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kenny6666 [7]
3 years ago
5

Avery is enrolling in a university next semester. There are 14 meeting times for physics classes and 18 meeting times for art hi

story classes. 6 of the physics meeting times are in the evening and 4 of the meeting times for art history classes are in the evening. What is the probability that both of her classes meet in the evening?
A. 1/4
B. 3/16 C. 2/21 D. 1/24
Mathematics
1 answer:
nignag [31]3 years ago
6 0
The answer is a - 1/4
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Answer:

n = 11

Step-by-step explanation:

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Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

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For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

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√3/3 * 12 = y

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4 0
3 years ago
Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p
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Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

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Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

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\Rightarrow 3y=333

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From equation (ii),

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From equation (iii),

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Hence,

The number of free throws, z= 135

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The number of three-point throw, y=111.

3 0
3 years ago
michele is 52 inches tall. her father is 6 feet and 3 inches tall. exactly how many inches taller is michele
Studentka2010 [4]

Answer:

michelle is 23 inches shorter than her dad

Step-by-step explanation:

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3 years ago
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

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Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

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Interest rate of 8.15% per annum compounded monthly:

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Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

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3 years ago
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