V = (pi)r² h
v = (pi)5² h
v = 25(pi) h
take derivative with respect to h
dv/dh = 25(pi)
(dv/dt)*(dt/dh) = dv/dh
dv/dt is given to be 5 cm³
solved for dv/dh = 25(pi)
5(dt/dh) = 25(pi)
dt/dh = 25(pi)/5
dt/dh = 5(pi)
then the recipricol of dt/dh; we want to find dh/dt = 1/(5(pi))
A) Vertical angles are congruent: It is true. Vertical angles are called opposite angles, so they are congruent.
B) Angles with measures between 0- 90 degrees are complementary: It is false. Complementary angles are angles that the sum of their value is 90°
C) Straight angles are complementary: it is false. Straight angles are angles which value is 180°.
D) Angles with measure between 90 and 180 degrees are obtuse. This statement is true by definition
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Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Answer:
24 per day
Step-by-step explanation:
'x' = days, so since 24 is with x, the rate of change is 24
Answer: the bus would be used 30 times for the monthly costs to be the same.
Step-by-step explanation:
Let x represent the number of times in a month for which the bus must be used so the total monthly cost is the same with the book as it is without it.
The bus fare without a coupon book is $1.50. This means that the total monthly cost of using the bus for x times without a coupon book is 1.5x
A coupon book cost $30.00 and with the coupon book, the fare is reduced $0.50. This means that the total monthly cost of using the bus for x times with a coupon book is
0.5x + 30
For the monthly costs to be the same,
1.5x = 0.5x + 30
1.5x - 0.5x = 30
x = 30
