Question

Please answer correctly

Answer 1

Explanation:

Karen: Area of Semicircle =
`\pi r^(2)/2 = \pi 15^(2) /2 = 353.25 sq ft\\`

1 person takes 2 sq ft . how many can fit in 353.25 sq ft?

353.25/2 = 176.625 \\

So 176 people can fit in the concert hall.

Jared:

Total no of chips = 30

Total number of chips that are not plain = 7+10+8=25

Probability that chips will not be plain = 25/30=5/6

Prism:

We are given;

Dimensions of a triangular prism;

Base is 12 cm

Height is 9 cm, and

Length is 18 cm

We are required to determine the volume of the prism

To answer the question we need to know that the volume of a triangular prism is given by;

Volume = 0.5 × Width × height × Length

Therefore;

Volume = 0.5 × 12 cm × 9 cm × 18 cm

= 972 cm³

Thus, the volume of the triangular prism is 972 cm³

Rectangular prism

Volume of rectangular prism = length * base* height

1155 = 11/2* 21/2 * height

height = 420/22 = 210/11 = 19
`(1)/(11)`