Answer:
7
Step-by-step explanation:
Total concrete for slabs
24 * 24 * 1 = 576 ft³
Additional 20 %
By rule of three
if 576 ⇒ 100
x?? ⇒ 20 x = 115,2
And there are 2 slabs, the total volume of concrete is:
Q(t) = 2* (576 + 115,2 ) Q(t) = 1382,4 ft³ (1)
If the truck can carry a maximum of 8 yd³, as 1 ft³ = 0,037 yd³
then a truck can carry a maximum of
8/ 0,037 = 216,21 ft³
Now the total quantity is 1382,4
Then
1382,4/216,21 = 6,39
And as nobody can send a fraction of a truck , the fewest number of truck is 7
Triangles ABC And DEF are not similar triangles.
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
The first one
this is random stuff to fill up the 20 character minimum
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to. You just have to do exactly the same to both of
them.
The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.
Do you see all of those 'x's on the top and bottom ? The top and bottom can
both be divided by x-cubed.
<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.
<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.
So, the simplified fraction is [ -4 / (1 - 2x) ].
That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 . Then it would be
4 / (2x - 1) .
Either one is fine.