Answer:
The length of each blue trim is 17.2 inches
Step-by-step explanation:
Given
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Required
The length of each blue trim
Since all 4 triangles are equal, then the dimension of 1 triangle is:
The hypotenuse (x) of the triangle blue trim is represented by the blue trim
So:
This gives
Take square root
Answer:
v=16/3
Step-by-step explanation:
3(2v-9)=5
Multiply 2v and -9 with 3
6v-27=5
Add 27 to both sides
6v=32
Divide both sides by 6
v=16/3
Answer:
1980 total outcomes are possible.
Step-by-step explanation:
The order in which the candidates are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many total outcomes are possible?
2 men, from a set of 11.
2 women, from a set of 9.
So
1980 total outcomes are possible.
Domain refers to all of the x-values that satisfy the line, and the range refers to all of the y-values that satisfy the line.
Since t corresponds to the x-ordinates, then the domain becomes:
0 ≤ t ≤ 6
and the range becomes:
0 ≤ v ≤ 150
In short, the answer is (A)
In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
= 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
= 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
= 35.79 dollars
