What is the definition of a surd. Give an example.

Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

so

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

3 0

3 years ago

James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot

mariarad [96]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to $\frac{21,900}{1,000} kg$

$21,900g = \frac{21,900}{1,000} kg$

$21,900g = 21.9 kg$

Hence, the quantity of sandbox James has is 21.9kg

7 0

3 years ago

The terminal point of Dis ( 1/2,3/2). What is cos 0?

nydimaria [60]

Answer:

(c). $\frac{1}{2}$

Step-by-step explanation:

The cosine is the "x" coordinate of the terminal point on the unit circle.

Thus the answer is (c).  $\frac{1}{2}$

5 0

3 years ago

Jennifer is leasing a car from a local auto retailer. The terms of the lease include a 9% interest rate for 36 months with a res

katrin [286]

1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:

57%/100=0.57

residual value=$17,500*0.57= $9,975

2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:

car value=$17,500-$9,975=$7,525

3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:

Interest rate=9%/100=0.09

Money factor=0.09x2400
Money factor=0.00375

4. The interest is:

I=($17,500+$9,975)(0.00375)
I=$103.03

5. Therefore, the monthly payment is:

Monthly payment=(car value/36 months)+Interest
Monthly payment=($7,525/36)+$103.03
Monthly payment=$209.02+$103.03
Monthly payment=$312.06

What will Jennifer’s monthly lease payment be?

The answer is: d. $312.06

6 0

3 years ago

Read 2 more answers

I'm 9 yrs old if I lived 9x365 yrs old how old did I live

erastovalidia [21]

3285 that's your answer

8 0

3 years ago

Read 2 more answers

What is the definition of a surd.Give an example.​

What is the definition of a surd.Give an example.