Answer:
35 degrees
Step-by-step explanation:
Step-by-step explanation:
First, since this is already in factored form, we can find the zeroes of this quadratic, which are -3 and -1/2. (To check, you can try plugging in these 2 values for x, and they indeed equal to zero.)
Now, we want to find the vertex. The x value would be exactly halfway between -3 and -1/2, which is -1.75. Now, we just need to evaluate it, so we can find the y value of the vertex:
(-1.75+3)(2*(-1.75)+1)
=(1.25)(-2.5)
=(-3.125)
Therefore, the vertex is at (-1.75, -3.125).
3 points define a parabola, so we can directly graph it now(graph attached to the answer).
I hope this helped.
Answer:
34.54 in (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle whose radius is known is
C = 2πr.
Here, r = 5.5 and π ≈ 3.14, and so the circumference of the circle is
C = 2(3.14)(5.5 in) = 34.54 in (Answer C)
The volume of the fish tank is 408 in³
To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.
<h3>What is the volume of plane shapes?</h3>
The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.
From the figure given:
The figure can be differentiated into two shapes;
The volume of the rectangle is known as:
- = Length × Breadth
- = 7 inches × 6 inches
- = 42 inches²
The volume of the triangle is:
- = 1/2 × base × height
- = 1/2 × 3 × 6
- = 9 inches²
The total volume of the base of the fish tank now is:
- = 42 inches² + 9 inches²
- = 51 inches²
Now, the volume of the fish tank is:
- = Height × base of the fish tank
- = 8 inches × 51 inches²
- = 408 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473
Answer:
11.95
Step-by-step explanation:
If she had $6.95 and she owed her friend 5 dollars that means the friend gave her 5 dollars. So $6.95 + $5 = to $11.95. So that's how much the snack cost