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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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Suppose f(x) = x^2 and
SpyIntel [72]

Given:

The two functions are:

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

5 0
3 years ago
Simone used 2 1/3 kilograms of flour to bake a cake . She used 4/5 kilograms of flour more to bake a second cake. How much flour
Likurg_2 [28]

Answer:

3.13 kilograms used for the second cake

Step-by-step explanation:

because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.

5 0
3 years ago
Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the
sammy [17]

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

4 0
3 years ago
The lunch lady has 12 pounds of lasgana. If she makes 1/3 pound servings using this amount of lasgana how many servings can she
Anon25 [30]
She can make 36 servings with 12 Lbs of Lasagna.

3 0
3 years ago
Is this answer correct?
andre [41]
Thx no that answer is not correct
5 0
3 years ago
Read 2 more answers
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