Vertices are the "points" of a 2D figure. In this case, we see the 2D figure as a triangle. There are 3 points on the triangle, so there are 3 vertices.

3 0

1 year ago

What is the output of the function f(p) = 3p – 2 when the input is 2? A. 0 B. 2 C. 4 D. 6 E. 8

bazaltina [42]

Step-by-step explanation:

$f(p) = 3p - 2$

$f(2) = 3(2) - 2$

$f(2) = 6 - 2$

$f(2) = 4$

Answer: Option C, 4

8 0

2 years ago

Read 2 more answers

Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want

Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

L is its length

W is its width

H is its height

The volume of the cone is V = $\frac{1}{3}$ π r² h, where

r is the radius of its base

h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = $\frac{1}{2}$ diameter = $\frac{1}{2}$ (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = $\frac{1}{3}$ (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0

3 years ago