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3 years ago

Solve for X. (nearest WHOLE degree)

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Answer:

Step-by-step explanation:

To solve for x we use sine

sin ∅ = opposite / hypotenuse

From the question

38 is the hypotenuse

20 is the opposite

So we have

sin x = 20/38

sin x = 10/19

x = sin-¹ 10/19

x = 31.75

<h3>x = 32° to the nearest degree</h3>

Hope this helps you

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Suppose that 20% of adults belong to health clubs, and 51% of these health club members go to the club at least twice a week. Wh

Westkost [7]

Answer:

10.2% of adults will belong to health clubs and will go to the club at least twice a week

Step-by-step explanation:

assuming that the event H=an adult belongs to a health club and the event T= he/she goes at least twice a week , then if both are independent of each other:

P(T∩H)= P(H)*P(T) ( probability of the union of independent events → multiplication rule )

replacing values

P(T∩H)= P(H)*P(T) = 0.20 * 0.51 =0.102

then 10.2% of adults will belong to health clubs and will go to the club at least twice a week

5 0

3 years ago

Which term describes the variable y in the expression yn?<br> A.Product B.Factor C.Base D.Exponent

grigory [225]

If the expression is: yⁿ
then y is the Base.

If the expression is: yn
then y is the product.

5 0

3 years ago

Gabriel wants to paint the model. How

enyata [817]

Answer:

<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

$B=12 \times 12 = 144 \ in^{2}$

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

$A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}$

But there are four triangle faces, so $A_{faces} =4(66)=264 \ in^{2}$ .

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

$S=144+264=408 \ in^{2}$

Therefore, Gabriel needs 408 square inches to paint the whole model.

4 0

3 years ago

Subtract 8 from 10, then add n to the result

ohaa [14]

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

6 0

2 years ago

Read 2 more answers

Solve -3x2 + 30x - 90 = 0.

FrozenT [24]

$-3x^{2}+30x-90=0 \\ \\ x^{2}-10x+30=0 \\ \\ \Delta=(-10)^{2}-4*1*30=100-20=-20 \\ \\ \sqrt{\Delta}= \sqrt{-20}=i \sqrt{20} =2i \sqrt{5} \\ \\ x_{1}= \frac{10-2i \sqrt{5} }{2} = 5-i \sqrt{5} \\ \\ x_{2}= \frac{10+2i \sqrt{5} }{2} = 5+i \sqrt{5}$

6 0

3 years ago