I think the answer would be d in my opinion
Answer:
factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors of both:
1, 2, 3, 4, 6, and 12
Please mark me brainliest, so that I get encouraged to make more great answers like this!
Answer:
925
Step-by-step explanation:
In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:
(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)
One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:
1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)
= 325
Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):
3 × 325 = 975
At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:
975 + ((-2) × 25)
= 975 - 50
= 925
Answer:
131072
Step-by-step explanation:
Let's put it into expression form and simplify as much as possible :
=
=
131072
Hope this helped and have a good day
Answer:
44,39 in
Step-by-step explanation:
To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.
To do this we can start by using trigonometry. (SOH-CAH-TOA)
We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)
So...
Sin(40) = 24 in ÷ <em>h</em>
Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.
hSin(40) = 24 in
Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).
h = 24 in ÷ Sin(40) = 37,34 in
Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))
37,34 in^(2) + 24 in^(2) = 1970,28
And now we take the square root of 1970,28.
Which is about 44,39 in.
<em>If you're not familiar with these concepts I suggest you</em><em> </em><em>search</em><em> </em><em>them</em><em> </em><em>up</em><em>.</em>
