Answer:
x=1/2, y=2;
Step-by-step explanation:
First pair:
2x-5y =-9
4x+5y=12
Add them together:
6x=3
x = 1/2
2(1/2) - 5y =-9
1-5y = -9
1+9=5y
y=10/5=2
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.
remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2
we said all side lengths are x so we can put x in for a and b and get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
that is the basic fundamental answer that will always work when working with diagonals of squares.
so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
Answer:
179.5 - 180.5
Step-by-step explanation:
Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.
Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.
In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5
Hi Jessica,
<span>Remember PEMDAS (Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction).
√3 x 66.15/4.41 {Exponents/Cube & Square Roots First}
1.73 x 66.15 ÷ 4.41 {Multiplication}
114.4395 ÷ 4.41 {Division}
25.95 {Final Answer}
Cheers,
Izzy</span>
