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2 years ago

Identify the missing side length using a scale factor of 1.5.

Mathematics

2 answers:

Zanzabum2 years ago

7 0

Answer:

7.5

Step-by-step explanation:

The width on the left rectangle is 3

Multiply it by the scale factor (1.5) and we get the width of the rectangle on the right

3 * 1.5 = 4.5

Then take the length of the rectangle on the left and multiply it by the scale factor

5 (1.5) = 7.5

The length of the rectangle is 7.5

strojnjashka [21]2 years ago

6 0

Answer:

7.5

Step-by-step explanation:

You really don't have to. Set up a Proportion.

3/4.5 = 5/x Cross multiply

3*x = 4.5 * 5 Combine the right

3x = 22.5 Divide by 3

3x/3 = 22.5/3 Do the division

x = 7.5

=======================

However, you could use a scale factor of 1.5

The parent shape has a length of 5

This is multiplied by 1.5

New length = Old length * Scale factor.

New length = ????

Old length = 5

Scale factor = 1.5

New length = 1.5 * 5 = 7.5

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Draw the image of RST under the dilation with scale factor 5/3 and center of dilation (2.-2).

Vlad [161]

Answer:

Step-by-step explanation:

R(2,3) T(-3,-2) S(2,-2) here are your points.

4 0

2 years ago

What number would you add to the equation below to complete the square?x2 + 4x = 0?

julia-pushkina [17]

------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)² = 0 ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = $\pm$ √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = $\pm$ 2

------------------------------------------------------------------
Solve x
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------

7 0

2 years ago

The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.3 and standard d

Zolol [24]

Answer:

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 69.3, \sigma = 2.8$

Between what two values does that middle 92% of all heights fall?

The middle 92% falls from X when Z has a pvalue of 0.5 - 0.92/2 = 0.04 to X when Z has a pvalue of 0.5 + 0.92/2 = 0.96. So from the 4th percentile to the 96th percentile.

4th percentile

X when $Z = -1.75$