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umka2103 [35]
3 years ago
13

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³. What is the scale factor? Enter your answer, as a decimal

or a fraction in simplest form, in the box.
Mathematics
2 answers:
Arada [10]3 years ago
7 0
I just took the quiz the answer is 0.5
myrzilka [38]3 years ago
3 0

Answer:

The scale factor is equal to \frac{1}{2} or 0.5

Step-by-step explanation:  

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

z^{3}=\frac{45}{360}= \frac{1}{8}\\ \\z=\sqrt[3]{\frac{1}{8}}\\ \\z=\frac{1}{2}

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5 groups of 2 hundredths =
dezoksy [38]
5x0.02=10 hope this helps! :)
7 0
3 years ago
The area of a piece of land that is in the shape of a triangle is 1/12 square mile. One dimension of this piec of land is 4/21.
Arisa [49]

Answer:

D2=21/24 mile

Step-by-step explanation:

Her it is not specified if it is base or height, it only talks about dimensions, so let's work with dimensions

A=1/12 mile^{2}

D1=4/21mile, D2=?

Area of a triangle A=\frac{b.h}{2}

A=((D1*D2)/2) → 2A=D1*D2 → D2=2A/D1 so D2=(2*1/12)/(4/21) =(1/6)/(4/21) = (1*21)/(6*4)=21/24 mile

7 0
3 years ago
Lets see who is smart lol
Simora [160]

9514 1404 393

Answer:

  \square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}

Cross-multiplying gives ...

  2(y -5) = x -2

  2y -10 = x -2  . . . eliminate parentheses

  2y = x +8 . . . . . . . add 10; next, divide by 2

  \boxed{y=\dfrac{1}{2}x+4}

__

These equations match choices B and D.

6 0
3 years ago
Which symbol creates a true sentence when x equals 3?<br><br><br><br><br>52 + (x – 2)2 __ 25
e-lub [12.9K]

Answer:

>

Step-by-step explanation:

6 0
3 years ago
2. STOP RIGHT THERE. PLEASE HELP ME WITH THIS QUESTION
Nitella [24]

Answer: 4 * 8 = -32y

4 * 5 = -20

Step-by-step explanation:

8 0
2 years ago
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