Answer:
the height of the porch is H=1.91 m
Step-by-step explanation:
neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at
t= L/v₀ , L= horizontal distance
then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche) and the final height hf is 0 , we have
hf = H + vy*t - 1/2*g*t²
0 = H + 0 -1/2*g*t²
H = 1/2*g*t² = 1/2*g*(L/v₀)²
replacing values with g= gravity = 9.8 m/s²
H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m
therefore the height of the porch is H=1.91 m
N is at least -2, but less than 3
Answer:
False
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Equality Properties
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 3x - 3
y = -4x + 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x - 3 = -4x + 4
- Isolate <em>x</em> terms: 7x - 3 = 4
- Isolate <em>x</em> term: 7x = 7
- Isolate <em>x</em>: x = 1
Here we see that our x-value would equal 1.
∴ (-3, 0) is NOT a solution to the systems.
a. 9 ones, 36 hundredths = 3 ones, 12 hundredths = 3.12
b. 36 ones, 012 thousandths = 12 ones, 004 thousandths = 12.004
c. 35 tenths, 5 hundredths = 71 hundredths = 0.71
d. 3 ones divided by 5 + 545 thousandths divided by 5 = 709 thousandths = 0.709
√96 / 8
= √12
= √4×3
= √4√3
= 2√3