Answer:
388
Step-by-step explanation:
Lol i hope tou meant simplify
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)
The complement of an acute angle A in degrees is 90 - A. So if the complement is 25 degrees, the angle would be 90 - 25 = 65 degrees.
We know that
[the length of a circumference]=2*pi*r
for r= 4 units
[the length of a circumference]=2*pi*4--------------> 25.12 units
if a full circle (360°) has a length---------------------> 25.12 units
arc for an angle of 72 °---------------------------> X
X=72*25.12/360------------> 5.024 units
the answer is
<span>the length of the subtending arc for an angle of 72</span>° is 5.024 units