Answer:
Step-by-step explanation:
Let the x be the number of hours after noon.
<u>We have the following equation:</u>
- 14.83 + 0.12(x + 3) = 15.33 - 0.15x
- 14.83 + 0.12x + 0.36 = 15.33 - 0.15x
- 0.12x + 0.15x = 15.33 - 15.19
- 0.27x = 0.14
- x = 0.14/0.27
- x ≈ 0.5
Answer: the radius of the basketball when the volume is v
Step-by-step explanation:
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Answer:
Slope: 1/4
y-intercept: -6
Step-by-step explanation:
Answer:
B: 24ft^2
Step-by-step explanation:
Area of triangle = (base x height)/2
Step 1: form an equation
a = (12ft x 4ft)/2
Step 2: solve equation
a = 48ft^2 / 2
a = 24ft^2
*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*