Answer:
Step-by-step explanation:
We know that the length is four times the width, so:
We also know the area, which is 324 m². The formula for area:
Insert the known values:
Solve for w. Simplify by removing parentheses:
Divide 4 from both sides to isolate the variable:
Find the square root of both sides:
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
Solve for l. Divide both sides by 9:
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
Insert values:
The perimeter is 90 m.
Answer:
Step-by-step explanation:
C. $2 million
Answer:
Step-by-step explanation:
To find the slope you can use the slope equation:
Let's define the terms in the equation:
y2 = 5
y1 = 7
x2 = 4
x1 = 8
Now, let's put these into the equation and solve:
Therefore, the slope is -1/2.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
<em />
Pemdas
parenthasees
(3/4-1/2)=(3/4-2/4)=1/4
5/4+4(1/4)^2
exponents
(1/4)^2=1/16
multiply
4(1/16)=4/16=1/4
we have
5/4+1/4=6/4=3/2=1 and 1/2
Answer:
b. Measure of Angle FEG = 70°, Measure of Angle HEG = 110°
Step-by-step explanation:
Angle FEG is adjacent and supplementary to the angle with the measure that we are given, Angle DEF, which measures 110 degrees.
We know that supplementary angles add up together to a total of 180 degrees.
So to find the measure of Angle FEG, we subtract the measure of Angle DEF from 180 degrees.
Measure of Angle FEG = 180 degrees - Measure of Angle DEF
Measure of Angle FEG = 180 degrees - 110 degrees
Measure of Angle FEG = 70 degrees
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Angle HEG is a vertical angle to the angle that we are given, Angle DEF, which measure 110 degrees. Since vertical angles are congruent, we know that the measure of Angle HEG is equal to the measure of Angle DEF, so Angle HEG measures 110 degrees, also.
Measure of Angle HEG = Measure of Angle DEF
Measure of Angle HEG = 110 degrees