The computation shows that the placw on the hill where the cannonball land is 3.75m.
<h3>How to illustrate the information?</h3>
To find where on the hill the cannonball lands
So 0.15x = 2 + 0.12x - 0.002x²
Taking the LHS expression to the right and rearranging we have:
-0.002x² + 0.12x -.0.15x + 2 = 0.
So we have -0.002x²- 0.03x + 2 = 0
I'll multiply through by -1 so we have
0.002x² + 0.03x -2 = 0.
This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.
The second solution y = 0.15 * 25 = 3.75
Learn more about computations on:
brainly.com/question/4658834
#SPJ4
Complete question:
The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?
Answer:
x = 15.7945
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 33°
Opposite Leg = <em>x</em>
Hypotenuse = 29
<u>Step 2: Find Angle</u>
- Substitute in variables [sine]: sin33° = x/29
- [Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = x
- Rewrite: x = 29sin33°
- Evaluate: x = 15.7945
The number that twice the sum of it and negative seven is eight is 11.
<h3>How to find the number ?</h3>
Twice the sum of the number and negative seven is eight. The number can be found as follows:
let
the number = x
According to the word expression, twice the value of the addition of x and minus seven is equals to 8. Hence, we will find the value of x in the equation formed from the words expression.
The variable x is the required number.
Therefore,
2(x + (-7)) = 8
2(x - 7) = 8
open the brackets
2(x - 7) = 8
2x - 14 = 8
add 14 to both sides of the equation
2x - 14 = 8
2x - 14 + 14 = 8 + 14
2x = 22
divide both sides by 2
x = 22 / 2
x = 11
learn more on numbers here: brainly.com/question/11234992
#SPJ1
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet
Simplifying by 3, both sides
The width of the scale model is 33 inches.
Which sequence is arithmetic? 6, 12, 15, 21, ... 7, 14, 21, 36, ... 8, 16, 32, 64, ... 9, 18, 27, 36, ...
charle [14.2K]
9, 18, 27, 36 is a Arithmetic sequence and the sequence is 9
