Answer:
Part A: m+1.37=7.9
Part B: 6.53 miles are left to be repaired.
Step-by-step explanation:
Given,
Length of repaired part = 1.37 miles
Total length to be repaired = 7.9 miles
Miles left to be repaired = m
Part A:
Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.
Miles left to be repaired + Length of repaired part = Total length to be repaired
m+1.37=7.9
Part B
How many miles are left to be repaired?
Subtracting 1.37 from both sides
6.53 miles are left to be repaired.
Keywords: length, subtraction
Step-by-step explanation:
Answer: 7.0
Step-by-step explanation: Tan 29 = x/8 than you multiple 8 by tan 29 and you will get 7.0
Answer:
Around 24 degrees
Step-by-step explanation:
*Make sure calculator is on degree mode*
Try to draw out triangle--it helps
Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7
![\frac{sin\alpha }{4} = \frac{sin90}{9.7}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%5Calpha%20%7D%7B4%7D%20%3D%20%5Cfrac%7Bsin90%7D%7B9.7%7D)
Multiply 4 and sin90 and then divide the product by 9.7
Use
on calculator to convert the answer into degrees
Full box=180 calories
C(x)=number of calories
x=number of mints
therefor
full box=180=(10/3)x
180=(10/3)x
solve for x aka number of mints per box
multiply both sides by 3/10 ( since 10/3 times 3/10=30/30=1 so 1x)
540/10=x
54=x
54 mints per box
Answer:
![(f/g)(x) = \frac{x + 5}{3x + 5}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B%205%7D%7B3x%20%2B%205%7D%20)
Step-by-step explanation:
f(x) = 3x² + 10x - 25
g(x) = 9x² - 25
To find (f/g)(x) divide f(x) by g(x)
That's
![(f/g)(x) = \frac{3 {x}^{2} + 10x - 25 }{9 {x}^{2} - 25 }](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B3%20%7Bx%7D%5E%7B2%7D%20%2B%2010x%20-%2025%20%7D%7B9%20%7Bx%7D%5E%7B2%7D%20-%2025%20%7D%20)
Factorize both the numerator and the denominator
<u>For the numerator</u>
3x² + 10x - 25
3x² + 15x - 5x - 25
3x ( x + 5) - 5( x + 5)
(3x - 5 ) ( x + 5)
<u>For the denominator</u>
9x² - 25
(3x)² - 5²
Using the formula
a² - b² = ( a + b)(a - b)
(3x)² - 5² = (3x + 5)(3x - 5)
So we have
![(f/g)(x) = \frac{(3x - 5)(x + 5)}{(3x + 5)(3x - 5)}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B%283x%20-%205%29%28x%20%2B%205%29%7D%7B%283x%20%2B%205%29%283x%20-%205%29%7D%20)
Simplify
We have the final answer as
![(f/g)(x) = \frac{x + 5}{3x + 5}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7Bx%20%2B%205%7D%7B3x%20%2B%205%7D%20)
Hope this helps you