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dedylja [7]
3 years ago
5

Use law of sines or law of cosines to find the length of side AB Please show work !!

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

AB = 11.3

Step-by-step explanation:

Given

The attached triangle

Required

Length AB

To do this, we make use of sine law which is represented as:

\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}

So, we have:

\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}

Make AB the subject

AB = \frac{15}{\sin(70)} * \sin(45)

AB = \frac{15}{0.9397} *0.7071

AB = 11.3

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1.4 inches

Step-by-step explanation:

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If x and y vary directly and x= 60 when y=5, what is the value of y when x=36?
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4 years ago
Ian buys a rectangular water cooler that has a volume of 4 1/16 cubic feet. The water cooler is 1 1/4 feet long and 1 feet wide.
mestny [16]
To find the height of the water cooler, you will use the formula for finding the volume of a rectangular prism and solve for the missing height.

V = lwh
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8 0
3 years ago
Please help me fr im struggling
Alchen [17]

Answer:

x = 3

m<PAW = 1

Step-by-step explanation:

☆They are supplementary angles.

☆Supplementary angles equal 180 degrees.

- 11x + 17 3 - 1x + 43 = 180 \\  - 12x + 216 = 180 \\  \frac{  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: - 216 =  - 216}{ \frac{ - 12x}{ - 12}  =  \frac{ - 36}{ - 12} }  \\ x = 3

☆Plug in for m<AEZ

- 1(3) + 4 \\  - 3 + 4  \\ 1

☆m<PAW is corresponding to m<AEZ

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☆m<PAW equals 1.

4 0
3 years ago
A guy-wire extends from the top of a cell phone tower to a point on the
Fed [463]

Answer:

79.1 ft

Step-by-step explanation:

Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.

Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.

You are looking for the length of segment AC, the guy wire length.

Triangle ABC is a right triangle with right angle B.

Sides AB and BC are the legs, and side AC is the hypotenuse.

We can use the Pythagorean Theorem:

(leg1)^2 + (leg2)^2 = (hyp)^2

Let one leg be a, the other leg be b, and let the hypotenuse be c.

Then you have

a^2 + b^2 = c^2

We have a = 75 ft

b = 25 ft

We are looking for c, the length of the hypotenuse.

(75 ft)^2 + (25 ft)^2 = c^2

5625 ft^2 + 625 ft^2 = c^2

6250 ft^2 = c^2

c^2 = 6250 ft^2

Take the square root of both sides.

c = 79.0569... ft

Answer: 79.1 ft

6 0
3 years ago
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