Answer:
1) 188.4 in³
2)306 in³
3)210in³
Step-by-step explanation:
1) r = 5in h = 12in
5 * 12 * 3.14
2) L = 3 W = 8.5 H = 12
3 * 8.5 * 12
3) 
( B = 5 W = 7 H = 12)
.5(5 * 7 * 12)
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 1 → (1)
x + 4y = - 6 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = - 6 - 4y → (3)
Substitute x = - 6 - 4y into (1)
2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side
- 12 - 8y - 3y = - 1
- 12 - 11y = - 1 ( add 12 to both sides )
- 11y = 11 ( divide both sides by - 11 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 6 - 4(- 1) = - 6 + 4 = - 2
Solution is (- 2, - 1 )
Answer:
D) 40 miles
Step-by-step explanation:
First we must find the distance between the mall and the house. The figure formed is a right triangle. The length of the side from the mall to the house forms the hypotenuse of the triangle. We can use the Pythagorean theorem to find the length:
a² + b² = c²
The two legs of the triangle, a and b, are 15 and 8:
15² + 8² = c²
225 + 64 = c²
289 = c²
Take the square root of each side:
√289 = √(c²)
17 = c
This makes the total distance
15+8+17= 40 miles
Answer:
6.3333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
19/3=6.3333333333333333333333333
Answer:
r = 4.5%
Step-by-step explanation:
Formula:
I = Prt
r = I/(Pt)
Given:
I = 662.29
P = 4205
t = 3.5
Work:
r = I/(Pt)
r = 662.29/(4205 * 3.5)
r = 662.29/14717.5
r = 0.045
r = 4.5%
