Answer:
The measure of the complement is 30°
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Two angles are complementary if their sum is equal to 90 degrees
Let
x -----> the measure of an angle
we know that
180°-x=4(90°-x)
Solve for x
180°-x=360°-4x
4x-x=360°-180°
3x=180°
x=60°
Find the complement
90°-x=90°-60°=30°
Answer:
The costs of the plan are $0.15 per minute and a monthly fee of $39
Step-by-step explanation:
Let
x ----> the number of minutes used
y ----> is the total cost
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(100,54) and (660, 138)
substitute
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
Isolate the variable y
therefore
The costs of the plan are $0.15 per minute and a monthly fee of $39
-3z + 7 = -7 - 10z
Add 10z to both sides
7z + 7 = -7
Subtract 7 from both sides
7z = -14
Divide by 7
Z = -2
Answer:
The answer is D
Step-by-step explanation:
f(x) = 3x² - 12x + 4
f(-2) = 3(-2)² - 12(-2) + 4
= 12 + 24 + 4
= 40
The formula for an area of a regular parallelogram is:
A = l * w
Where,
l = length
w = width
We are given that the total measurement of fence is only
60 feet and one side of the house is used as one side of the pen. Therefore,
l + 2 w = 60
<span>or simplifying to make an explicit expression for
one variable, say l:</span>
l = 60 – 2 w
<span>Substituting to the 1st equation:</span>
A = (60 – 2 w) * w
A = 60 w – 2 w^2
<span>The maxima are obtained by getting the 1st
derivative then equating dA/dw = 0:</span>
dA/dw
= 60 – 4 w
60 –
4 w = 0
4 w
= 60
w =
15
Since
l = 60 - 2w
l =
60 – 30
l =
30
<span>Therefore
the dimension that will make the largest pen is 15 ft by 30 ft.</span>
<span>ANSWER: C</span>
