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Usimov [2.4K]
3 years ago
6

How to do step by step?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
We know the opposite side (10) and the adjacent side (7), so we can use tangent to find angle B.  Since tan = opposite side/adjacent side, we can set up this equation: tan(B) = 10/7.  We can get B on its own by making the equation this: B = tan^{-1} (10/7)

Now, we plug this into our calculator to get:

B = 55°, so angle B is 55°.

Let me know if you need any more help!
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What is 4/5 multiplied by 3/4
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12/20 =3/5

Step-by-step explanation:

4/5   *  3/4 = 12/20 =3/5

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Megan bought 3 tickets to the ballet for $57.50. How much would it cost for her to buy 15 tickets?
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Read 2 more answers
A box contains four red balls and eight black balls. Two balls are randomly chosen from the box, and are not
castortr0y [4]

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

<em><u>Solution:</u></em>

<em><u>The probability is given as:</u></em>

Probability = \frac{\text{number of favorable outcomes}}{\text{total number of possible outcomes}}

Given that,

A box contains four red balls and eight black balls

Red = 4

Black = 8

Total number of possible outcomes = 12

Let event B be choosing a black ball first and event R be choosing a red ball second.

<h3><u>Find P(B)</u></h3>

P(B) = \frac{8}{12}

<h3><u>Find P(B n R)</u></h3>

P(B n R) = P(B) \times P(R)\\\\P(B n R) = \frac{8}{12} \times \frac{4}{11}\\\\P(B n R) = \frac{8}{33}

<h3><u>Find </u><u> P(R | B)</u></h3><h3>P(R | B) = \frac{P(R n B)}{P(B)}\\\\P(R | B) = \frac{\frac{8}{33}}{\frac{8}{12}}\\\\P(R | B) = \frac{8}{33} \times \frac{12}{8}\\\\P(R | B) = \frac{4}{11}</h3>

<em><u>The probability that the first ball chosen is black and the second ball chosen is red is about percent</u></em>

\frac{8}{33} \times 100 = 0.24 \times 100 = 24 \%

Thus the probability that the first ball chosen is black and the second ball chosen is red is about 24% percent

4 0
4 years ago
A mother shared $600 amongst her three daughters Ana, Betty and Carol in the ratio of 2:3:5 respectively. How much money did Bet
Anon25 [30]

Ana, Betty and Carol in the ratio of 2:3:5 respectively

mom cut the $600 in (2+3+5) 10 parts

and gave 3 parts to betty

so B got 600 : 10 x 3 = $180

4 0
3 years ago
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