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3 years ago

Identify the scale factor

Mathematics

2 answers:

adelina 88 [10]3 years ago

8 0

Answer:

The scale factor is 1/6.

Step-by-step explanation:

the larger triangle is 6 times larger than the small triangle because 24 divided by 4 is 6, so therefore the scale factor of the big triangle to the small triangle is 1/6.

nydimaria [60]3 years ago

3 0

Answer:

Step-by-step explanation:

k = 4/24 = 1/6

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A scientist was measuring the daily sodium values of different foods with a soda has 35.64% of the daily value and fries have 32

uysha [10]

Answer:

68.54

Step-by-step explanation:

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3 years ago

The expression 475 * 1.076 ^ t the average annual per capita health care costs, in dollars, in the US as a function of the numbe

Alik [6]

Answer:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

Step-by-step explanation:

For this case we have the following model given:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

7 0

3 years ago

Read 2 more answers

A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou

alexira [117]

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

4 0

3 years ago

Read 2 more answers

Michael invested 5,000 in an account that has a 5.5% annual interest rate. What equation best describes investment after T years

ivolga24 [154]

Answer:

V = 5000 + 275*T for simple annual interest

or: A = 5000 * (1.055)^T for an annual compound interest

Step-by-step explanation:

I assume this is a simple interest rate. If not I will give the one for compound interest.

V = 5000 + 5000* 0.055 * T (Value of account after T years)

V = 5000 + 275*T for simple annual interest

or: A = 5000 * (1.055)^T for an annual compound interest

5 0

2 years ago

A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a

IgorLugansk [536]

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x-----> the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

6 0

2 years ago