Answer:
36 feet
Step-by-step explanation:
Given

Required
Determine the maximum height attained
First, calculate the time to reach maximum height;
In a quadratic equation;

The maximum is:

So, we have:

Where

So:





The maximum height is at: 
So, we have:



The value of x is 27°.
Solution:
Given
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
$6.9
Step-by-step explanation:
23.55 + 19.95 = 43.1 (total amount spent)
She had $50 and she spent $43.1 on shoes
50 - 43.1 = 6.9
= $6.9
1 1/3 hours. 3/4 plus 7/12 equals 1 1/3. Hope this helps
-1/4 will be ration because all fractions are rational