Answer:
2520
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference.
To find the number of terms given = - 10 , d = - 2 and a₁ = 100, then
100 - 2(n - 1) = - 10 ( subtract 100 from both sides )
- 2(n - 1) = - 110 ( divide both sides by - 2 )
n - 1 = 55 ( add 1 to both sides )
n = 56 ← number of terms
Given n, a₁ and a₅₆ , then the sun of the terms is
= (a₁ + a₅₆ )
= (100 - 10) = 28 × 90 = 2520
Answer:
well according to my calculations and if i am correct the Answer would be B
Step-by-step explanation:
Answer:
17m
Step-by-step explanation:
Draw a picture for the situation:
__________<u>15m</u>___________
| |
b | | 8m
|________________________|
a
We can assume the floor is a rectangle. Cut the triangle diagonally in half.
The rectangles has all right angles and is composed of two right triangles.
Use the Pythagorean formula and solve for the length of the hypotenuse to find the distance between two the opposite corners. I labelled two of the sides a and b.
The formula is: a² + b² = c² , where c is the distance. Substitute the side lengths a and b and solve for c.
a² + b² = c²
15² + 8² = c²
Simplify:
225 + 64 = c²
c² = 289
c = √289
c = 17
The distance between two opposite corners on the floor is 17 metres.
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.
1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16
1+ 2 + 4 + 8 + 16 = 31
31/16 = 1 15/16
Hope this helps!