Answer:
Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Step-by-step explanation:
Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is
.
Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into
each.
By alternate angle property,
Tan
= 
= Tan
× 10
= 7.00021
⇒ x = 2 × 7.0021
= 14. 0042
x = 14
Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
Answer:
C.
Step-by-step explanation:
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer:
47
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x−3(−44−23)=13
Step 1: Simplify both sides of the equation.
−4x+201=13
Step 2: Subtract 201 from both sides.
−4x+201−201=13−201
−4x=−188
Step 3: Divide both sides by -4.
−4x
−4
=
−188
−4
x=47