Answer:
The skaters are 2.5 feet apart
Step-by-step explanation:
Firstly, please check attachment for diagrammatic representation.
To calculate the distance apart, this is same as the length PJ
To calculate this length, we can use the cosine rule as follows;
O^2 = P^2 + J^2 -2(P)(J)Cos 15
O^2 = 7^2 + 5^2 -2(7)(5)Cos 15
O^2 = 49 + 25 - 70Cos15
O^2 = 74 - 67.61
O^2 = 6.39
O = √6.39
O = 2.53
O = 2.5 feet to the nearest tenth of a foot
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
Step-by-step explanation:
-3 +2 +-1 +-2 +-3 +1 = -6 yards total
-6 / 6 = -1 yard per play average
Answer:
The conclusion is valid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
If you follow our program, you will lose weight. You are not following our program if you do not lose weight.
Here the second statement is the contrapositive of the first statement.
Let x is the number of person who does not lose weight, and this person is outside the bigger circle, this person is also outside the small circle.
Therefore, the conclusion is valid.
The required diagram is shown below:
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
<h3>How to calculate the value?</h3>
From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
Learn more about equations on:
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