Using the figure below, select the pairs of complementary angles.

Mathematics

1 answer:

Mila [183]3 years ago

8 0

Answer:

c) <DBE and <EBC

Step-by-step explanation:

This is because when added together, both angles equal 90 degrees.

Complementary angles always equal 90 degrees.

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I have this question please help me solve this...

-BARSIC- [3]

Answer: is C

Step-by-step explanation:

6 0

3 years ago

Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is

Liula [17]

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Data;

Angle = 30 degree
Opposite = 35
Adjacent = x

<h3>Trigonometric Ratio</h3>

Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.

SOHCAHTOA

Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

$Tan\theta = \frac{opposite}{adjacent} \\tan 30 = \frac{35}{x}\\ x = \frac{35}{tan30}\\ x = 60.62ft$

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Learn more on trigonometric ratio here;

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7 0

2 years ago

-2(3y - 6) + 4(5y - 8) = 92

Whitepunk [10]

Answer:

y = 8

Step-by-step explanation:

$-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8$