Answer=A
Area=Length ×Breath
Length=2cm
Breath=5cm +4cm=9cm
area = 2cm ×9cm=18cm square
Answer:
2,800 Books to be the same.
Because the two triangles together create another 90 degree angle on the right-most side, we can tell the triangle is a 45-45-90 triangle
So the base of the height (the given value is 3). Because it is a 45-45-90, the height is also 3.
You can now find x by using Pythagorean theorem OR just the proof of a 45-45-90 triangle.
Pythagorean theorem version:
a^2 + b^2 = c^2
3^2 + 3^2 = x^2
9 + 9 = x^2
18 = x^2
x = 3
![\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20)
45-45-90 proof
The legs of a 45-45-90 triangle are congruent so you just take the value of a leg and place a
![\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20)
at the end of it.
Leg length is 3 units. Slap a
![\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20)
on the end; answer is 3
Answer:
45
Step-by-step explanation:
9 x 5 = 45
45 / 9 = 5
45 is the answer!
Answer:
$2.72
Step-by-step explanation:
The increase from last week is the fraction ...
(new price)/(old price) -1 = (1.82/1.65) -1 = 17/165
so the amount of increase Sally will pay this week is ...
17/165×$26.40 = $2.72
_____
<em>Comment on the working</em>
We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.
If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.