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wariber [46]
2 years ago
14

Rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Mathematics
1 answer:
Olegator [25]2 years ago
7 0

Answer:

36 units²

Step-by-step explanation:

rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

we use the inverse formula

12 * 3 =<em> </em>

<em>36 units²</em>

<em>-----------------------</em>

check

36 : 12 = 3

the answer is good

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The population of Baltimore was 520,000 in 2000. Now its 750,000. What was the change in population? What was the precent of cha
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Lily likes to collect records. Last year she had 15 records in her collection. Now she has 24 records.
Nesterboy [21]

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The percent increase of her collection is 60%

Step-by-step explanation:

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2m=-6n-5 literal equation
Bingel [31]

Answer:

read below

Step-by-step explanation:

Alright, archtan /  

tan

−

1

(

x

)

is the inverse of tangent. Tan is  

sin

cos

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Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.

Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

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8 0
3 years ago
The data set below shows the temperature, in degrees Fahrenheit, of a mug of tea compared tothe time in minutes after being pour
Verizon [17]

Given the model of the Exponential Regression:

y=174.4(0.987)^x

By definition:

Residual=Observed\text{  }y\text{ }value-Predicted\text{ }y\text{ }value

You can see in the table the observed y-values (the temperature in Fahrenheit)

In order to find the Predicted y-values, you need to substitute all the x-values given in the table (the time in minutes) into the equation and then evaluate. You get:

y=174.4(0.987)^5\approx163.35y=174.4(0.987)^8\approx157.07y=174.4(0.987)^{11}\approx151.02y=174.4(0.987)^{15}\approx143.32y=174.4(0.987)^{18}\approx137.80y=174.4(0.987)^{22}\approx130.77y=174.4(0.987)^{25}\approx125.74y=174.4(0.987)^{29}\approx119.33y=174.4(0.987)^{32}\approx114.73y=174.4(0.987)^{35}\approx110.32

Now you have these points:

(5,163.35),(8,157.07),(11,151.02),(15.143.32)(18,137.800),(22,130.77),(25,125.74),(29,119.33),(32,114.73),(35,110.32)

Therefore, you can plot them on the Coordinate Plane:

By definition, when the residual plot shows a pattern, a non-linear regression model is appropriate for the data. Therefore, the Exponential Regression Model is a good fit.

Hence, the answer is:

- Residual Plot:

- First option.

6 0
2 years ago
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