consider first number is = x
formula,
(n / 2)(first number + last number) = sum,
7/2(x+x+6)= 945
2x+6= 945×2/7
2x+6 = 270
2x= 270-6
x=264/2= 132
Answer the smallest number is 132.
Answer: The factorization of

The factors of
are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : 
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become

Now, taking 28 as common from all the terms, we will get

Thus, the factorization of

And the factors of
are 28 and 1+2t+w.
Answer:
answer is 7.5 miles
Step-by-step explanation:
30/8=3.75 mi in one hour
3.75*2=7.5 miles in 2 hours
hope it helps
Answer:
520 feets
Step-by-step explanation:
The height of the building, h can be obtuined using trigonometry ;
From the attached diagram, opposite side = 300 feets ; height, h = adjacent side
Hence,
Tan θ = opposite / Adjacent
Tan 30° = 300 / height
0.5773502 = 300 / height
Height = 300 / 0.5773502
Height = 519.615
Height = 520 feets
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 + x^2=6^2
Combine like terms
2x^2 = 6^2
Divide each side by 2
x^2 = * 6^2/2
Take the square root of each side
sqrt(x^2) =± sqrt( 6^2/2)
Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)
x = ±sqrt(6^2)/sqrt(2)
x = ±6 /sqrt(2)
We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)
x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)
x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))
x = ±6 sqrt(2) /(2)
x = ±3 sqrt(2)