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sveticcg [70]
3 years ago
8

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
2 answers:
serg [7]3 years ago
4 0

Answer:

x = 8.8

Step-by-step explanation:

take 20 degree as reference angle .the,

hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)

perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)

base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)

using sin rule

sin 20 = opposite / hypotenuse

0.34 = 3 / x

x = 3/0.34

x = 8.82

x = 8.8

Paha777 [63]3 years ago
4 0
X=8.8 is what is written
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Step-by-step explanation:

(1/6)(15a+20b)

=(1/6)(15a)+(1/6)(20b)

6 0
3 years ago
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4 years ago
30m^2+27m-20=0. It’s quad
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Step-by-step explanation:

3 0
3 years ago
Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
Aneli [31]

Answer: Hello your question is incomplete below is the missing part

Which of the following statements about Hannah’s claim is supported by the interval?

A) Hannah is likely to be incorrect because the difference in the sample means was 18.6−14.4=4.218.6−14.4=4.2 hours.

B) Hannah is likely to be incorrect because 9 is not contained in the interval.

 C)The probability that Hannah is correct is 0.99 because 9 is not contained in the interval.

 D)The probability that Hannah is correct is 0.01 because 9 is not contained in the interval.

 E)Hannah is likely to be correct because the difference in the sample means (18.6−14.4=4.2)(18.6−14.4=4.2) is contained in the interval.

Answer :  Hannah is likely to be incorrect because 9 is not contained in the interval. ( B )

Step-by-step explanation:

The statement that is supported by the interval in Hannah's claim is that

Hannah is likely to be incorrect because 9 is not contained in the interval.

5 0
3 years ago
Find the two numbers whose sum is 24 and whose product is as large as possible.
svetlana [45]
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2

Now, P'(x) = 0 ⇒ x = 12
Also, 
P''(12) = -2 < 0

So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12

So, In short that numbers would be 12,12

Hope this helps!
4 0
3 years ago
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