Answer:
AC ≈ 9,7sm
Step-by-step explanation:
AB=7 One side of a right triangle
BC=12 Hypotenuse of a right triangle
AC=?=x The other side of a right triangle
x²+7²=12²
x²=144-49
x²=95
x=√(95) ≈ 9,7
AC ≈ 9,7sm
That's not a squre
anyway, we use ratios
base:person to corner=28:8
height to height=x:5
so
28/8=x/5 becasue same ratio
28/8=14/4=7/2
7/2=x/5
multiply
35/10=2x/10
35=2x
divide 2
17.5=x
x=17.5 feet
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Answer:
3000
Step-by-step explanation:
2000 x 9 = 18000
18000 divided by 6 is 3000
Answer:
33.3%
Step-by-step explanation:
The number of people that must be fed has increased from 4 to 6, so is 6/4 = 3/2 as many as planned.
Assuming the additional people eat the food at the same rate as the original people, the time and number of people are assumed to be inversely proportional. That is, the time the food will last is 2/3 of the originally expected time. It has decreased by 1/3 × 100% = 33.3%.
___
If you like, you can count rations. For four people for 12 days, at 3 rations per person per day, a total of 144 rations are needed. When the number of people becomes 6, the number of days that will last is ,,,
(144 rations)/(6 persons)/(3 rations/person/day) = 8 days
The percentage change in trip days is ...
(8 -12)/12 × 100% = -4/12 × 100% = -33.3% . . . a decrease of 33.3%
