Bob can do a tenth of the roof in an hour
James can do a sixteenth in an hour
Bob can do 16/160 of the roof in an hour
James can do 10/160 of the roof in an hour
Together they do 26/160 of the roof in an hour
160/26 = 6.15 (to 2 d.p.)
Answer:
9°
Step-by-step explanation:
You can make use of any of the trigonometric ratios to determine N, or you can let your calculator tell you what it is by solving the triangle.
SOH CAH TOA reminds you that
... sin(N) = 13/85 . . . . N = arcsin(13/85)
... cos(N) = 84/85 . . . N = arccos(84/85)
... tan(N) = 13/84 . . . . N = arctan(13/84)
all will tell you N ≈ 8.79741° ≈ 9°
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If you use inverse functions on your calculator, be sure it is in <em>degrees mode</em>.
The answer is 23/42. CD is 42
Answer:
The answer is y = 4x - 8.
Step-by-step explanation:
☆Remember: ![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
☆Slope-intercept: ![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
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☆We need to find the slope first. So just plug in according to the slope formula!
![m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B0%20-%208%7D%7B2%20-%204%7D%20%20%3D%20%20%5Cfrac%7B%20-%208%7D%7B%20-%202%7D%20%20%3D%204)
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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
![y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: }](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%5C%5C%208%20%3D%204%284%29%20%2B%20b%20%5C%5C%208%20%3D%2016%20%2B%20b%20%5C%5C%20%20%20%5Cfrac%7B%20-%2016%20%3D%20%20-%2016%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%7B%20-%208%20%3D%20b%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%7D%20)
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☆Now all we need to do is plug in and we are done!
![y = 4x - 8](https://tex.z-dn.net/?f=y%20%3D%204x%20-%208)
▪Happy To Help <3
ANSWER: 0,4
x(x−4)=0 Step 1: Factor left side of equation.
x=0 or x−4=0 Step 2: Set factors equal to 0.
x=0 or x=4