Answer:
58.1 and 31.9 degrees
Step-by-step explanation:
x + other angle = 90 because complementary angles add up to 90
x = the angle
x = 26.2 more than the other angle
subtract 26.2 from both sides
x - 26.2 = other angle
x + other angle = 90
plug x - 26.2 for other angle
x + (x-26.2) = 90
2x - 26.2 = 90
add 26.2 to both sides to isolate the variable and its coefficient
2x = 116.2
divide both sides by 2 to find x
x = 58.1
other angle = x - 26.2 = 31.9
Answer: The answer is eight hours and algebraic algebraic expression is 8x+17
Step-by-step explanation:
Answer:
x is the number of $1 increase in the price.
If there is no increase, then the total money earned is
2 × 70 = 140
If there is $1 increase, then the total money earned is
(2 + 1) × [70 - 8(1)]
If there is $2 increase, then the total money earned is
(2 + 2) × [70 - 8(2)]
If we continue the pattern, for x times $1 increase, total money earned is
(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140
If we substitute x = 0 in the above equation, we will get
the total money earned = $140.
It means if there is no increase, then the total money earned = 140.
Hence, 140 is the constant term and it represents that there is no increase in price.
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
The actual mural will be 15 feet tall.
To find the height of the mural, we first need to find the scale by dividing Jerome's scale drawing's measurements from the mural's measurements.
Before we do that, we need to make sure our units are the same. Jerome's scale drawing is measured in inches, and the mural is measured in feet. To keep the numbers whole, I'm going to convert the mural's width from feet to inches by multiplying it by 12.
20 × 12 = 240
Now that our units are the same, we can divide Jerome's scale drawing's width from the mural's width to find the scale.
240 ÷ 12 = 20
The scale of Jerome's scale drawing to the mural is 1:20. This means that the mural's measurements are 20 times Jerome's scale drawing.
Now, to find the height, or how tall the actual mural will be, you multiply the height of Jerome's scale drawing, 9 inches, by the scale, 20.
9 × 20 = 180 inches
Since the question is asking how tall the mural will be in feet, you divide 12 from 180 to find the number of feet in 180 inches.
180 ÷ 12 = 15 feet
The actual mural will be 15 feet tall.
