Answer:
105
Step-by-step explanation:
subbing x for 7:
3*7(7-2)=21*5=105
Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) = ![\frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Barc%20FC%7D%29-m%28%5Ctext%7Barc%7D%29FD%5D)
(15 + 6x)° = ![\frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%2824x%20-%206%29%5E%7B%5Ccirc%7D-%289%2B7x%29%5E%7B%5Ccirc%7D%5D)
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
Step-by-step explanation:
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
=>27x = 36 * 18
=> x = 24
So 24 days will be required to get work done by 27 men..
Answer:
The arc is one-third of the circumference.
Step-by-step explanation:
The area of a circumference = 2πr
C = 2πr ... (1)
If an arc subtends a central angle measuring 2π/3 rad,
The length of the arc = rθ
Given θ = 2π/3
Length of the arc L = r(2π)/3
L = 2πr/3... (2)
L = 1/3(2πr)
Since C = 2πr
L = 1/3C
This shows that the arc is one-third of the circumference.
Step-by-step explanation:
b and c
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