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3 years ago

Calculate the area of the shaded region

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

The two formulas you have to know is how to find the area of a rectangle and circle
-rectangle is a=b
-circle is a=3.14r squared.
Start by finding the area of the rectangle
A=bh
A=15*8
A=120

Next find the area of the circle
A=3.14r squared
A=3.14*8.5 squared
A=3.14*72.25
A=226.865

Then you are going to subtract the rectangle from he circle so you can just have the area of the shaded portion. So the area of the shaded area is 106.865. I hope this helps you for future problems :)

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Z varies directly with q. when z=2,q=1 . find a formula connecting z and q z=???

Lostsunrise [7]

Answer:

$z = \frac{q}{2}$

Step-by-step explanation:

$z \infty q$

$z = kq$

$z = 2 \: and \: q = 1$

$2 = k1$

$k = \frac{2}{1}$

$z = \frac{1}{2} q$

$z = \frac{q}{2}$

8 0

3 years ago

Read 2 more answers

An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of

never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an exponential equation.

General form of an exponential function:

$f(x)=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment decreases by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

$f(x)=1000000(0.978)^x$

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

$\implies f(10)=1000000(0.978)^{10}=800500.1586$

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0

1 year ago

What is the point slope form of a line with slope 3 that contains the point (2,1)

Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0

3 years ago

Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it

dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024 Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24 You should always round at the last step.

3 0

3 years ago

In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased.

r-ruslan [8.4K]

This question is the same as one asking you for the slope of the given function / line. It's immediately apparent from the function that the slope is $15.00/unit.

8 0

3 years ago