Answer:
66.67 %
Step-by-step explanation:
The surface area of a cake (cylinder) = 2πr² + 2πrh
but since we are not including bottom for chocolate cake so the formula changes to = 2ℎ+²
<h3>
S.A of cake </h3>
πr² + 2πrh
π4² + 2π(4)(4)
16π + 32π
48π inches
<h3>
S.A of chocolate</h3>
2ℎ+²(top)
24(2) + (4)²
16 + 16
32 inches
Percentage of cake that is chocolate = S.A of chocolate/S.A of cake * 100%
Percentage of cake that is chocolate = 32 inches/48π inches * 100%
Percentage of cake that is chocolate = 66.67%
(Assuming that top of chocolate is included)
Answer:
Step-by-step explanation:
Area of a parallelogram is given as the multiplication of its length by that of its height or breadth, however you call it.
In this question, you didn't state the length nor the breadth or height. You just listed the answers. It's very hard knowing the answer without having its dimensions. However, I can tell you that on the diagram or drawing you have there with you, multiply the two distance given to you together, it ought to give you one of the four options you listed above. Be it 168, 140, 130 or even 120 square inches.
Answer: The answer is:
d=220, b=300
Step-by-step explanation:
You could solve this problem using a series of equations:
d+b=520
b-80=d
How I solve this is:
If d+b=520, you could divide 520 by 2 and say that d and b's average is 260 (though that is not their value).
Then , you know that the difference between them is 80. Since the average is 260, you could add half of 80 (which is 40) and subtract the same to get 220 and 300, which, as you can see, have a difference of 80 and add up to 520. Now you have to find out which is which.
Since 80 fewer tickets were purchased at the door than before the concert (d+80=b (the second equation)), you know that the number of tickets at the door is the lesser number, making the answer:
d=220, b=300
First, break up the entire thing into smaller rectangles then find the area of all of those rectangles and add them together to get 30 square feet.
Answer:
The answer is <em>1</em>.
Step-by-step explanation:
Given the expression:

To find:
The expression without absolute value.
Solution:
First of all, let us learn about the absolute value function:

i.e. value is x if x is positive
value is -x if x is negative
Here the given expression contains two absolute value functions:
and 
Using the definition of absolute value function as per above definition.


Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6
So, given expression
will be equivalent to :

So, the expression is equivalent to <em>1</em>.