The correct answer is 14.2 lb which is choice D.
Let:
F = minimum force required to prevent ball from rolling down the ramp
The formula will be:
F = w * sin theta
F = w * sin (39 degrees)
F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)
Answer:
13x² - 4x
Step-by-step explanation:
3x + 4x² - 7x + 9x² ← collect like terms
= (4x² + 9x² ) + (3x - 7x)
= 13x² + (- 4x)
= 13x² - 4x
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Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
<h3>Defining the variables, let</h3>
<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>
<h3>Plugging everything into the equation</h3>
<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>
<h3>30=2x+4x+6 combining like terms</h3>
<h3>30=6x+6 subtracting 6 from both sides,</h3>
<h3>24=6x divide both sides by 6</h3>
<h3>4=x This means that the width is 4 m.</h3>
<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>
<h3>L=2(4)+3</h3>
<h3>L=8+3 = 11 m</h3>
<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>
Answer:
a.) Total distance Julie cover = 128 feet
b.) Total area , the playground cover = 256 ft²
Step-by-step explanation:
P. S : The exact question is -
As given,
Length of 1 side = 16 feet
As , we have
4 sides of same length
⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet
a.)
As given Julie does 2 lap of the playground
⇒ Total distance Julie cover = 64 + 64 = 128 feet
b.)
As the playground has equal side, so it must be of square shape
And, we know
Area of square = (Length of one side)²
= ( 16 )² = 256 ft²
∴ we get
Total area , the playground cover = 256 ft²
Answer:
option (B) and (D)
Step-by-step explanation:
It's just basic of domain and range just check out the domain and range you can get your answer .
Only option (B) and (D) satisfy in the given range and domain