Answer:
if ∠ABC = 180°,
then, 2x∠ADC = ∠ABC ( angles subtended by an arc at the center is double the angle subtended it at any point on the remaining part if the circle)
{ please read the theorem carefully as i know u wont be able to understand it at first try :) }
therefore ∠ADC = 90°
Answer:
4 m
Step-by-step explanation:
The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...
b² + 7.5² = 8.5²
b² + 56.25 = 72.25
b² = 16 . . . . . . . . . . . . . subtract 56.25
b = 4 . . . . meters . . . (take the square root)
The base of the ladder is 4 m from the wall.
_____
You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.
Answer:
8
Step-by-step explanation:
The lateral area of a cone is ...
LA = (π/2)ds
where d is the diameter, and s is the slant height.
The area of this tower roof is about ...
LA = (π/2)(12 ft)(13 ft) = 78π ft² ≈ 245 ft²
About 245/32 = 7.7 bundles of shingles will be required for coverage.
You should buy 8 bundles of shingles to cover the roof.
Answer:
Step-by-step explanation:he amount of simple interest earned on an investment can be determined ... For example, for an annual interest rate of 5% compounded monthly, ... Rank these rates from greatest to least return on an investment of $20000 for a term of 2 years. ... savings account and invested the entire amount in a 10 year GIC that earned ...
Answer:
We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.
We need to find number of euros for 1 U.S. Dollar.
Plugging d=1 in the given equation
We get
e=\frac{17}{20}(1)
On simplfying , we get
e=\frac{17}{20}
Dividing 17 by 20, we get 0.85.
Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.
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Step-by-step explanation: