Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
Answer:
2 ( 24 ) + 2 a = 215
Step-by-step explanation:
Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,
24 + 24 + a + a = 215
<h3>
Answer: Choice C</h3>
Explanation:
As the person spends more time raking, the number of leaves will go down. Therefore, we have a negative correlation. Such correlations occur when one variable goes up while the other goes down (and vice versa).
The reason why it's considered negative correlation is because the regression line has a negative slope.
This is why choice C is the answer. This assumes that no extra leaves fall on the ground, and we assume that we don't have nearby leaves blow into the yard.
In contrast, something like choice A has both variables go up together. As the temperature rises, so does the ice cream sales. The same goes for choice B. We consider these cases to have positive correlation. Choice D doesn't appear to have any correlation at all. The person's height doesn't have any connection to the number of pets they may have.
Answer:
About 5.5% decrease
Step-by-step explanation:
Here, we want to calculate the percentage increase or decrease and its value.
The first thing to do here is to check if we are going to have a decrease or an increase.
since the value before the change is higher than the value after the change, then what we have is a decrease.
Mathematically, the percentage decrease is calculated as follows;
% decrease = (old value - new value)/old value * 100%
old value = 163 feet
new value = 154 feet
% decrease = (154-163)/163 * 100%
% decrease = -9/163 * 100%
% decrease = -5.52%
Thus the best answer is about 5.5% decrease
Answer: 3 = −12 and x = -23
Step-by-step explanation: = −4