Answer:
101 revolutions
Step-by-step explanation:
Given: The diameter of the bike wheel is 19 inches.
We need to find the circumference of the wheel.
The circumference of the wheel = πd
π = 3.14 and d = 19
Now plug in these values in the above formula, we get
The circumference of the wheel = 3.14*19
= 59.66 inches
We need to find number of revolutions of wheel to cover the distance of 500 feet.
Now we have to convert 500 feet to inches.
1 foot = 12 inches.
500 feet = 500 *12 = 6000 inches.
The number of revolution = 6000 / 59.66
= 100.56
When we round of to the nearest whole number, we get 101
To cover the distance of 500 feet, the wheel must be rotate 101 times.
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<h3><u>Explaination :</u></h3>
In the question it is given that the length is 4 cm more than the width so let us assume the width as x.
Therefore,
- Length (l) = 4 + x
- Breadth = x
As we know the formula of calculating the perimeter of rectangle is,
Here,
- P is perimeter
- l is length
- b is breadth
Putting their respective values,
=> 14 = 2 (x + 4 + x)
=> 14 = 2 × (x + 4 + x)
=> 14 = 2x + 8 + 2x
=> 14 = 4x + 8
=> 14 - 8 = 4x
=> 4x = 6
=> x = 6 / 4
=> x = 3 / 2
=> x = 1.5
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The answer is 66 because the area of the triangle is 6, and the area of the rectangle is 60, so when you add them together you get 66
Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = 
= 
= - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
Answer:
x = -4
x = 6
Step-by-step explanation:
x² - 2x -24 = 0
x² - 6x + 4x - 24 = 0
x ( x - 6 ) + 4 ( x - 6) = 0
x + 4 and x- 6
so either of them is zero so values if x are
X = -4
X = 6
