Answer:
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Step-by-step explanation:
In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.
volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³
volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³
Since the volume of the cone is bigger than the volume of the scoop, it won't spill.
Answer:
Area of the rectangle = 95 cm²
Step-by-step explanation:
Perimeter of the rectangle = Sum of the measures of the sides of the rectangle
From the figure attached,
Perimeter of the rectangle = 2[(3x -1) + (2x + 3)]
39 = 2(5x + 2)
39 = 10x + 4
10x = 39 - 4
10x = 35
x = 3.5
Therefore, measure of the given sides will be,
Length = (3x - 1) cm
3x - 1 = (3×3.5) - 1
= 10.5 - 1
= 9.5 cm
Width = (2x + 3) cm
2x + 3 = (2×3.5) + 3
= 7 + 3
= 10 cm
Area of the rectangle = Length × width
= 9.5 × 10
= 95 cm²
Therefore, area of the rectangle is 95 cm².
Answer:
A, C, D and K
Step-by-step explanation:
Inequalities:
y ≤ −2x + 10 and y >1/2x-2
<u>Finding zeros for the first inequality:</u>
- x=0 ⇒ y= 10, point (0, 10)
- y=0 ⇒ x= 5, point (5, 0)
- Locating these 2 points and connecting to get the first line.
Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.
<u>Finding zeros for the second inequality:</u>
- x=0 ⇒ y= -2, point (0, -2)
- y= 0 ⇒ x= 4, point (4, 0)
- Locating these points and connecting to get the second line.
Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.
Now we have the space of intersection of the above inequalities.
So the points in same section are the solution.
They are:
See attached for explanation
Answer:
2/9
Step-by-step explanation:
i search it up
Answer:
−11x+11
Step-by-step explanation: