Multiply 2/10 by 3/1 and you should end up with 6/10
Answer:
1. 98.7 km
2. 303.5 degree
Step-by-step explanation:
Using the alternate angle, the angle at B will be 50 + 10 = 60 degree.
To calculate the length AC of the returning journey, use cosine formula to calculate it.
To find the bearing of the returning journey, use sine rule to calculate it.
Please find the attached file for the solution
Answer:
1/3
Step-by-step explanation:
When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.
The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the <u>reverse operation</u>.
The reverse of exponents is <u>square root</u>.
![(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x](https://tex.z-dn.net/?f=%284x%20%2B%2010%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20%289%20%2B%207x%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5Csqrt%5B%5Cfrac%7B1%7D%7B4%7D%5D%7B%284x%20%2B%2010%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%20%3D%20%5Csqrt%5B%5Cfrac%7B1%7D%7B4%7D%5D%7B%289%20%2B%207x%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%5C%5C%5C%5C4x%20%2B%2010%20%3D%209%20%2B%207x)
Isolate x to solve. Separate the variables and non-variables.
4x + 10 = 9 + 7x
4x - 4x + 10 = 9 + 7x - 4x Subtract 4x from both sides
10 = 9 + 3x
10 - 9 = 9 - 9 + 3x Subtract 9 from both sides
1 = 3x Divide both sides by 3 to isolate x
x = 1/3 Answer
Answer:
I'll explain below, just follow the directions. I can't directly draw it.
Step-by-step explanation:
find the length and the width of a rectangle whose perimeter is 18 ft
2L + 2W = 18
simplify, divide by 2
L + W = 9
L = (9-W)
:
whose area is 20 square feet
L*W = 20
Replace L with (9-W)
W(9-W) = 20
-W^2 + 9W - 20 = 0
Multiply by -1, easier to factor
W^2 - 9W + 20
Factors to
(W-4)(W-5) = 0
Two solutions
W = 4 ft is width, then 5 ft is the Length
and
W = 5 ft is the width, then 4 ft