Step-by-step explanation:
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Answer:
Area=36
Step-by-step explanation:
Area of rhombus: diagonal 1 x diagonal 2 divided by 2.
To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).
First, find the distance between -8 and 4 which is 12.
Next, find the distance between -1 and -7 which is 6.
12 x 6 =72
72/2=36
Answer:
Length = 12 inches
Width = 14 inches
Step-by-step explanation:
Formula for perimeter of a rectangle is;
P = 2(L + W)
Where;
L is length
W is width
We are told that the length is 2 inches shorter than its width. Thus;
L = (W - 2)
Thus,perimeter is now;
P = 2(W - 2 + W)
P = 2(2W - 2)
P = 4W - 4
We are told that the perimeter is 52. Thus;
4W - 4 = 52
4W = 52 + 4
4W = 56
W = 56/4
W = 14 inches
From L = (W - 2) ;
L = 14 - 2
L = 12 inches
Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,

Using Pythagoras theorem, we get



Taking square root on both sides, we get



The measure of missing side is 7.5 ft. Therefore, the correct option is D.
Answer:
34.22 liters
Step-by-step explanation:
Step one:
Given data
A car averages 28.5 miles per gallon of gasoline
How many liters of gasoline will be needed for a trip of 415 km
let us convert 415km to miles first
1 km is 0.621371 miles
415km is x miles
cross multiply we have
x= 415*0.621371
x=257.86 miles
Step two:
if 1 gallon of gasoline will cover 28.5 miles
the x gallons will cover 257.86 miles
cross multiply we have
28.5x= 257.86
divide both sides by 28.5
x= 257.86/28.5
x=9.04 gallons
Step three:
let us convert gallons to liters
1 gallon is 3.78541 liters
9.04 gallons will be x liters
cross multiply we have
x=9.04*3.78541
x= 34.22 liters