Area of a rectangle of length L and width W is A = LW.
Here, A = 60 ft^2 = (12 ft)(2x-3 ft). Let's find the values of x for which the area =60 ft^2, and then the values of x for which the area is greater than 60 ft^2.
60 = 12(2x-3) becomes 5 = 2x - 3 after dividing both sides by 12.
Adding 3 to both sides of this last equation results in 8 = 2x, so x = 4.
Does (12 ft)(2[4 ft] - 3) = 60? Does (12 ft)(5 ft) = 60 sq ft? YES.
The area of this rectangle will be greater than 60 sq ft if x>4 ft. (answer)
Distance of the person from the building (x)
tan 24 = 20/x => x = 20/tan 24 = 44.92 ft
The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.
Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
Step One
Find the area of the rectangle
Area = L * W
Area = 89 cm * 70 cm
Area = 6230 cm^2
Step Two
What is the formula for the two end semicircles?
Two semicircles = 1 whole circle
Area of any circle = pi * r^2
Step Three
Find the area of the circle
r = the width / 2 This may not be true. You need the diagram. If the circles are drawn on the length then use r = the length / 2
r = 70/2 = 35 cm
Area of circle = pi * r^2
Area of circle = 3.14 * 35^2
Area of circle = 3846.5
Step Four
Find the total area
The total area = Area of the rectangle + area of circle
The total area = 6230 + 3846.5
The total area = 10076.5 cm^2 <<<< Answer
Answer:
<u>Option A) 19 to 25</u>
Step-by-step explanation:
In the last election, 72% of the voters were in favor of a new outlet mall and
28% were against it.
Vanessa creates random samples of the voters using the numbers 1 to 25.
So, There are 25 numbers to represent all the voters
The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7
So, <u>7 numbers only</u> could be used to represent the voters who were against the new outlet mall.
Check the options to find which range has only 7 numbers.
A) 19 to 25 ⇒ 7 numbers
B) 7 to 18 ⇒ 12 numbers
C) 15 to 25 ⇒ 11 numbers
D) 1 to 18 ⇒ 18 numbers
The answer is <u>option A) 19 to 25</u>
Answer:
1 kilometer = 0.621371 mile
mile = kilometer * 0.621371
Step-by-step explanation: