Answer:
32.5%
Step-by-step explanation:
first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is
65*3=195
During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank
195/30=6.5
6.5 gallons is 32.5% of 20 gallons
6.5/20=0.325
0.325 * 100 = 32.5%
360-150-150=60 arc ac=60, the measure of arc is same as central angle and inscribe angle is half of central angle so answer is 30
Hi there!
The two trapezoids are similar, so we can determine a common scale factor:
OL/UR = NM/TS
9/3 = 6/2
3 = 3
Trapezoid ONML is 3x larger than UTSR, so:
RS = 4, LM = y
3RS = LM
3 · 4 = y = 12.
Find x using the same method:
3UT = ON
3(2x+1) = 4x + 9
6x + 3 = 4x + 9
2x = 6
x = 3.
Answer:
When t = 4
Step-by-step explanation:
The phone will hit the ground when h = 0.
However, as time cannot be negative, we know the answer is when t = 4.
Ok so basically, when you say multiply A by C, that is simplifying.
And in this case, you are factorising in this question. You turn back into brackets basically.
We have:
72x^2 - 32
x^2 = x squared
factorising means finding the factor of.
(Forget the x squared for the moment to make life easier)
Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)
And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)
Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!
This is what we would have:
8(9-4)
BUT, that is not the answer!
Keep in mind we have the x squared too
But, 32 doesn’t have it?!!
It would be:
8(9x^2 - 4)
Do you get it??
Try to simplify it! Does it equal to 72x^2 - 32?
(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)
