Answer:
42°
Step-by-step explanation:
For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.
/ |
Stream(27) / | Road( 20)
/__|
Fence
You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.
So 20/27 = .74 = Cos∅
To find the angle ∅ use inverse cosine to get 42°.
Hope that helps and let me know if I did anything incorrectly!
Ruby and Angie ate 8/15 of the pizza all together
Answer:
Step-by-step explanation:
u+6 = - 5 Subtract 6
u + 6 - 6 = - 5 - 6
u = - 11
Try thinking this as money. If you are 5 dollars in the hole and you borrow another 6 dollars, where are you?
The answer is that unless you pay your debt of 5 dollars, you are - 11 dollars in the hole.
Answer:
4 GB
Step-by-step explanation:
Let "g" represent the number of gigabytes of data used. Then the phone bill is computed as ...
bill = 65 + 12g
Aurora's bill is 113, so we can put that value into the equation and solve for g.
113 = 65 + 12g
48 = 12g . . . . . . subtract 65 from both sides of the equation
4 = g . . . . . . . . . divide both sides of the equation by 12
Aurora used 4 gigabytes of data in September.
_____
You can also use your mathematical reasoning to solve this problem. The total bill consists of two charges: a fixed charge of 65 and a charge that depends on data. If you subtract the fixed charge from the bill, you find that the charge that depends on data is 113-65 = 48.
The data charge is 12 times the number of gigabytes. The data charge on the bill is 48, which is 12 times 4. Then the number of gigabytes is 4.
I think the correct answer is b.the measurement of one angle and the lengths of two adjacent sides.
