1.403 > 1.1
1.1 = 1.100
1.403>1.100
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Answer:
52.5
Step-by-step explanation:
Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement
Now, m<B = 105°, since ABCD is a parallelogram, <B = <D
so, m<ADC = 105° so, m<ADE = 180°-105° = 75°
Now, m<EAD+m<AED+m<ADE = 180°
or, m<AED+m<AED+m<ADE = 180°
or, x+x+75°=180°
or, 2x=180+75°
or, 2x=105°
or, x=52.5°
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
<u>if they join together</u>:
- 3x + 2 + x = 10
- 4x + 2 = 10
- 4x = 10 -2
- 4x = 8
- x = 2
<u>Longer piece</u>:
Answer: $23,896
Step-by-step explanation:
In the year 2030, the number of years since the investment would be;
= 2030 - 2012
= 18 years.
As the question does not mention that the interest paid is compounded, simple interest will be used;
= Amount + (Amount * interest rate * number of years).
= 14,500 + ( 14,500 * 0.036 * 18)
= $23,896