Answer: 19.2 inches would be the most reasonable answer, since the first two is too small, and the last answer would be too tall.
if there was 2 feet of water, it would be 24 inches full. taking 1 gallon out, wouldn't make the difference to make it go up or down much.
Answer:
(-1,9)
Step-by-step explanation:
y = -3x + 6
y = 9
-3x + 6 = 9
-3x = 3
x = -1
y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,
-3(-1) + 6 = 9
(-1,9)
Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
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The two numbers are 8 and 12.
When added, you get a sum of 20.
When multiplied, you get a product of 96.
The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.
<h3>Correct Response;</h3>
The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>
<h3 /><h3>Method by which the above value is obtained;</h3>
The possible diagram in the question is attached
Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.
ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.
By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;
tan(∠CDE) = tan(∠BAE)
Therefore;
Which gives;
16 × (20 - x) = 25·x
320 = 41·x
x = 320 ÷ 41 ≈ 7.8
The point on the wall she should aim if she's standing at point <em>A</em> is therefore;
- <u>A, 7.8 feet away from point </u><u><em>B</em></u>
Learn more about trigonometric ratios here:
brainly.com/question/4326804
