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mrs_skeptik [129]
3 years ago
13

Here is a dot plot that shows the ages of teachers at a school.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

whats the answer?

Step-by-step explanation:

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A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
2 years ago
1,236,840 in scientific notation.
Leni [432]
The answer is 123684 x 10^1. Hope i helped.(whatever comes after ^ is an exponent)
4 0
3 years ago
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the str
OlgaM077 [116]

Answer:

8

Step-by-step explanation:

100 = x^2 + AC^2

17^2 = AC^2 + (21 - x)^2

289 = AC^2 + 21^2 + x^2 - 2*21*x

289 =<u> AC^2</u> + 441 +<u> x^2</u> - 42x

from 1st equation AC^2 + x^2 = 100

289 = 441 + 100 - 42x

289 = 541 - 42x

42x = 541 - 289 = 252

x = 252/42 = 6

so AC^2 = 100 - 6^2 = 100 - 36 = 64

AC = 8

7 0
2 years ago
4 is what percent of 17?
solong [7]
4/17=x/100 》400\17=x 》x=23.5
4 0
3 years ago
Read 2 more answers
A drawer is filled with 9 black shirts, 6 white shirts, and 5 gray shirts. One shirt is chosen at random from the drawer. Find t
artcher [175]
Ok, I think this is the answer. 70% chance that it is Not a white shirt.
8 0
3 years ago
Read 2 more answers
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