All categories

3 years ago

A cruise ship has a large,

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

7 0

Answer:

$28.27m^2$

Step-by-step explanation:

To solve this problem, we can use the area of a circle formula as shown below:

$A=\pi r^2$

A = area

r = radius

First we need to find the radius.

The radius is half of the diameter. For this problem, the radius is going to be 3.

Now, plug the values into the equation:

$A=\pi (3^2)$

$A=28.27$

The window's area is $28.27m^2$

You might be interested in

5-7 <-3 : what is the simplified form of the inequality below ?

Makovka662 [10]

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

7 0

3 years ago

Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

3 years ago

Calculating area of rectangle.

Artemon [7]

Answer:

Your measurements; Area = 216.108 cm²

Another student's measurements; Area = 216.9404 cm²

- Difference in area could be as a result of human error or perhaps that they made use of different measuring tools.

Step-by-step explanation:

For Your measurements;

Length of rectangle = 20.70 cm

Width of rectangle = 10.44 cm

Area of rectangle is given by; A = length × width = 20.7 × 10.44 = 216.108 cm²

For Another student's measurements;

Length of rectangle = 20.74 cm

Width of rectangle = 10.46 cm

Area = 20.74 × 10.46

Area = 216.9404 cm²

The areas they both obtained are not of equal values and this could be as a result of human error or perhaps that they used different measuring tools.

7 0

2 years ago

A rectangular picture frame measures 27 cm by 48 cm. What is the perimeter or distance around the picture frame in meters

Firlakuza [10]

150, you just add the numbers

7 0

3 years ago

Please help! I will mark as brainliest. <3

Ymorist [56]

Answer:

900

Step-by-step explanation:

set both options equal to each other so we know the intersection.

30000 + 20t = 21000 + 30t

now solve for t.

10t = 30000-21000

t = 90000/10

t = 900

6 0

2 years ago