Answer:
11232000 plates can be made.
Step-by-step explanation:
The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 digits from a set of 10(there are 10 digits from 0 to 9).
3 letters from a set of 26. So
Total:
11232000 plates can be made.
Answer: here
Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
hope it helps
Answer:
Step-by-step explanation:
5/6 + 1/8 + 3/4 = 1 17/24
Option A is the correct answer
Answer:
5 units
Step-by-step explanation:
An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:
2L + B = 14 units
Where:
L is the measure of one leg
B is the measure of the base
Since two legs are the same and the base is 1 less, this means the measure of each leg would be:
B = L -1
Now we have two equations:
2L + B = 14 units
B = L- 1
We plug one equation into the other and make 1 equation:
2L + (L-1) = 14 units
Get rid of the parentheses:
2L + L - 1 = 14
Combine like terms:
3L - 1 = 14
Add 1 to both sides of the equation:
3L - 1 + 1 = 14 + 1
3L = 15
Divide both sides by 3:
3L/3 = 15/3
L = 5
So the length of a leg is 5 units
Let's check!
B = L - 1
B = 5 - 1
B = 4
Then we use that to solve for the perimeter:
2L + B
2(5) + 4
10 + 4 = 14
Answer:
A). 50 penny
B) This type of battery is cost effective.
Step-by-step explanation:
A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound
Since 1 pound = 100 penny
So 0.499 pound = 100×0.499 = 50 penny
B). A pack of 6 batteries of the same type costs 2.79 pounds
So one battery will cost = 2.79/6 = 0.465 pound or 47 penny
Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.
