Answer:
70.1 yards
Step-by-step explanation:
See the attached diagram.
Let AC is the reservoir with A as the bottom and C is the top.
Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.
Again, the angle elevation from B to C is 50 degrees.
So, ∠ ABC = 50°
Now,
⇒ x = 109 cos 50 = 70.1 yards.
Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)
Answer:
4cube×acube×b power 6
sorry if you don't understand
Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
Answer:
Upward, x intercept is (2,0) , y intercept is (0,1), axis of symmetry is 2, vertex is (2,0)
Step-by-step explanation:
Answer:
-60
Step-by-step explanation:
The objective is to state whether or not the following limit exists
.
First, we simplify the expression in the numerator of the fraction.
Now, we obtain
and the fraction is transformed into
Therefore, the following limit is
You can plug in in the equation, hence