Answer:
Results are below.
Step-by-step explanation:
<u>First, we need to calculate the variable income per job:</u>
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First job= 450 - 150= 300
Second job= 675 - 150= 525
<u>Now, the hourly rate:</u>
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Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Do you want the whole solution simplified or the alternative form?
Can you choose multiple answers?
Hi there!
The formula for the perimeter of a rectangle is P = 2 (l + w).
We can simplify this formula so that we can find the solutions easier.
P = 40
40 = 2 (l + w)
divide both sides by 2
40/2 = l + w
20 = l + w
So the length + width has to equal to 20.
So your answers would be B , C , D.
Hope this helped! :)
