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Bess [88]
2 years ago
8

What is the length of EF?

Mathematics
1 answer:
pantera1 [17]2 years ago
7 0

Answer:

  (a)  3.8

Step-by-step explanation:

The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.

__

<h3>compare angles</h3>

The given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.

<h3>compare sides</h3>

Since the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.

  EF > DE

  EF > 3

Only one answer choice satisfies this inequality.

  EF = 3.8

__

<em>Additional comment</em>

If you want to do the actual computation, we have ...

  EF/sin(D) = DE/sin(F)

  EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828

  EF ≈ 3.8

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Each month cameron budgets $1040 for fixed expenses $980 for living expenses and $120 for annual expenses his annual net income
sineoko [7]
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Every month Cameron spends 1040 + 980 + 120 = 2140

To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680


This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:

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irga5000 [103]

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Step-by-step explanation:

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3 years ago
Kenyl covers the front of a circular bulletin board with fabric that costs 1.48 per square foot. The bulletin board has a radius
Gnoma [55]

Answer:

29

Step-by-step explanation:

In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.

To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.

Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.

mathematically A = 2.5^2 * pi = 19.63 sq. feet

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3 years ago
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus
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The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A coordinate plane. The x-axis and y-axis are each scaled by one.

A graph of a line goes through the points (0, 4) and (1, 6) will be

The equation of a line that is passing through the points (0, 4) and (1, 6) will be

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The graph is given below.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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