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Nezavi [6.7K]
2 years ago
12

What is the measure of ∠L ? A right triangle L M N. Angle M is marked as a right angle. Side L M is labeled as 18 inches. Side L

N is labeled as 60 inches.
Mathematics
1 answer:
Tomtit [17]2 years ago
7 0

Answer:

72.54°

Step-by-step explanation:

Given that triangle LMN is a right-angle triangle and LM=18 inches and LN =60 inches then;

applying the cosine rule

cos ∠L=Adjacent/hypotenuse

cos∠L=18/60

cos∠L=0.3

cos⁻¹ ∠L= 72.54°

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Convert the decimal below to a fraction in simplest form.0.645
Julli [10]

Answer:

129/200

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Will give brainliest answer!
kifflom [539]
5x + 60y = 35

x +y = 1.5 : rewrite as x = 1.5-y   and substitute this formula for x in the first one:

5(1.5-y) + 60y = 35

distribute:

7.5 - 5y + 60y = 35

combine like terms:

7.5 + 55y = 35

subtract 7.5 from both sides:

55y = 27.5

divide both sides by 55 to solve for  y

y = 27.5 / 55 = 0.5

now substiute 0.5 for y in the 2nd equation:

x + 0.5 = 1.5

x = 1.5 - 0.5 = 1

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8 0
2 years ago
Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
Nikolay [14]

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

5 0
3 years ago
18000lb greater then or less then 9T
Alla [95]
It is equal because every 2000 pounds is 1 ton and 18000lb divided by 2000 equals 9.
5 0
2 years ago
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Pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in
irga5000 [103]

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)

6 0
2 years ago
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