Answer:
The fraction will increase by 100%
Step-by-step explanation:
Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):
You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).
Answer:
The missing dimension, radius = 6.00 m
Step-by-step explanation:
We are given the following things:
Height of cylinder, 
= 15 m
Radius of cylinder, 
m (Labelled as 
)
Volume of cylinder, 
Please refer to the image attached for the dimensions of cylinder as given.
We know that the volume of a cylinder can be given as:
Where 
is the radius of cylinder
is the height of cylinder
Putting the values of 
:
Hence, The missing dimension, radius = 6.00 m
Answer:
3x - y = -7
Step-by-step explanation:
y = mx + b
m = deltay/deltax
m = (10 - 1)/[( 1 - (-2)]
m = 9/3 = 3
y = 3x + b
From (-2 | 1) we see that when x = -2, y = 1
Placing into the equation, in order to find b (y-intercept)
y = 3x + b
1 = 3(-2) + b
b = 7
y = 3x + 7 or 3x - y = -7
Answer:M=24
Step-by-step explanation:
Answer:
Rock D.
Step-by-step explanation:
We can assume that the force that the catapult does is always the same.
So, here we need to remember Newton's second law:
F = m*a
force equals mass times acceleration.
Where acceleration is the rate of change of the velocity.
So, if we want the rock to hit closer to the catapult, the rock must be less accelerated than rock B.
So, we can rewrite:
a = F/m
So, as larger is the mass of the rock, smaller will be the acceleration of the rock after it leaves the catapult (because the mass is in the denominator). So if we want to have a smaller acceleration, we need to choose a rock with a larger mass than rock B.
Assuming that the mass depends on the size, the only one that has a mass larger than rock B is rock D.
So we can assume that rock D is the correct option.
