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Crazy boy [7]
3 years ago
15

Given the following triangle, if c = square root of 7 and a = 1, find the measure of B.

Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

  68°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the relation between the angle's adjacent side and the hypotenuse is ...

  Cos = Adjacent/Hypotenuse

This means ...

  cos(B) = a/c

  B = arccos(1/√7) ≈ 68°

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Simplify the expression: <br> (8+-9)(9+-8)
Paha777 [63]

Answer:

-1

Step-by-step explanation:

(8 + -9)(9 + -8)

A negative times a positive is a negative.

8 + -9

+- = -

8 - 9

8 - 9 = -1

(-1)(9 + -8)

9 + -8

+- = -

9 - 8

9 - 8 = 1

(-1)(1)

Now, we multiply

Remember, a negative times a positive equals a negative.

-1 * 1 = -1

Our answer is -1

5 0
4 years ago
Read 2 more answers
If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)
Nesterboy [21]

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

<h3>Conditional probability</h3>

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

<u>Determine P(AUB)</u>

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

Learn more on probability here: brainly.com/question/24756209

6 0
3 years ago
C. Find the missing numbers in the number sentences below.
madreJ [45]

Answer:

7 x 1 = 8 x 7 I think

Step-by-step explanation:

so I hope it helps

3 0
2 years ago
How do you reduce 2 1/32
wlad13 [49]

Answer:

I don't think you can reduce this number.

Step-by-step explanation:

There is no common factor between the numbers. Thus it stays the same. Hope this helps .

6 0
3 years ago
What is the intersection of the lines given by 2y=-x+3 and -y=5x+1? Enter the answer as an ordered pair.
Ivahew [28]

Answer:

(-5/9, 16/9)

Step-by-step explanation:

2y = -x + 3

-y = 5x + 1

To find the intersection, you need to substitute the y-value from the second equation into the first equation.  Rearrange the second equation so that it is equal to y.

-y = 5x + 1

-1(-y) = -1(5x + 1)

y = -5x - 1

Substitute this equation into the y-value of the first equation.

2y = -x + 3

2(-5x - 1) = -x + 3

-10x - 2 = -x + 3

(-10x - 2) + 2 = (-x + 3) + 2

-10x = -x + 5

(-10x) + x = (-x + 5) + x

-9x = 5

(-9x)/(-9) = (5)/(-9)

x = -5/9

Plug this x value into one of the equations and solve for y.

2y = -x + 3

2y = -(-5/9) + 3

2y = 5/9 + 3

2y = 32/9

(2y)/2 = (32/9)/2

y = 32/18 = 16/9

The ordered pair is (-5/9, 16/9).

4 0
3 years ago
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