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mamaluj [8]
3 years ago
11

Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

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Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the
kvv77 [185]

Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

  • A car dealer ship sells at least 5 minivans

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

  • Let 'c' represent the number of minivans sold each week.

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

8 0
3 years ago
Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?​
artcher [175]

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

4 0
2 years ago
Convert to exponential form: log 1000=3
Luden [163]
\log_a b=c \hbox{ if } a^c=b \\ \\
\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}

8 0
3 years ago
Question 4 (Essay Worth 10 points)
Over [174]

The 3-D shape would be created if the figure was rotated around the x-axis is a cone

<h3>What are 3-D shapes?</h3>

3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height

<h3>How to determine the 3-D shape?</h3>

The coordinates are given as:

(0, 0), (-3, -4) and (-3, 0)

When the above coordinates are plotted on a coordinate plane and the points are connected;

We can see that the points form a right-triangle

See attachment for the shape

As a general rule

Rotating a right-triangle across the x-axis would form a cone

Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone

Read more about rotation at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
Mrs. Carlyle bought a bag of nuts for her children. Phillip, Joy, Brent, and Preston took some from the bag.Phillip took 1/3. Jo
BARSIC [14]

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

8 0
3 years ago
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