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Tju [1.3M]
3 years ago
10

A triangle with an area of 3 mm² is dilated by a factor of 6.

Mathematics
2 answers:
tresset_1 [31]3 years ago
8 0
Did you find out the answer
KonstantinChe [14]3 years ago
3 0

Given that area of the triangle = 3 mm²

Factor of dilation = 6

Now question says to find the area of new triangle obtained after dilation.

We know that the area of a figure that is dilated by a factor x is x² times the original area.

So required area will be 6² times the original area.

New \;area = 6^2 * 3 \; mm^2

New \;area = 36 * 3 \; mm^2

New \;area = 108 \; mm^2

Hence final answer is 108 mm².

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Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
3 years ago
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr
Gelneren [198K]

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

3 0
4 years ago
Read 2 more answers
which unit of measure would be appropriate for the volume of a cylinder that is 8 meters and has a radius of 4 meters
Nastasia [14]
The unites to measure the volume of an object is what ever units you’re using cubed
3 0
3 years ago
Discounts and what is the outcome
Pachacha [2.7K]

Answer:

with discount+tax= $23.15

Step-by-step explanation:

board game is 25

discount: 15%

tax: 7.5%

discount means you take off that amount

tax means you add that amount

discount: 15% off

tax: +7.5%

to find 15% of 25 multiply 25 by 15% (15/100=0.15)

25*0.15

= 3.75

then subtract that from 25

25-3.75

=21.25

tax:

0.075*25

=1.875

~1.9

21.25+1.9

=23.15

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3 years ago
Angle W and angle X are congruent. If their sum is 121 degrees, what is the measure of angle X?
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