outcomes is 6

b. What is the probability that both are qualified?

The event that both are qualified is given as {12} or {21}

From the sample space in (a) above, there's only one occurrence of {12} = 1

So, the probability is calculated as 1/6

c. What is the probability that exactly one is qualified?

The event that one one is qualified is given as {13,14,23,24}

Total = 4

Probability = 4/6

Probability = ⅔

5 0
3 years ago
When two chords intersect "inside" a circle, what two sets of<br> angles are formed.
Nookie1986 [14]

Answer:

Two sets of vertical angles are formed.

3 0
3 years ago
Miss stephens is buying pencils for all of her students,she already has 7 pencils,and needs a total of 59. If they come in packs
svp [43]

Answer:

4

Step-by-step explanation:

13 x 4 = 52 + 7 = 59

4 0
2 years ago
Larquita is writing a book for her job, where she works the same number
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3 0
3 years ago
1. You owe $2,348.62 on a credit card with an 8.75% APR. You pay $300.00 toward the card at the beginning of the month and anoth
satela [25.4K]
Part 1:

After payment of $300, remaining balance = $2,348.62 - $300 = $2,048.62.
Interest accrued is given by:

I=Prt \\  \\ =2,048.62\times0.0875\times \frac{1}{12}  \\  \\ =\$14.94

Had it been $600 was paid, remaining balance = $2,348.62 - $600 = $1748.62. Interest accrued is given by:

I=1,748.62\times0.0875\times \frac{1}{12}  \\  \\ =$12.75

Difference in interest accrued = $14.94 - $12.75 = $2.19


Part 2:

The present value of an annuity is given by:

PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}}  \\  \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\  \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\  \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\  \\ \Rightarrow-12n\log1.007292=\log0.971458 \\  \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\  \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130

Therefore, the number of months it will take to pay of the debt is 3.99 months which is approximately 4 months.
6 0
3 years ago
Read 2 more answers
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