Answer:
29 feet.
Step-by-step explanation:
See the attached table.
The given table shows values from the function that represents one path of the thrown ball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet.
Now, the ball will be at maximum height when x = 1.25 feet distance horizontally. And the height of the ball at horizontal distance x = 1.25 feet is f(1.25) = 29 feet.
If the ball enters the target at the heights point in its path, based on the table, then the height of the target is 29 feet. (Answer)
Because G is a 90 degree angle ( right angle) the 2 angles given when added together also need to equal 90 degrees:
4x + 5x = 90
Combine like terms:
9x = 90
Divide both sides by 9:
X = 90/9
X = 10
2x and 8X are supplementary angles and need to equal 180 degrees when added together:
2x + 8x = 180
Combine like terms:
10x = 180
Divide both sides by 10:
X = 180 /10
X = 18
The inside angle where they have 32 is a vertical angle to 32 so it is also 32.
The four inside angles need to equal 360 degrees.
Subtract the 3 known angles from 360 to find x:
X = 360 - 158 - 148 - 32 = 22 degree.
Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
Answer:
4.84 × 10¹⁹
4.9 × 10¹⁹
4.35 × 10²⁰
Step-by-step explanation:
4.35 × 10²⁰ = 43.5 × 10¹⁹
4.84 × 10¹⁹
4.9 × 10¹⁹
Order is:
4.84 × 10¹⁹
4.9 × 10¹⁹
4.35 × 10²⁰
This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
