The height of the smaller can would need to be 12.8 cm.
First find the volume of the larger can of paint. The volume of a cylinder is given by the formula
V=πr²h
Using the dimensions of the larger can, we have
V = 3.14(8²)(20) = 4019.2
Since he has 1/4 of this can, divide the volume by 4:
4019.2/4 = 1004.8
We will use this as the volume of the smaller can. Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
Answer:option B & D are correct
Step-by-step explanation:
Given options are
A B C D E
Tether ball pole shadow 1.35 1.8 3.75 0.6 2
Flagpole shadow 3.4 4.08 8.35 1.36 4.8
Ratio of corresponding height & shadows should be same
3 meter tall tether ball pole and a 6.8 tall flagpole
=> Ratio = 6.8/3 = 68/30 = 34/15
A - 3.4/1.35 = 340/135 ≠ 34/15( 306/135)
B - 4.08/1.8 = 408/180 = 34/15 = 34/15 ( Correct option)
C 8.35/3.75 = 835/375 = 167/75 ≠ 34/15( 170/75)
D 1.36/0.6 = 136/60 = 34/15 = 34/15 ( Correct option)
E 4.8/2 = 48/20 = 12/5 = 36/15 ≠ 34/15
option B & D are correct
In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,
And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is
We need to do
Substituting the values of the two functions, we will get
Adding 2 to both sides
Cross multiplication
So the input value is 3.3 approx
Answer:
The value that is greater than 45% of the data values is approximately 137.84.
Step-by-step explanation:
The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.
We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:
The critical z value (from z-score table, online) is: -0.12, so:
The value that is greater than 45% of the data values is approximately 137.84.
The correct answer is choice D. If you put choice D into words, it is saying 30% (0.3) of the total is 12 minutes.
To solve this, use inverse operations.
<span><u>0.3m</u> = <u>12</u>
</span>0.3 0.3
m = 40
It will take Beck 40 minutes.
