<span><span><span>−t</span>4</span>=<span><span>(<span>−3</span>)</span><span>(3.141593)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>−1</span>4</span>t</span>=<span>−9.424778</span></span>Step 2: Multiply both sides by 4/(-1).<span><span><span>(<span>4<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>4</span>t</span>)</span></span>=<span><span>(<span>4<span>−1</span></span>)</span>*<span>(<span>−9.424778</span>)</span></span></span><span>t=37.699112</span>
Answer:
3/5
Step-by-step explanation:
We need to use the trig identity that cos(2A) = cos²A - sin²A, where A is an angle. In this case, A is ∠ABC. Essentially, we want to find cos∠ABC and sin∠ABC to solve this problem.
Cosine is adjacent ÷ hypotenuse. Here, the adjacent side of ∠ABC is side BC, which is 4 units. The hypotenuse is 2√5. So, cos∠ABC = 4/2√5 = 2/√5.
Sine is opposite ÷ hypotenuse. Here, the opposite side of ∠ABC is side AC, which is 2 units. The hypotenuse is still 2√5. So sin∠ABC = 2/2√5 = 1/√5.
Now, cos²∠ABC = (cos∠ABC)² = (2/√5)² = 4/5.
sin²∠ABC = (sin∠ABC)² = (1/√5)² = 1/5
Then cos(2∠ABC) = 4/5 - 1/5 = 3/5.
Answer:
26 feet
Step-by-step explanation:
Let the length of the required wire =l
The height of the tree =24 cm
We want the tree to fall to the ground 10 feet away from the base.
Ths problem forms a right triangle which I have drawn and attached below.
To determine the length of the wire l required, we use Pythagoras theorem to solve for the hypotenuse of the right triangle.

Thw wire must be 26 feet long to reach the ground.
The answer is C
(x+ 4 , y - 3)
Moving right and left = x- value
Moving up and down = y-value
Answer:
$2
Step-by-step explanation:
if the 0 games are $20 that means that is your beginning start
because you got the membership.
Then from the 5 games is $30
you take away 20 from 30 and is left with $10
then divide that by the 5 games you get
$2 per game