Answer:
∠A= 45°....
Step-by-step explanation:
To find ∠A first we have to find the length of side B by cosine law:
b^2 = a^2 + c^2 – 2 a c cos B
b^2=(2)^2 +(√3 + 1)^2 - 2(2)(√3 + 1) cos 60
b^2 = 6
Taking square root at both sides:
√b^2 = √6
b= 2.45
Now we can calculate ∠A by sine law:
b / sin B = a / sin A
2.45 / sin 60 = 2 / sin A
sin A= 2* √3/2 /2.45
sin A = 2√3/2 * 1/2.45
sinA = 2√3/ 4.9
sin A = 0.7069
sin A = 0.707
A=45°
Thus ∠A= 45°....
His pickup will need 2 gallons of gas
Answer:
Option C. cos70°
Step-by-step explanation:
we know that
If two angles are complementary, then the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
Remember that
Tow angles are complementary , if the sum of their angles is equal to 90 degrees
so
If A+B=90°
then
sin(A)=cos(B)
cos(A)=sin(B)
In this problem we have
A=20°
B=90°-20°=70°
therefore
sin(20°)=cos(70°)
cos(20°)=sin(70°)
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
22(1 + 4 + 9 + 16 +251 + 4 + 9 + 16 + 25 + 3636)
= 87362 units^2
