The answer is c)4 bc the four scores under 70 are 69, 65, 63 and 58
Answer:
Step-by-step explanation:
f(x) = 2x² + x - 3
f'(x) = 4x + 1
f'(x) = 4(-1) + 1 = -3 slope
f(x) = 2(-1)² + (-1) - 3 = -2
(-1, -2)
-2 = -3(-1) + B
B = -5 y intercept
y = -3x - 5
f(x) = 1/x² = x⁻²
f'(x) = -2x⁻³
f'(-2) = -2(-2)⁻³ = -2/-8 = 1/4 slope
y = 1/4x + B
1/4 = 1/4(-2) + B
B = 3/4
y = 1/4x + 3/4
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
<h3>What are the correct elevation measurements?</h3>
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
Read more about elevations at; brainly.com/question/10254887
In the design of a package, things to take into consideration are:
- The size
- Its safety
- Its durability
- Its storage space, etc.
<h3>What is cost effectiveness?</h3>
The most cost effective and efficient to pack 12 golf balls is through the use of a small golf bag or a small box that is made specially for that purpose.
The design of the box will be in a rectangle shape where there will be two rows of which the ball is made to fit in till the 12 balls are completely inside the box. The lock is automatic and it is one that can be easily closed and opened easily when one wants to take a ball.
Learn more about design from
brainly.com/question/2604531
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