Answer: The value of the integer that was removed = 4
Step-by-step explanation:
Sum of <em>n</em> values= Mean x <em>n</em>
Given: n = 7 , Mean = 16
Let x= integer removed.
Sum of remaining 6 integers = 6
Hence, the value of the integer that was removed = 4
Answer:
the building is 28m
Step-by-step explanation:
I answered this but i couldn’t take multiple pictures. however i found a website with the same answer as me after i answered your question. here : https://www.quora.com/How-do-I-integrate-Integrate-sinxdx-sin-3x+cos-3x
We have to present the number 41 as the sum of two squares of consecutive positive integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
16 + 25 = 41
<h3>Answer: 4 and 5</h3>
Other method:
n, n + 1 - two consecutive positive integers
The equation:
n² + (n + 1)² = 41 <em>use (a + b)² = a² + 2ab + b²</em>
n² + n² + 2(n)(1) + 1² = 41
2n² + 2n + 1 = 41 <em>subtract 41 from both sides</em>
2n² + 2n - 40 = 0 <em>divide both sides by 2</em>
n² + n - 20 = 0
n² + 5n - 4n - 20= 0
n(n + 5) - 4(n + 5) = 0
(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0
n = -5 < 0 ∨ n = 4 >0
n = 4
n + 1 = 4 + 1 = 5
<h3>Answer: 4 and 5.</h3>
Answer:
b= 9.17 ft
Step-by-step explanation:
The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.
a^2+b^2=c^2
4^2+b^2=10^2
Then square all the known values
16+b^2=100
Then get b by itself
b^2=-16+100
add -16 and 100
b^2=84
and finally square root both sides of the equation
b=9.16515 ft or 9.17 ft
