Answer:
15 degrees
Step-by-step explanation:
Draw a horizontal segment approximately 4 inches long. Label the right endpoint A and the left endpoint C. Label the length of AC 4.2 meters. That is the horizontal distance between the eye and the blackboard.
At the right endpoint, A, draw a vertical segment going up, approximately 1 inch tall. Label the upper point E, for eye. Label segment EA 1 meter since the eye is 1 meter above ground.
At the left endpoint of the horizontal segment, point C, draw a vertical segment going up approximately 2 inches. Label the upper point B for blackboard. Connect points E and B. Draw one more segment. From point E, draw a horizontal segment to the left until it intersects the vertical segment BC. Label the point of intersection D.
The angle of elevation you want is angle BED.
The length of segment BC is 2.1 meters. The length of segment CD is 1 meter. That means that the length of segment BD is 1.1 meters.
To find the measure of angle BED, we can use the opposite leg and the adjacent leg and the inverse tangent function.
BD = 1.1 m
DE = 4.2 m
tan <BED = opp/adj
tan <BED = 1.1/4.2
m<BED = tan^-1 (1.1/4.2)
m<BED = 15
Answer: 15 degrees
Answer: The question is a multiple choice so it's A and C:)
Answer:
Step-by-step explanation:
It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.
<h3>3 3/5+1 1/6</h3>
<u>First, you have to add the whole numbers.</u>
3+1=4
<u>After that, you can combine by a fraction.</u>
6*3=18
18/5+ 1 1/6
1+6=7
7/6
<u>Rewrite the problem down.</u>
18/5+7/6
<u>Solve.</u>
5*6=30
143/30
=23/30
- <u>Therefore, the final answer is 4 23/30.</u>
<h3 />
I hope this helps you! Let me know if my answer is wrong or not.
The <em>correct answer</em> is:
maximum: 116
; range: y ≤ 116
Explanation:
This is a quadratic equation in standard form, which is y=ax²+bx+c. The maximum or minimum of a quadratic function is the vertex. To find the x-coordinate of the vertex, we find the axis of symmetry. This is given by the formula x=-b/2a:
x = -32/2(-2) = -32/-4 = 8
To find the y-coordinate, plug this into the equation:
y = -2(8²)+32(8)-12
y=-2(64) + 256 - 12 = -128+256-12 = 128-12 = 116
The coordinates of the vertex are (8, 116).
To determine if this is a maximum or minimum, look at the value of a. It is -2. Since it is negative, this means the parabola opens downward, and the vertex is a maximum.
Since this is a maximum at y=116, this means the range, our y-values, will be less than or equal to this value of 116.