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fomenos
4 years ago
7

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o. What is the length of the hypotenus

e of the triangle? Round to the nearest tenth.
A: 3.9 in.
B: 4.1 in.
C: 22.7 in.
D: 23.0 in.
Mathematics
2 answers:
mojhsa [17]4 years ago
8 0
In order to find the length of the hypotenuse, we use knowledge on trigonometric functions which would be sine and is expressed as:

sine (theta) = opposite side / hypotenuse

sine 80 = 4 / hypotenuse
Hypotenuse = 4.1 in <---- OPTION B
andre [41]4 years ago
3 0

Answer:

its B 4.1 in.        

Step-by-step explanation:

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4 years ago
Solve each equation for y. <br> 1. 2y + 4x = 8; x = -2, 1, 3
prohojiy [21]

Answers:

IF: x = -2, THEN: y = 8

IF: x = 1, THEN: y = 2

IF: x = 3, THEN: y = -2

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. When isolating, do the opposite of PEMDAS. When solving, follow PEMDAS.

If: x = -2

Plug in -2 for x in the equation.

2y + 4 (-2) = 8

First, multiply. Note that when you multiply a negative and a positive number, your answer will be negative:

2y + (4 * -2) = 8

2y - 8 = 8

2y - 8 = 8

Isolate the variable, y. First, add 8 to both sides:

2y - 8 (+8) = 8 (+8)

2y = 8 + 8

2y = 16

Next, divide 2 from both sides of the equation:

(2y)/2 = (16)/2

y = 16/2

y = 8

IF x = -2, then y = 8.

If: x = 1

Plug in 1 for x in the equation.

2y + 4(1) = 8

First, multiply:

2y + (4 * 1) = 8

2y + 4 = 8

Next, isolate the variable, y. Note the equal sign; do the opposite of PEMDAS.

First, subtract 4 from both sides:

2y + 4 (-4) = 8 (-4)

2y = 8 - 4

2y = 4

Next, divide 2 from both sides to isolate y:

(2y)/2 = (4)/2

y = 4/2

y = 2

If: x = 1, then y = 2.

If: x = 3

Plug in 3 for x in the equation:

2y + 4(3) = 8

First, multiply:

2y + (4 * 3) = 8

2y + 12 = 8

Next, isolate the variable, y. Note the equal sign; do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

2y + 12 (-12) = 8 (-12)

2y = 8 - 12

2y = -4

Next, divide 2 from both sides of the equation:

(2y)/2 = (-4)/2

y = -4/2

y = -2

If: x = 3, then y = -2.

7 0
3 years ago
A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail
Wittaler [7]

Answer:

Step-by-step explanation:

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The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.

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5 0
3 years ago
The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
tangare [24]

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

65 = x + x - 5 + 7

65 - 7 + 5 = x + x

63 = 2x

x =  \frac{63}{2}  = 31.5

The length of each side is 31.5m, 26.5m, 7m

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4 years ago
PLEASE HELP! IM ALMOST DONE !
maksim [4K]

Answer:

D. \frac{22x + 48}{x^2 - 36}

Step-by-step explanation:

Given:

\frac{15}{x - 6} + \frac{7}{x + 6}

Required:

Find its equivalent expression

Solution:

Add both fractions

Thus,

\frac{15}{x - 6} + \frac{7}{x + 6}

\frac{15(x + 6) + 7(x - 6)}{x^2 - 36}

\frac{15x + 90 + 7x - 42}{x^2 - 36}

\frac{15x + 7x + 90 - 42}{x^2 - 36}

\frac{22x + 48}{x^2 - 36}

Therefore,

\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{22x + 48}{x^2 - 36}

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3 years ago
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