Answer:
52,5°
Step-by-step explanation:
0,5 × (135 - 30)
= 0,5 × (105)
= 52,5°
Using the diagram, we can conclude that the radius is 10 feet, and the height is 6 feet.
Plug in the values for radius and height into the equation.
V = π10^2*6
Simplify in terms of pi.
V = 600π
Round pi to 3.14 and multiply by 600.
V = 1,884
1,884 cubic feet is your answer.
In the image you provided, I do not see a fourth option that includes 1,884 cubic feet. I would assume that the camera did not take a full picture of the answer choices.
Answer:
70
Step-by-step explanation:
<h3>
Answer: 24 feet (Choice D)</h3>
=============================================
Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
---------------------------
Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Answer:
x = 4
y = -3
Step-by-step explanation:
We can use substitution, elimination, or graphically.
Step 1: Rearrange first equation
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Step 2: Rewrite systems of equations
x = -2 - 2y
3x + 5y = -3
Step 3: Substitution
3(-2 - 2y) + 5y = -3
-6 - 6y + 5y = -3
-6 - y = -3
-y = 3
y = -3
Step 4: Find <em>x</em> using <em>y</em>
2x + 4(-3) = -4
2x - 12 = -4
2x = 8
x = 4
Graphically:
Use a graphing calc and analyze where the 2 lines intersect.