Answer:
The answer is "She cut a total of 42 pieces of pie".
Step-by-step explanation:
Given :
Total pie=
cut pie =
The number of pieces of the pie she has=?
Solve the mixed fraction value:
If she cuts the pieces into the entire pie, that is =
So, the equation is:
Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 =
=
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
<u>Given</u>:
It is given that KLM is a right triangle.
The measure of ∠M is 90°
The length of LK is 89, ML is 80 and KM is 39.
We need to determine the ratio that represents the tangent of ∠K.
<u>Measure of tan ∠K:</u>
The measure of tan ∠K can be determined using the trigonometric ratio.
Thus, we have;
From the figure attached below, the side opposite to ∠K is ML and the side adjacent to ∠K is KM
Hence, substituting the values, we get;
where ML = 80 and KM = 39.
Substituting, we get;
Thus, the ratio that represents the tangent of ∠K is
