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Free_Kalibri [48]
3 years ago
10

Please help!! Figure B is scaled copy of figure A, what is the scale factor from figure A to figure B?

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, fig. B to fig. A

Consider the horizontal lengths, then

scale factor = \frac{8}{4} = 2

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Enter the explicit rule for the sequence
Softa [21]
Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
8 0
4 years ago
find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)​
aivan3 [116]

Answer:

Therefore,

x = 9

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

Substituting the values we get

15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}

Square Rooting we get

(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

x = 9

Therefore,

x = 9

3 0
3 years ago
What's 80 + 80 I forgot 0/ease help me ;)​
Fed [463]

Answer:

160 hehe

your welcome :)

7 0
3 years ago
Read 2 more answers
Frieda worked 26 hours 13 minutes last week. She earns $18.75 per hour. What is Frieda's pay for this work period? Round your an
Leya [2.2K]

Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns =  $18.75

in  (26 + 13/60) hours Frieda earns =  $18.75((26 + 13/60)) = 487.5 + 4.06

in  (26 + 13/60) hours Frieda earns = $491.56  (Answer)

4 0
3 years ago
Lou and Jacob each sold 200 pieces of jewelry. If 20% of Lou's sales
uranmaximum [27]
Lou sold 5 more rings
7 0
3 years ago
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