Answer:
2 1/3 planes
Step-by-step explanation:
3.5 lego planes / 60 minutes
So fraction =
3.5/60
In 40 minutes he will build x planes
So the fraction equation is:
3.5/60 = x/40
Solve:
Cross multiply =
140 = 60x
x = 2 1/3
2 1/3 planes
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ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
![\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D3%5E2%2B4%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B9%2B16%7D%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5%20%5Cend%7Bgathered%7D)
Answer:
I believe C, or the answer you have chosen, is correct.
Step-by-step explanation:
In this question, we add like, AKA similar, terms.
There is nothing to match x^2, so we leave it alone and put it at the head of equation since it has the highest power:
x^2
There is nothing to match -x, so we also leave it alone and put it next to x^2, keeping its sign:
x^2 - x
We can add 1 and 5 to get 6, so we put 6 next to the -x to get our final equation:
x^2 - x + 6.
See how easy that was? :) Hope this helps you and you get a good grade on your test!!
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Have an awesome rest of your day! :)
Lets say x is the smaller number and y is the bigger number.
x + y = 436
x + 134 = y
We can substitute the second equation into the first (substitute x + 134 in for y)
x + (x+134) = 436
2x + 134 = 436
2x = 302
x = 151
We can now plug this back into either formula (i use the second)
151 + 134 = b
b = 285
The 2 numbers are 151 and 285
Answer:
The octagonal prism has 8 lateral faces
Step-by-step explanation:
we know that
The number of lateral faces is equal to the number of sides that the base has
In this problem
The base is a octagon (8 sides)
so
The octagonal prism has 8 lateral faces
