Question

Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

A. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
B. Both plans cost the same when 22 texts are sent.
C. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
D. Both plans cost the same when 50 texts are sent.

Answer 1

Step-by-step explanation:

Answer from:

answer:

a) 6.32 in.

b) 71.56°

c) 36.88°

step-by-step explanation:

to solve each part of the problem, let's pay attention to the triangle abc shown in the figure.

a) the slant height (l) of the cone is the hypotenuse of the right triangle abc, then, to calculate it you can apply the pythagorean theorem:

$l=\sqrt{(ab)^{2}+(bc)^{2}}=\sqrt{(2in)^{2}+(6in)^{2}}=6.32in$

b) the angle asked is the angle ∠a, then, you have:

$tan^{-1}(a)=\frac{opposite}{adjacent}\tan^{-1}(a)=\frac{6}{2}$

∠$a=71.56$°

c) the angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠c.

by definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠c as following:

∠$c=180-90-71.56=18.44$

then:

$\alpha=2*18.44$

$\alpha=36.88$°

(i really need ) read the story problem, and then answer the questions that follow. gordon works fo