These are two similar triangles

Using rounding to estimate the solution to the problem. 538-714 Be sure to give the estimated solution, not the exact solution.

amid [387]

Answer:

1. -370

2. 70

3. 10.75

4. 6700

5. 37.26

Step-by-step explanation:

1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.

2. Same thing as #1

3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.

4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.

5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73

Hope this helped, good luck!

5 0

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

Use a calculator to find the given value. Round to four decimal places.

KiRa [710]

After using a calculator to find sin 21 degrees and rounding it to four decimal places, I got 0.3584. The correct answer between all the choices given is the first choice. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0

3 years ago

Read 2 more answers

What is the radius of a circle in which a 30 degrees arc is 2 inches long

igomit [66]

arc length = pi /180 * angle in degree * radius

2 = pi/180 * 30 *r

2 = pi/6 *r

multiply by 6/pi

12/pi =r

3.819718634 =r

Answer: r =3.82 inches

6 0

3 years ago

At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) = 128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) = 128°(0.989)^22.3 + 72 = 172°

8 0

3 years ago