Answer: She has 1 5/6 exercises for homework.
Step-by-step explanation:
1/2 + 2/3 = 1 1/6
2 * 3 = 6 3 * 2 = 6
1 * 3 = 3 2 * 2 = 4
4 + 3/ 3 + 3
7/6 = 1 1/6
So, she finished 1 1/6 of her problems.
3 - 1 1/6 = 1 5/6
3 - 1 = 2
2 - 1/6 = 1 5/6
Answer:
Step-by-step explanation:
<h3>Part B</h3>
Assumed the dimensions of the top and bottom parts are identical.
Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:
- h = 1.8 cm - 0.3 cm = 1.5 cm
<h3>Part C</h3>
Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.
- V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
- V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³
<u>Total sand in the bottom part:</u>
<u>Time taken:</u>
- 12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds
A: To find the rate in feet per minute, we can use the information given.
Every two minutes, the submarine dives 300 feet. So

.
In order to confirm that our rate is correct, we can use the second set of information given.

=

.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.

There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
Answer:
Subtract 5 from each side
Step-by-step explanation:
This would put all coefficients on one side.
Answer: Choice B
A net is shown with a pentagon in the middle and 5 identical triangles on the 5 sides of the pentagon
The pentagon forms the base of the pentagonal pyramid. Each lateral side is a triangle that meets at the very top of the pyramid. The base stays on the floor while the sides are folded up.
---------------------------
There are other possible net configurations to form a pentagonal pyramid, but the other answer choices do not make a pentagonal pyramid.
- Choice A produces a square pyramid.
- Choice C makes a triangular pyramid (aka tetrahedron).
- Choice D makes a hexagonal pyramid.
So we can rule choices A, C and D out.