Answer:
The actual mass of the book is between 481 . 5 g and 418 . 5 g.
Step-by-step explanation:
The mass of the book on the scale = 450 g
The percentage error in the scale = 7%
So, the actual mass of the book is 450 g ± 7%
Now, 7 % of the mass 450 g = ![\frac{7}{100} \times 450 = 31.5](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B100%7D%20%20%5Ctimes%20450%20%3D%2031.5)
⇒ 7% of 450 g = 31.5 g
Now, the Actual mass of the book = 450 g ± 31.5 g
450 g + 31.5 g = 481 . 5 g
450 g - 31.5 g = 418 . 5 g
Hence the actual mass of the book is between 481 . 5 g and 418 . 5 g.
The value of x in the given equation is ![-\frac{4}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B5%7D)
From the question,
We are to solve the given equation
The given equation is
![log_{6}(36) = 5x +6](https://tex.z-dn.net/?f=log_%7B6%7D%2836%29%20%3D%205x%20%2B6)
This becomes
![log_{6}(6^{2} ) = 5x +6](https://tex.z-dn.net/?f=log_%7B6%7D%286%5E%7B2%7D%20%29%20%3D%205x%20%2B6)
From one of the laws of logarithms, we have that
![log_{x}(x^{2} ) = 2log_{x}(x)](https://tex.z-dn.net/?f=log_%7Bx%7D%28x%5E%7B2%7D%20%29%20%3D%202log_%7Bx%7D%28x%29)
and
![log_{x}(x) = 1](https://tex.z-dn.net/?f=log_%7Bx%7D%28x%29%20%3D%201)
∴
becomes
![2log_{6}(6) = 5x +6](https://tex.z-dn.net/?f=2log_%7B6%7D%286%29%20%3D%205x%20%2B6)
and
![2(1)= 5x +6](https://tex.z-dn.net/?f=2%281%29%3D%205x%20%2B6)
![2 = 5x +6](https://tex.z-dn.net/?f=2%20%3D%205x%20%2B6)
Now, subtract 6 from both sides
![2-6 = 5x +6-6](https://tex.z-dn.net/?f=2-6%20%3D%205x%20%2B6-6)
![-4 = 5x](https://tex.z-dn.net/?f=-4%20%3D%205x)
∴ ![x = -\frac{4}{5}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B4%7D%7B5%7D)
Hence, the value of x in the given equation is ![-\frac{4}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B4%7D%7B5%7D)
Learn more on solving equations here: brainly.com/question/11802986
The two equations given in the question are
y = - x + 5
and
5x + 2y =14
Now we will have to put the value of y from the first equation in the second equation and then calculate.
5x + 2y = 14
5x + 2(-x + 5) = 14
5x - 2x + 10 = 14
3x = 14 - 10
3x = 4
x = 4/3
Now we have to put the value of x in the first equation for determining the value of y
y = - x + 5
= - (4/3) + 5
= (15 - 4)/3
= 11/3
So the value of x is 4/3 and the value of y is 11/3.
So in order to compare, the measurements have to same units. So lets convert everything to feet.
George 2 yds = 6 ft Kelsey 68 inches = 5 ft 8"
Mariah 5 feet Brian 5 ft 10 "
George measured the tallest at 6'
Hope this helped.
A) x° = 110/2 = 55°
b) x° = (88+86)/2 = 87°
c) x° = (90-20)/2 = 35°