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Fynjy0 [20]
3 years ago
14

Can i pls have help?

Mathematics
1 answer:
IgorC [24]3 years ago
4 0
I think you just try each option then write the correct one. That is what I do when I don’t know the answer in MCQ
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A security camera is mounted 9 feet above the floor .
jonny [76]

Answer:

angle = 0.24 rad = 14 °

Step-by-step explanation:

The angle of depression is the angle formed by the horizontal at the camera position and the line formed by the camera and the objective, therefore it can be calculated from the information provided as shown in the attached file:

First, you draw f' and f" as parallel lines to the floor at the height of the objective and the height of the camera respectively. Then draw the line o between camera and objective.

the blue angle created by o and f" is the depression angle, which is the same as the angle created by o and f' because angles between parallel lines.

You need to calculate b, as:

b = h - a = 9 - 6 = 3

Then, for the trigonometric function tangent as we have a rectangle triangle:

Tan(angle)=\frac{b}{f'}

therefore:

angle = Tan^{-1}(\frac{b}{f'} ) = Tan^{-1}(\frac{3}{12} )

angle = 0.24 rad = 14 °

8 0
4 years ago
Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm, what is the surface area prism 1
Bad White [126]

Using the hint that the ratio of surface areas is the scale factor squared, the surface area of prism 1 is 36 square cm

<h3>How to determine the surface area prism 1 using the hint that the ratio of surface areas is the scale factor squared?</h3>

From the figure, we have the following parameters

Prism 1 = 3 cm

Prism 2 = 8 cm

Calculate the scale ratio of dilation from prism 2 to prism 1 using the following equation

Scale ratio = Prism 1/Prism 2

Substitute the known values in the above equation

Scale ratio = 3m/8m

This gives

Scale ratio = 0.375

The surface area of prism 1 is then calculated using the following equation

Area of prism 2 = Scale ratio^2 * Area of prism 1

Substitute the known values in the above equation

Area of prism 2 = 0.375^2 * 256 square cm

Evaluate the product

Area of prism 2 = 36 square cm

Hence, the surface area of prism 1 is 36 square cm

Read more about surface area at

brainly.com/question/76387

#SPJ1

6 0
2 years ago
candy bars have increased in price by 8% in recent years. if today’s price is approximately $1.60, how much was the original pri
igor_vitrenko [27]

Answer:

$1.50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Select the correct answer.
rusak2 [61]

Answer:

the answer is E. none of the above

8 0
3 years ago
If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?.
charle [14.2K]
The answer is D. 4,3
7 0
4 years ago
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