<h3>
Answer:</h3>
The tank can hold up to 9 gallons.
Quick Review:
By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.
7/12 * 12/7 = 1
Doing the Problem:
By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.
5 1/4 ---> 21/4
Okay, lets go!
21/4 * 12/7 = 252/28
<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>
Hope that helps, :)
Answer:
3 because your domain should not repeat
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
_____
This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Answer:
63
Step-by-step explanation:
x = # in ones place
y = # in tens place
x + y = 9
y = x - 3
substitute:
x + x-3 = 9
2x - 3 = 9
2x = 12
x = 6
y = 3
Answer:
D) It passes the horizontal line test
Step-by-step explanation:
In order for a line to represent a function it must pass the vertical line test.
To apply the horizontal line test, take a pencil and hold it vertically. Then, move it across the graph from left to right. If it intersects the line at 1 point everywhere along the line, then it is a function (functions can only have 1 Y value for every X value).
