This problem can be completed in 2 ways. Both are acceptable.
Option 1:This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.
The area of one of the triangles is half the base times the height.
The other triangle must have that area too.
The area is 56 square centimeters.
Option 2:We can use the area formula for the trapezoid.
Where
is the length of the shorter base
and
is the length of the longer base
and
is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.
Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d = 
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d =
d = 
= 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
Answer:
Rayshawn originally had $30.
Step-by-step explanation:
i) Rayshawn has a certain amount of money. Let us say this amount is $x.
ii) Rayshawn spends $20 which means that he is left with $(x - 20)
iii) it is also given that amount of money left after spending $20 is 
of the original amount, $x, the amount remaining is 
.
iv) from the information given in ii) and iii) we get
$(x - 20) = , Therefore we get 3x - 60 = x , therefore 2x = 60,
Therefore x = $30. Rayshawn originally had $30.
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
Answer:
The actual area of the park is 21,600 miles square.
Step-by-step explanation:
<u>Step 1: Calculate the area of the park</u>
<em>Area of rectangle = Length x width</em>
Length = 4 inches
Width = 6 inches
Scale factor is given as, 1 inch = 30 miles.
So, converting the length and width in miles by using the scale factor, we get
Length = 4 * 30 = 120 miles
Width = 6 * 30 = 180 miles
The formula of finding the area of an rectangle is:
<em>Area = length x width</em>
By putting the values in equation, we get
Area = 120 x 180
Area = 21,600 miles square
Therefore, the actual area of the park is 21,600 miles square.
