By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.
<h3>What is the maximum height of the rocket?</h3>
In this problem we must obtain the <em>maximum</em> height reached by the rocket and based on the <em>quadratic</em> equation described in the statement. There is an algebraic approach to get such information quickly. First, we modify the polynomial into an <em>implicit</em> form:
- 5 · t² + 70 · t - h = 0
Graphically speaking, <em>quadratic</em> equations are parabolae and, in particular, the <em>maximum</em> height of the rocket is part of the vertex of the parabola. Then, the discriminant of the quadratic equation is:
70² - 4 · (- 5) · (- h) = 0
4900 - 20 · h = 0
h = 245
By making use of properties of <em>quadratic</em> equations, we conclude that the <em>maximum</em> height of the rocket is 245 feet.
To learn more on quadratic equations: brainly.com/question/17177510
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Hello
This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.
Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.
So as we look at 8x, it needs to equal 40
- 8x=40 divide both sides by 8
- x=5
Hope this helps!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Answer:
x = 4.75
Step-by-step explanation:
<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>
<h3>
<u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>
