Answer: Well if the number has no end it must be irrational same as sqrt of 2 or pi
Step-by-step explanation:
Our two binomials are (X-5)(X-7)
If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
Understanding the Question
This may not be the actual way that the US government prepares the CPI, but it will provide a comparison.
You can set up a proportion. The base number for the CPI is 38.8 in 1970. That number (38.8) has more than doubled to get to 82.4, which also tells us that there was inflation. What your parents and grandparents bought in 1970 went to double the amount in 1980. Gasoline certainly did that.
Givens
CPI in 1970 = 38.8
CPI in 1980 = 82.4
Eggs 1970 = 0.25
Edgs 1980 = X
Formula substitution and solution
CPI 1970 / CPI 1980 = cost of eggs 1970 / cost of eggs 1980
38.8/82.4 = 0.25 / x Cross multiply
38.8 * x = 0.25 * 82.4
38.8 * x = 20.625
x = 20.628 /38.8
x = 0.53 dollars of 53 cents.
53 cents in 1980 which is slightly double as predicted.
Footnote
As a matter of interest, my wife tells me that eggs now cost about 3.58 where we live. That's almost 7 times as expensive as they were in 1980. Something to think about. By the way, the price quoted is in Canada.
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use
r^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
