Answer:
B) 81°
Step-by-step explanation:
∡1 ≅ ∡5 because they are corresponding angles
∡5 ≅ ∡7 because they are vertical angles
therefore, ∡1 ≅ ∡7
since the angles are equal we can create the following equation:
3x + 18 = 2x + 39
x + 18 = 39
x = 21
∡7 = 2(21) + 39
∡7 = 42 + 39
∡7 = 81
The probability is 15.63%. Solution:
(1 + 4)! over (1! + 4! + 2 raise to 5)
=5/32
=.1563
=15.63%
Velocity is given as 80 feet per second, so replace V with 80.
The rocket is launched from the ground so the initial height is 0, so replace h with 0
The formula now becomes" h(t) = -16t^2 + 80t +0
To find the maximum we need to find the coordinates of the vertex by finding the axis of symmetry:
-b/2a = -80/(2*-16) = -80/-32 = 2.5
This represents the amount of time for the rocket to reach maximum height.
So we now replace t in the equation with 2.5 and solve for the height:
h(2.5) = -16(2.5)^2 + 80(2.5)
h(2.5) = 100
The maximum height is 100 feet
Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55