Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
Answer:
D. ![\sqrt[3]{5^7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%5E7%7D)
Step-by-step explanation:
The formula for this conversion is:
![a^\frac{x}{n}=\sqrt[n]{a^x}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bx%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ex%7D)
Substitute the values you currently have.
![5^\frac{7}{3}=\sqrt[n]{a^x}](https://tex.z-dn.net/?f=5%5E%5Cfrac%7B7%7D%7B3%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ex%7D)
Since we know that
a = 5
x = 7
n = 3
Fill the square root with this.
![5^\frac{7}{3}=\sqrt[3]{5^7}](https://tex.z-dn.net/?f=5%5E%5Cfrac%7B7%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B5%5E7%7D)
Your answer would be x = 3.0645
CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609
Hope this helps!
So in short your answer is x = 3.0645
Answer:
50° and 130°
Step-by-step explanation:
∠1 is a chord- chord angles and is calculated as
∠1 = 0.5( arc RQ + arc ST) = 0.5(53 + 47)° = 50°
∠1 and ∠2 form a straight angle and are supplementary, hence
∠2 = 180° - 50° = 130°
