Answer:
<em>JONATHAN WILL NEED 14 PAGES.</em>
Explanation:
<em>33 + 67 = 100</em>
<em>100 - 12 = 88</em>
<em>88 ÷ 6 = 14.6666667 </em>
<em>14.6666667 ⇒ </em><u><em>14</em></u>
<em>(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)</em>
<em></em>
A40=a1 +(40-1)r
in this case r is 3 beceause -2+3 will be 1 etc
a40=-2 +39*3
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
Answer: width 2.5 length 4
Step-by-step explanation:
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³
volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³
<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³
the answer is
12.3 in³
