Answer:
Option B. 24/25
Step-by-step explanation:
we know that
In the right triangle DEF
∠D+∠E=90° -----> by complementary angles
so
sin(D)=cos(E)
we have
sin(D)=24/25
therefore
cos(E)=24/25
Answer:
Arithmetic
Step-by-step explanation:
9514 1404 393
Answer:
5/36
Step-by-step explanation:
Colin's fraction of the prize is ...
5/(3+4+5) = 5/12
1/3 of that is ...
(1/3)(5/12) = 5/36
Colin gave 5/36 of the prize to charity.
Train A:
Distance (s) = 420 miles
Time (t) = 3 hours
Speed (v) = distance ÷ time = 420 ÷ 3 = 140 miles/hour
Train B:
Distance (s) = 420 miles
Time (t) = 2.25 hours
Speed (v) = distance ÷ time = 420 ÷ 2.25 = 186.7 miles/hour
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.