Answer:
Step-by-step explanation:
Let J = Jerry's age
Let M = Mary's age = 2J
M - 16 = J + 16
Substitute 2J for Mary's age
2J - 16 = J + 16
2J - J - 16 = 16
J = 16 + 16
J = 32
Jerry is 32.
Mary is twice as old as Jerry.
Mary is 2(32) = 64
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
112
Step-by-step explanation:
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds
2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.
Answer : The area of sector is, 
Step-by-step explanation :
Formula used to calculate the area of sector in degree is:
Area of sector = 
where,
= angle = 
r = radius = 25 mm
Now put all the given values in the above formula, we get:
Area of sector =
Area of sector = 
Area of sector =
Therefore, the area of sector is,
