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4 years ago

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5. It is given that -2,4, a, b and care five consecutive terms of a geometric progression. Find the value of c.

1 answer:

vlada-n [284]4 years ago

3 0

Answer:

c = - 32

Step-by-step explanation:

The common ratio r of the sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{4}{-2}$ = - 2

To find the next term in the sequence multiply the previous term by r

a = 4 × - 2 = - 8

b = - 8 × - 2 = 16

c = 16 × - 2 = - 32

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3 years ago

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9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

(c) The number of gold ink bottles.

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

3 years ago

Julio says "If you subtract 13 from my number and multipy the difference by -3 the result is -45" what is Julio's number

ICE Princess25 [194]

Answer:28

Step-by-step explanation:

Julio's number is x

(X-13)*-3=-45

Divide by -3

X-13=15

Add13 to both sides

x=28

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3 years ago

Can someone help me find the domain of this function please ?

ratelena [41]

Answer: It is A=-1<x<-6 is the domain

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4 years ago

Do you use the greatest common factor or the least common multiple to add two fractions? In this example what is it? 4/5+5/6 lea

Alenkinab [10]

Answer:

30 is the least common factor or lcm

Step-by-step explanation:

when adding fractions you always have to find the lcm

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3 years ago