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mars1129 [50]
2 years ago
8

Find the value of each variable. x = and y =

Mathematics
2 answers:
pychu [463]2 years ago
8 0

Answer:

x = 16

y = 27.7

Step-by-step explanation:

solving for x: use sine

sine = \frac{opposite}{hypotenuse}

⇒ sine 30 = \frac{x}{32}

sine of 30 is 0.50

⇒ 0.50 = \frac{x}{32}

multiply 32 on both sides:

⇒ 0.50 x 32 = \frac{x}{32} x 32

solve:

⇒ 16 = x

solving for y: use cosine

cosine = \frac{adajcent}{hypotenuse}

⇒ cosine 30 = \frac{y}{32}

cosine of 30 is 0.866

⇒ 0.866 = \frac{y}{32}

multiply 32 on both sides

⇒ 0.866 x 32 = \frac{y}{32} x 32

solve:

⇒ 27.7 = y

alex41 [277]2 years ago
4 0

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3

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A point's coordinates are changed from (–7, –2) to (–7, 2). What effect does this have on the location of the point?It is reflec
NeX [460]
The point is reflected across the x axis. hope this helps you :)
8 0
3 years ago
A rectangular swimming pool measures 7.5 m by 4.5 m. It is completely surrounded by a fence parallel to each edge of the pool an
Illusion [34]

The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

<h3>What is rectangle?</h3>

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A rectangular swimming pool measures 7.5 m by 4.5 m.

It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.

The total length of the fence = 2(7.5+3×2 + 4.5+3×2)

The total length of the fence = 2(7.5+6 + 4.5+6)

The total length of the fence = 2(24)

The total length of the fence = 48 m

Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

4 0
1 year ago
joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each
masya89 [10]
So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
Jeff's\ weight = 86 \frac{2}{3} \ lbs.

Substitute again.
x = 2(86 \frac{2}{3} )-20

Multiply.
x = 173 \frac{1}{3} -20

Subtract.
Joe's\ weight = 153 \frac{1}{3}\ lbs.

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.
Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.
3 0
3 years ago
Was is 9 Divided 3103
Dominik [7]

Answer:

0.003 but if you just put that in backwards, 345.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please help me thank you if u do
astra-53 [7]

Answer:

Step-by-step explanation:

1/2 * ( 9 * 6 * 10)

1/2 * 540

270 in^{2}

7 0
3 years ago
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