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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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11. A tournament has 12 hockey teams participating. Find the number of different ways that teams can win gold, silver, and bronz
lara [203]
Since order is important...

12!/(12-3)!=1320

or if you prefer

12*11*10=1320
8 0
3 years ago
A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m
Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46  

- The sample mean  after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

                           Cohen's d = \frac{u2 - u1}{sd_p_o_o_l_e_d}

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

                          sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }

- Assuming that population standard deviation and sample standard deviation are same:

                          SD_1 = SD_2 =  σ = 4

- Then,

                           sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4

- The cohen's d can now be evaliated:

                          Cohen's d = \frac{48 - 46}{4} = 0.5

6 0
3 years ago
A bakery sells 6 bagels for $3.99 and 4 muffins for $2.29. What is the total
nignag [31]
$15.96 for bagels, $6.87 for muffins
6 0
3 years ago
Please help me, I don’t understand
White raven [17]

Answer:

73, 74, 75

Step-by-step explanation:

So the sum of three consecutive integers is 222.

Let's let the first integer be n.

Then the second integer <em>must</em> be (n+1).

And the third integer must be (n+2).

They total 222, thus:

n+(n+1)+(n+2)=222

Combine like terms:

3n+3=222

Subtract 3 from both sides:

3n=219

Divide both sides by 3:

n=73

So, the first integer is 73.

So our sequence is 73, 74, and 75.

And we're done!

5 0
3 years ago
Given the proportion x/y = 2/5, what ratio completes the equivalent proportion: x/2= ?/?
prohojiy [21]
Cross multiply the original proportion

5x = 2y Divide by 2
5x/2 = y Now divide by 5
x/2 = y/ 5

So the answer is y/5

8 0
3 years ago
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