Answer:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) = 
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Well for 1.4 will be 1, 2.2 will be 2, 0.7 will be 1, 3.9 will be 4, and 1.8 is 2
4-70=7-6x
-64-7=6x
-71=-6x
71/6=x
Answer:
26 1-foot squares of silver paper.
Step-by-step explanation:
The dimensions of the bulletin board are 6.5 feet by 4 feet.
To determine how many squares of silver paper she needs to but, we first determine the area of the bulletin board.
Area of the board =6.5 X 4= 26 Square feet
Therefore, Mrs Golden needs to buy <u>26 1-foot squares of silver paper.</u>
There will be <u>no pieces left over</u> as there is no decimal or fractional value in the area of the bulletin board.
Answer:
1/2 or 50% of the population has heard the rumor when it is spreading fastest.
Step-by-step explanation:
We need to take the derivative with respect to y from the r(y) = dy/dt = 2y(1-y) and equal to zero. At this condition we maximize the function and will get the maximum of the rumor spreading.
Therefore we just need to find y:
So 1/2 or 50% of the population has heard the rumor when it is spreading fastest.
I hope it helps you!
