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3 years ago

What is the scale factor?AFGH - AMNOG9

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:

Scale factor: 1.666

x: 10

Step-by-step explanation:

These are two similar triangles, the triangle MNO has been scaled off triangle FGH.

To calculate the scale/dilation factor, you take 2 measurements of a similar side and you calculate the ratio.

Since we have the measurements for segments GH and NO, and these are similar sides, we'll use that to calculate the scale/dilation factor of MNO over FGH.

$\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}$

Dilation factor is 5/3... or 1.666

if you're also looking for value of x, it would be 6 * 1.666 = 10

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A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago

Explain in real life scenario in which opposite quantities combine together to make 0.

harkovskaia [24]

A bagel store bakes 57 bagels.Throughout the day, they sell all 57 bagels, leaving them with 0. Hope this helps

3 0

3 years ago

Components of a certain type are shipped to a supplier in batches of ten. suppose that 50% of all such batches con- tain no defe

dimulka [17.4K]

Solution
Let 0 be the event that the batch has 0 defectives, 1 be the event the batch has 1 defective, and 2 be
the event the batch has 2 defectives. Let 0 be the event that neither selected component is defective.
(0
) = 0.5,(1
) = 0.3, (2
) = 0.2
The event 0 can happen in three different ways: (i) Our batch of 10 is perfect, and we get no defectives in
our sample of two; (ii) Our batch of 10 has 1 defective, but our sample of two misses them; (iii) Our batch
has 2 defective, but our sample misses them.
For (i), the probability is (0.5)(1).
For (ii), the probability that our batch has 1 defective is 0.3. Given that it has 1 defective, the probability
that our sample misses it is (
9
2
)
(
10
2
)
, which is 8
10
. So the probability of (ii) is (0.3) (
8
10).
For (iii), the probability our batch has 2 defective is 0.2. Given that it has 2 defective, the probability that
our sample misses both is (
8
2
)
(
10
2
)
, which is 56
90
. So the probability of (iii) is (0.2) (
56
90). We have therefore found
that
(0
) = (0.5)(1) + (0.3) (
8
10) + (0.2) (
56
90).
We use the general conditional probability formula:
(0
|0
) =
(0 ∩ 0
)
(0
)
=
(0.5)(1)
(0.5)(1) + (0.3) (
8
10) + (0.2) (
56
90)
= 0.5784.
(1
|0
) =
(1∩0
)
(0
)
=
(0.3)(
8
10)
(0.5)(1)+(0.3)(
8
10)+(0.2)(
56
90)
= 0.2776.
(2
|0
) =
(2∩0
)
(0
)
=
(0.2)(
56
90)
(0.5)(1)+(0.3)(
8
10)+(0.2)(
56
90)
= 0.1440.
Answer: 0.5784; 0.2776; 0.1440.

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3 years ago

How many ounces go into a pound

Romashka-Z-Leto [24]

There are 16 ounces to a pound

8 0

2 years ago

Read 2 more answers

A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05 .write and solve an equation to

NARA [144]

Answer:

The cost of each bag of chip is $0.85

Step-by-step explanation:

Given as :

The cost of one juice pouch = $1.25

The number of juice pouch = 2

The number of chips bag bought = 3

The total cost of 2 juice pouch and 3 chips bag = $5.05

Let The cost of each bag of chip = $c

<u>Now, According to question</u>

cost of one juice pouch × number of juice pouch + cost of each chips bag × number of chips bag = Total cost of both items

Or, $1.25 × 2 + $c × 3 = $5.05

Or, $2.5 + $c × 3 = $5.05

Or, $c × 3 = $5.05 - $2.5

Or, $c × 3 = $2.55

∴ c = $\dfrac{2.55}{3}$

i.e c = $0.85

So, The cost of each bag of chip = c = $0.85

Hence,The cost of each bag of chip is $0.85 Answer

8 0

2 years ago

What is the scale factor?AFGH - AMNOG9​

What is the scale factor?AFGH - AMNOG9