Answer:
Below.
Step-by-step explanation:
a. Volume = area of triangular side * length
1/2 * 3 * 4 * 8
= 48 cm^3.
Surface area = 2 * area of the triangle + area of sloping side+ area of the base + area of the back side
= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8
= 12 + 40 + 24 + 32
= 108 cm^2.
b. Volume = area of the triangular side * length
= 1/2 * 5.0 * 5..0 * 8.2
= 12.5 * 8.2
= 102.5. cm^3.
Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee
= 2 * 1/2 * 5^2 + 2 * 5 * 8.2 + 8.2 * 7.1
= 25 + 82 + 58.22
= 165.22 cm^2.
Answer:
1/12
Step-by-step explanation:
<u>Needed information</u>

The sum of the probabilities of all outcomes must equal 1
<u>Solution</u>
We are told that the probability that the counter is <em>not</em> black is 3/4.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:


We are told that the probability that the counter is <em>not </em>white is 2/3.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:


We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

So its asking for basically the percentage of the first number out of the second.
3. 25/50 = 50%
4. 125/75 = 167%
5. 32/28 = 114%
6. 7/10 = 70%
Hope this helped! :)
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.


is in the numerator. It is defined for every value of x. There is no problem there.

is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.



For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
Answer:
3-10-(15) equals 8.
Step-by-step explanation:
3-10 equals -7. Then -(-15) becomes a positive because two negatives make a positives producing +15 so it becomes -7+15 which finally becomes 8.