Answer:
The answer is C 35+12<em>c</em> ≤ 145
Step-by-step explanation:
Answer:
<u>41 is the 20% of 205.</u>
Step-by-step explanation:
Given the information, the question is what percentage of 205 is 41.
In this case, 205 is the one hundred percent and we need to determine the exact percentage of 41 in relation to 205.
Percentage = (41 * 100)/205
Percentage = 4,100/205
Percentage = 20%
<u>41 is the 20% of 205.</u>
Answer:cq cat cat cat cat
Step-by-step explanation:
Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
About 104 ft
To find out how tall the tree is, you can draw a diagram to help you picture it.
Picture the tree and you as a triangle. You are 55 ft from the tree. That means that the base of your triangle is 55 ft. The opposite side is the straight side you are trying to find. Let's say that value is x. Then, you have the angle of elevation from your eyes to the top of the tree, which is 61˚.
Tangent ratio = opposite side/adjacent side. These are the sides we have, so we are going to use them by using a tangent ratio.
So, now we have arrived at our equation: tan 61 = x/55
We can simplify this easily by multiplying 55 on both sides. x ÷ 55 = tan 61. x ÷ 55 • 55 = 55 • tan 61. So, x = 55 • tan 61 ≈ 99.2 ft
But, we still have to account for the height of your eyes. To do this, we just add 4.5 ft to 99.2 ft = 103.7 ≈ 104, so the tree is about 104 ft tall