Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
Answer: Car B traveled 60 mph.
Step-by-step explanation:
A= B-15
A: (B - 15)(2 hr)=D
B: (B)(1.5)=D
Since B and A traveled the same distance you can plug in 1.5B for D.
2B - 30 = 1.5B
-1.5B +30 = -1.5B
——————+30—
2(0.5B) = 2(30)
B = 60 mph
Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Step-by-step explanation:
Since the triangles are similar, the ratio of their sides are equal.
And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,
Therefore,
AC = 16
A'C'= 8
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,
tanA = 
tanA'=
which means tanA= tanA'
The angles do not change.
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Answer: the cost of the car is $54600
Step-by-step explanation:
Let x represent the cost of the car.
She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be
20/100 × x = 0.2 × x = 0.2x
The remaining balance would be
x - 0.2x = 0.8x
She will pay the balance in 8 equal payments of $5460 each month. This means that
0.8x/8 = 5460
0.1x = 5460
Dividing the left hand side and the right hand side of the equation by 0.1, it becomes
0.1x/0.1 = 5460/0.1
x = 54600
Answer:
Mark has 18 shirts
Given that together they have 140 shirts.
x + 7x - 4 = 140
8x = 140 + 4
8x = 144
x = 144/8
x = 18
Joe has 122 shirts
7x - 4
7 × 18 - 4
126 - 4
= 122
