The area of the parallelogram is 55 square feet
<h3>How to determine the area of the parallelogram?</h3>
From the figure, we have the following dimensions:
Height = 5 ft
Base = 11 ft
The area of the parallelogram is calculated as:
Area = Base * Height
This gives
Area = 5ft * 11ft
Evaluate the product
Area = 55 square feet
Hence, the area of the parallelogram is 55 square feet
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Answer:
17.1972degrees
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Substitute the given angle;
1.2 = theta/360 * 2(3.14)(4)
1.2 = theta/360 * 25.12
1.2/25.12 = theta/360
0.04777 = theta/360
theta = 360 * .04777
theta = 17.1972
Hence the required angle is 17.1972degrees
Answer:
$20,000
Step-by-step explanation:
You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:
2.5%(car price) = $500
car price = $500/0.025 = $20,000
__
If you prefer, you can get there with equations.
At Job 1, the pay is ...
y = 10%×(car price)
At Job 2, the pay is ...
y = 7.5%×(car price)
Setting the equal (the two opportunities pay the same), we have ...
0.10(car price) = 500 +0.075(car price)
0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)
car price = 500/0.025 = 20,000 . . . . divide by 0.025
Jim would have to sell a $20,000 car each week for the jobs to pay the same.
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by
, where x is the number of years.
Since, 
i.e.
.
Therefore, the monthly growth rate function becomes,
i.e.
.
i.e.
.
Hence, the monthly growth rate is i.e.
.
Also, the growth factor is given by
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
A^2 - b^2 = (a-b)(a+b)
To test it, expand the right hand side.