<u>Answer:</u>
Equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas
<u>Solution:</u>
Given that
Cost of large pizza = $5 each
Cost of large one-topping pizza = $6 each
Need to write the equation that represents total cost t of c large pizzas and d large one topping pizzas.
From given information
Cost of 1 large pizza = 5
So cost of c large pizzas = c x 5 = 5c
Cost of 1 large one-topping pizza = 6
So cost of d large one-topping pizzas =d x 6 = 6d
<em>Total cost t = cost of c large pizzas + cost of d large one-topping pizzas </em>
=> t = 5c + 6d
Hence equation t = 5c + 6d represents total cost t of c large pizzas and d large one-topping pizzas.
It is given that the triangles ITH and APG are congruent.
When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.
By being congruent, the corresponding angles which are congruent are:
Therefore, 
SO, Option 2 is the correct answer.
You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36
36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
b² = 9
b = 3
To find the slope, divide a/b and you will get 2/3.
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
