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max2010maxim [7]
3 years ago
14

What exactly is scale factor and dilation? my teacher really don't know what she doing fr.

Mathematics
2 answers:
Romashka [77]3 years ago
4 0

Answer:

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.

Step-by-step explanation:

Hope this will help ^^

ki77a [65]3 years ago
3 0
Ummm could ya like plzzzz
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A right triangle has leg measures of 8 and 15 inches. What is the area and perimeter of the triangle?
rewona [7]

Hello!

<h3><em><u>Answer</u></em></h3>

The area of the right triangle is 30 in^{2}. The perimeter is 40 in.


<h3><em><u>Explanation</u></em></h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + 15^{2} = c^{2}

64 + 225 = c^{2}

√289 = c^{2}

17 = c

Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

<h3>AREA:</h3>

A = \frac{bh}{2}

A = (15 × 8) ÷ 2

A = 30

<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40


8 0
3 years ago
Evaluate the formula V = Bh3 V equals the quantity B multiplied by h end of quantity divided by 3 for B = 4 cm2 and h = 6 cm.
Marat540 [252]

Answer:

V = 8 cm³

Step-by-step explanation:

This is basically the formula for volume of pyramid:

Volume of Pyramid = 1/3 × Base Area x Height

OR

Volume of Pyramid = (Base Area x Height)/3

V = Bh/3

Given:

B = 4 cm²

h = 6 cm

V = Bh/3

  = (4 x 6) / 3

  = 24 / 3

V = 8

Hence

V = 8 cm³

If you want to represent this into inches simply divide 8 with 2.54 as

1 cm = 2.54 inches So,

8 cm / 2.54 cm  =  3.15 in

8 0
3 years ago
Hello If You Have Please Help Thank You<br> Solve for x.<br><br> −7x−15&lt;6
bonufazy [111]

Answer:

x > -22/7

Step-by-step explanation:

Given inequality:

- 7x - 15 < 6

<em>adding 15 to both sides:</em>

==> -7x - 15 + 15 < 6 + 16

==> -7x < 22

<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>7</em><em>:</em>

==> -x < 22/ 7

<em>multiplying</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em>

<em>(</em><em>anytime</em><em> </em><em>you</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>inequality</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em><em> </em><em>you</em><em> </em><em>must</em><em> </em><em>flip</em><em> </em><em>th</em><em>e inequality sign–</em><em> </em><em>r</em><em>e</em><em>p</em><em>l</em><em>a</em><em>c</em><em>e</em><em> </em><em>the</em><em> </em><em>"</em><em><</em><em>"</em><em> </em><em>with</em><em> </em><em>"</em><em>></em><em>"</em><em>)</em>

==> <u>x > -22/7</u>

3 0
2 years ago
Please help me I don’t understand this and I really need to get my grade up.
Ksivusya [100]

Answer:F=7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

Z = \frac{X - \mu}{\sigma}

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
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