What is the area of the figure?

Answers

Answer 1

Answer: First solve for 16x20. 16*20= 320 inches. Now subtract the area that is removed, the 8x8 square. 8*8=64. 320-64=256. Our answer is 256in^2.

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Jennifer cut a board 2 m long into two pieces. one piece is 24 m shorter than the other. find the length of each piece.. Piz help me!!!!!!!!!!!
A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.

What is the time that is 9 hours and 40 minutes before 4:25am

Answers

6:45pm. because from 4 to 12 would be 4 hours then subtract 5 more hours leaves you at 7:25 pm. now subtract 45 from that which leaves you at 6:45 pm.

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload

Answers

Answer:

The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees

Step-by-step explanation:

We need to convert the vectors given to x,y coordinate form.

We use the formula below:

$x=ACos\theta$

$y=ASin\theta$

Where A is the magnitude and $\theta$ is the angle.

Vector A:

$x=ACos\theta\nx=(11.3)Cos(21)\nx=10.55$

and

$y=(11.3)Sin(21)\ny=4.05$

Vector B:

$x=(4.78)Cos(67)\nx=1.87$

and

$y=(4.78)Sin(67)\ny=4.40$

Now we can write the vectors as:

A = <10.55,4.05>

B = <1.87,4.40>

To add, A+B, we have:

A + B = <10.55+1.87, 4.05+4.40>

A + B = < 12.42, 8.45 >

To convert this into magnitude/degree format:

Magnitude = $√((12.42)^2 + (8.45)^2) =15.02$

Angle = $Tan^(-1)((8.45)/(12.42))=34.23$

I am factor of 48, I am bigger than 4 square. I am smaller than 5. WHAT IS THE MYSTERY NUMBER

Answers

If it is betwern 4² and 5² and is a factor of 48,Then it must be 24 as 24*2=48

48 would be your answer, this is a number between the factors 4^2 & 5^2

Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £600

r = 3.2% = 3.2/100 = 0.32

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 600(1 + 0.032/1)^1 × 6

A = 600(1.032)^6

A = £724.82

Determine the number of possible triangles, ABC, that can be formed given A = 150°, a = 7, and b = 4.1
0
2

Answers

1.

When you have the length of two sides and the angle between them, the triangle is totally determined. This is, there is only one segment that can complete the triangle: its length and position is totally fixed.

Answer:

Step-by-step explanation:

The graph below shows the fine that a college student pays to the library based on the number of minutes a loaner laptop is overdue:A graph is shown. The values on the x axis are 0, 2, 4, 6, 8. The values on the y axis are 0, 0.70, 1.40, 2.10, 2.80. Points are shown on ordered pairs 0, 0 and 2, 0.70 and 4, 1.40 and 6, 2.10. These points are joined by a line. The label on the x axis is Minutes Overdue. The title on the y axis is Fine.

Which statement best describes the point (0, 0) on the graph?

No fine is paid if the laptop is returned 1 minute past the time it is due.
A fine of $0.35 is paid if the laptop is returned at the time it is due.
A fine of $0.35 is paid if the laptop is returned 1 minute past the time it is due.
No fine is paid if the laptop is returned exactly at the time at which it is due.

Answers

Answer:

The statement which best describes the point (0, 0) on the graph is:

No fine is paid if the laptop is returned exactly at the time at which it is due.

Step-by-step explanation:

The horizontal axis i.e. the x-axis represent the number of minutes a loaner laptop is overdue.

and the vertical axis i.e, the y-axis represents the fine that a college student pays to the library based on the x-value.

The ordered pairs on the graph are:

(0,0) , (2,0.70) , (4,1.40) and (6,2.10).

The coordinate (0,0) represents that the number of minutes overdue were zero i.e. it is the initial time and at that time there will be no fine on the laptop.

( Since, the first ordinate i.e. time is zero and the second ordinate i.e. the fine is also zero)

This means if the laptop is returned at the right time then there will be no fine.

there is no fine if the laptop is returned when it is due because (0,0) is the origin of a graph so that means its the beginning of the graph so there is no fine

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