Answer:
Step-by-step explanation:
Given expression is,
To prove this identity we will take the right side of the identity,
![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since 
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Answer:
144
Step-by-step explanation:
320 ÷ 20 = 16
adults : children
11 : 9
9×16 = 144
Answer:
165
Step-by-step explanation:
Here we have to use the ratio.
Both earth and Pluto are in similar shapes.
To find the number of sphere the size of Pluto does it take to have the same volume, we need to divide the earth's volume by Pluto's volume.
= Earth's volume/Pluto's volume
= 4/3 π (6371)^3 ÷ 4/3 π (1161)^3
Cancelling out 4/3 π both in the numerator and in the denominator, we get
= (6371)^3 ÷ (1161)^3
= 258596602811 ÷ 1564936281
= 165.24
Approximately 165 spheres the size of Pluto to cover the earth volume.
Thank you.
Answer:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Step-by-step explanation:
,
Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
