Answer:

Step-by-step explanation:
We have:
(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm
(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.
The formula of an area of a trapezoid:

Substitute:

Calculate the areas of the rectangles:

The Surface Area:

These two are true:
<span>Area of ABC = a × b × sinC
Area of ABC = × c × b × sinA
</span>
Answer:
6.75 hour is approximated to 7 hours
Step-by-step explanation:
Given
Time = 6.75 hours
Required
Round to the nearest hour
The time given is given in base 10 and the conversion can be done in two ways.
1. Convert directly by approximation.
Approximating 6.75 to the nearest whole number gives 7.
Hence, 6.75 hours = 7 hours
2. Convert to time equivalent then approximate time
This is done as follows

Convert decimal to fraction

Simplify to lowest term

Convert hour to minute
There are 60 minutes in an hour



The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1
Going by the rule, 45 minutes will be approximated to 1 hour.
This gives


Hence, 6.75 hour is approximated to 7 hours
Answer:
2,750+170d
Step-by-step explanation:
Calculation to Enter and simplify an expression for the amount in dollars that the company is paid
First step
Let d represent numbers of day
15(100+3d)
Second step is the Expression for the food booths
25(50+5d)
Third step is Expression for the game booths
15(100+3d)+25(50+5d)
Fourth step is the Expression for both game and food booths
15*100+15*3d+25*50+25*5d
=1,500+45d+1,250+125d
Fifth step is to make use of distributive Property
1,500+1,250+45d+125d
Last step is to make use of cumulative property
(1,500+1,250)+(45d+125d)
=2,750+170d (combine like terms)
Therefore expression for the amount in dollars that the company is paid is 2,750+170d