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3 years ago

What is q? For this 30 and 60, 90 angle?

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

30 60 90 triangle
ratio of short leg : long leg = a : a√3

Given long leg = 9 cm
so
short leg = 9 / √3
= 3√3
= √27
= 27^(1/2) <..........(radical form)

Hope it helps.

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Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.

vaieri [72.5K]

This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem

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3 years ago

Read 2 more answers

What is the value of the 9th term in the following geometric sequence?

earnstyle [38]

Answer: The correct option is (D) 196608.

Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :

3, 12, 48, 192, . . .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

$a_n=ar^{n-1}.$

For the given sequence, we have

first term, a = 3 and the common ratio, r is given by

$r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.$

Therefore, the 9th term of the given sequence will be

$a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.$

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

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3 years ago

If f (x) = 4x - 11 , What is the value of f(5) a. 20x - 55 b. 34 c. 9 d. 4

kramer

Answer:C

Step-by-step explanation:

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3 years ago

In the expression (x2 + 3), the base is

hichkok12 [17]

X is the base of the exponent.

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3 years ago

Una compañía de telefonía móvil en expansión ha gestionado durante el trimestre que finaliza ochocientas cincuenta mil llamadas

NISA [10]

Answer:

$2,050,000\ daily\ calls$

Step-by-step explanation:

The question in English is

An expanding mobile phone company handled eight hundred and fifty thousand calls a day during the quarter. In the next quarter it expects to reach one million and increase quarterly by the same amount over the next two years. How many daily calls do you expect to handle in two years?

Let

x ----> the number of quarter

y ---> number of daily calls

we know that

we have the points

(0,850,000) and (1,1,000,000)

Find the slope m

$m=(1,000,000-850,000)/(1-0)=150,000\ daily\ calls$

The linear equation that represent this situation is

$y=150,000x+850,000$

How many daily calls do you expect to handle in two years?

In two years there are 8 quarterly

For x=8

substitute

$y=150,000(8)+850,000=2,050,000\ daily\ calls$

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3 years ago