Net A is the correct net.
The surface area of the prism is 72 in squared
SA= 1/2bhH
SA= (0.5)(4)(5)(7.2)
SA= 72 in. squared
Answer:
370 peanuts
Step-by-step explanation:
65/108 = 0.60185
90/150 = 0.6000
In each case, the number of peanuts is either exactly or very close to 60% of the volume.
A cylinder with radius 3.5 cm and height 16 cm has volume:
V = (pi)r^2h
V = (3.14159)(3.5 cm)^2(16 cm)
V = 615.752 cm^3
We take 60% of the volume to estimate the number of peanuts.
60% * 615.752 cm^3 = 369.451
Answer: 370 peanuts
Answer:
1. 5/3 cm
2. 10 in
Step-by-step explanation:
1. The length of a rectangle is 4 cm more than 3 times its width.
Let the length be L and the width B
Then,
L = 4 + 3B
If the area of the rectangle is 15 cm2
Area = LB = 15
B(4 +3B) = 15
3B² + 4B - 15 = 0
3B² - 5B + 9B - 15 = 0
B(3B - 5) + 3(3B - 5) = 0
(3B - 5)(B + 3) = 0
3B - 5 = or B + 3 = 0
B = 5/3 or -3
since B cannot be negative, B = 5/3 cm
2. The ratio of length to width in a rectangle is 2 ∶ 3.
Let the length be L and the width B
Then,
L/B = 2/3
2B = 3L, B = (3/2)L
when the area is 150 in2.
Area = LB = 150
(3/2)L² = 150
L² = 150×2÷3
L² = 100
L = √100
L = ±10
since the length cannot be negative, L = 10 in
Answer:
Step-by-step explanation:
<em>Vertical angles are equal as per definition.</em>
- ∠E and ∠F are vertical angles
- m∠E = 9x+12 and m∠F = 3x+24
- x = ?
<u>Solution</u>
- 9x+12 = 3x+24
- 9x - 3x = 24 - 12
- 6x = 12
- x = 2
Answer:
The system has infinitely many solutions
Step-by-step explanation:
There are no variables left. And the final equation is correct.
It means the system is going to be correct for any value of variables. So there are infinitely many solutions
