First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).
If they're integers, that means they can't be fractions (such as 15/2 and 2).
So the only couples of integers that, when multiplied, result in 15 are:
1 and 15
5 and 3.
(there are no other possibilities as both 5 and 3 are not divisible further).
The smaller of the two sums (15+1; 5+3) is 5+3=8.
The least possible sum of a and b is 8.
<span>A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left</span>
Answer:
1/2
Step-by-step explanation:
There are a total of 25 students. 3 don't study art or biology. 10 study only biology. 6 study both art and biology. This means the remaining students only study art.
1. Calculate the number of students taking art
only art: 25 - 3 - 6 - 10 = 6
number of students taking art and biology: 6
total number of students taking art: 12
2. Calculate the probability
Out of the 12 total students taking art, 6 are in art and biology.
6/12 = 1/2
Answer:
wy=root 5
maybe 30 and 60 degree
Step-by-step explanation:
