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Elenna [48]
2 years ago
15

Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0

Answer:  14

Step-by-step explanation:

Since they are similar, that means their side lengths are proportional.

Therefore, \frac{WX}{AB} = \frac{WZ}{AD}.

We can plug in the values we know:

Let x be the missing measurement.

\frac{16}{24} =\frac{x}{21}

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

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The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will
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Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

5 0
2 years ago
A company is developing packaging for a new product as shown below.
Alexxandr [17]

Step-by-step explanation:

B and E

B-2 × 4 × 3) + (2 × 9 × 4)=96

E-3 × 4 × 4) + (6 × 4 × 2)=96

answer correct B and E

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2 years ago
What is 3 4/5 rounded to the nearest half
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3 1/2 or 7/2
keep the 3 yards and round the 4/5 to half a yard or 1/2 and just in case turn into a improper fraction
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2 years ago
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Part C
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Answer:

ANSWER. Part c

Line segment PM = 4.2 length

ML = 6.2

ON = 3

NK = 2

Step-by-step explanation:

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2 years ago
- Critique Reasoning Tanya recorded the ages
pickupchik [31]

The error made by Tnaya in constructing the box plot is the first quartile and third quartile depicited is wrong.

<h3>What is a box plot?</h3>

A box plot is used to study the distribution and level of a set of data. The box plot consists of two lines known as whiskers and a box. The first whisker represents the minimum value and the last whisker represents the maximum value.

On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.

For the data given, the:

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To learn more about median, please check: brainly.com/question/20434777

4 0
2 years ago
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