Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
A divide by sin A = b divide by sin B
1. 27 divide by sin 68=22 divide by sin x
Sin x=sin 68 times 22 divide by 27
Sinx=0.65696
X=71.7 degrees
Answer:
10*(9-5)
Step-by-step explanation:
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet