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Zigmanuir [339]
3 years ago
9

The ramp that John uses for a motorcycle stunt is a right triangle. It has an angle of

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0
I’m sorry idk I’m new to this
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A recipe calls for two eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?
zzz [600]
Hello!

2 eggs makes 10 pancakes so that is a 2:10 ratio

which can be reduced to 1 egg makes 5 pancakes so  

35/5 which equals 7

7 eggs are needed to make 35 pancakes

Hope this helps!
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3 years ago
Khan Academy’s question
prisoha [69]

Answer:

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Step-by-step explanation:

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3 years ago
Which term best describes the definition below?
Amiraneli [1.4K]
When a set of objects are chosen from a larger set in which the order of the object doesn't matter, we call this combination. Otherwise if the order of selection would matter this would be called a permutation.
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4 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

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3 years ago
Can someone pls pls help me ?
In-s [12.5K]
41 feet is the correct answer !!!!!!
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3 years ago
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