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3 years ago

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

Mathematics

2 answers:

timofeeve [1]3 years ago

5 0

Answer: 41.1

Step-by-step explanation:

To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.

Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.

$cos(47)=\frac{28}{x}$ [multiply both sides by x]

$xcos(47)=28$ [divide both sides by cos(47)]

$x=\frac{28}{cos(47)}$

When we plug that into a calculator, we get x=41.1.

bixtya [17]3 years ago

4 0

Answer:

ans: 41.1

Step-by-step explanation:

in given figure 47° is reference angle so considering the given sides and reference angle use cosine

I.e

cos47° = 28/x

x = 28 / cos47°

x = 41.1

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a fair number cube labeld 1,2,3,4,5,6 is rolled a hundred times. about how many times could you expect to roll a three?

Vsevolod [243]

So probability is (desired outcomes)/(total possitlble outcomes)
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3 0

3 years ago

The sum of a number, n, and a number 5 is larger than it is 41. Which of the following equations could be used to solve for the

Allisa [31]

The answer is A hope this helps

5 0

2 years ago

2) Find each angle measure to the nearest degree

UNO [17]

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Step-by-step explanation

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8 0

2 years ago

a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane

Setler79 [48]

Answer: 336.80 miles, $15.85^{\circ}$ North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

$\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}$

Direction is given by using figure i.e.

$\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}$

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7 0

2 years ago

-9(m+3) +14=-49 please show work

yKpoI14uk [10]

Answer:

m=4

Step-by-step explanation:

−9(m+3)+14=−49

Step 1: Simplify both sides of the equation.

−9(m+3)+14=−49

(−9)(m)+(−9)(3)+14=−49(Distribute)

−9m+−27+14=−49

(−9m)+(−27+14)=−49(Combine Like Terms)

−9m+−13=−49

−9m−13=−49

Step 2: Add 13 to both sides.

−9m−13+13=−49+13

−9m=−36

Step 3: Divide both sides by -9.

−9m

−9

−36

−9

m=4

8 0

2 years ago