A circle measures 360°.
Since ∠DEF is equal to 70°, the rest of the circle will have a measure of 360 - 70 = 290°.
Central Angle and Arc relationship:
It states that the measure of the central angle and the arc that it intercepts are equal in measure.
Since ∠DEC is a central angle, its intercepted arc DF is also equal to 70°.
With this given facts, arc DGF is equal to 290°.
We can only solve for the degrees because radius is not given. Had it been given, the fraction 290°/360° will be multiplied to the circumference of the circle to get the length of the arc DGF.
Answer:
He can drive 481 miles if David rents his car for three days
Step-by-step explanation:
This is true because if you take the 24.95 and multiply it by 3, because he rented it for three days, you'll get 74.85. Then you'll subtract 200 (the total money that can be spent) by 74.85 you'll get 125.15. Divide the remaining number, 125.15 by 0.26 to get 481.34. Take the decimals away because you don't need it, if you want to be sure it's correct you can multiply 481 by 0.26 to get 125.05 which is lower than 125.15 so it good because if you use 482 besides 481 it will be higher than the amount of money David can spend, that's why 481 is the right answer.
Answer:
1 : 6 . . . . or 1/6
Step-by-step explanation:
We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...
drawing size : actual size = 10 inches : 60 inches = 1 : 6
This can also be written as the fraction 1/6.
62.71 would be the answer
6. Expand the left side:
Recall the Pythagorean identity,
which leaves us with
Recall the angle sum formula for cosine:
which gets us to where we need to be:
and we're done.
7. A. The formulas you need are
This gives
7. B. Solving for gives
which holds for
where is any integer.
7. C. Factorize as
From here, we have
which hold for
where is any integer.