# Find the width of a rectangle with a perimeter of 90 and a length of 15

QUESTION POSTED AT 05/12/2019 - 06:58 AM

QUESTION POSTED AT 05/12/2019 - 06:58 AM

**Answer:**

** width = 30 units .**

**Step-by-step explanation:**

Given : perimeter of 90 and a length of 15.

To find : Find the width of a rectangle.

Solution : We have given

Perimeter = 90

Length = 15.

**Perimeter of rectangle = 2 ( length+ width).**

Plugging the values

90 = 2 (15+ width).

On dividing both sides by 2

45 = 15 + width

On subtracting both sides by 15

45 - 15 = width.

30 units = width.

**Therefore, width = 30 units .**

Cant get any number without a decimal other than that none work

ANSWERED AT 22/01/2020 - 02:23 AM

QUESTION POSTED AT 22/01/2020 - 02:23 AM

If this is all the information you have I can explain it like this.

Your original coordinates are written in the form (x,y).

If you rotate the quadrilateral about the origin 90 degrees, it will be (-y,x).

For example, if the original coordinates for A is (4,6), then A' is (-6,4).

Your original coordinates are written in the form (x,y).

If you rotate the quadrilateral about the origin 90 degrees, it will be (-y,x).

For example, if the original coordinates for A is (4,6), then A' is (-6,4).

ANSWERED AT 22/01/2020 - 02:23 AM

QUESTION POSTED AT 22/01/2020 - 02:23 AM

The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.

ANSWERED AT 22/01/2020 - 02:23 AM

QUESTION POSTED AT 22/01/2020 - 02:23 AM

Apply heron's formula to get the area of the triangle.

since it is an equilateral triangle, we know that each side is 32mm.

we get the length of the line (h) from area = bh/a

27.7

since it is an equilateral triangle, we know that each side is 32mm.

we get the length of the line (h) from area = bh/a

27.7

ANSWERED AT 22/01/2020 - 02:19 AM

QUESTION POSTED AT 22/01/2020 - 02:19 AM

P=7+7+12+12P=14+24P=38

See the attachment for diagram

See the attachment for diagram

ANSWERED AT 22/01/2020 - 02:17 AM

QUESTION POSTED AT 22/01/2020 - 02:17 AM

Okay, so this is a multi-step problem. If there are 82 students, and the cost was $3.75 PER student, we would multiply 3.75 times 82 to get 307.50, and now we would subtract the total amount of sales, ($2,071.50), MINUS the ticket sales made by students, ($307.50). So 2,071.50 - 307.50 = 1,764.

So this means that they made $1,764 in ticket sales from ADULTS. Now to find out how many adults were THERE, (or the amount of adult tickets that were sold), we will divide 1,764 divided by the price of each adult ticket, ($10.50), which will be 1,764 divided by 10.50 = 168.

**168 adult tickets were sold.**

I hope I helped! =D

So this means that they made $1,764 in ticket sales from ADULTS. Now to find out how many adults were THERE, (or the amount of adult tickets that were sold), we will divide 1,764 divided by the price of each adult ticket, ($10.50), which will be 1,764 divided by 10.50 = 168.

ANSWERED AT 22/01/2020 - 02:16 AM

QUESTION POSTED AT 22/01/2020 - 02:16 AM

**Answer:**

C, yes cause he took a random sample,

ANSWERED AT 22/01/2020 - 02:14 AM

QUESTION POSTED AT 22/01/2020 - 02:14 AM

**Answer:**

16.67°

**Step-by-step explanation:**

ANSWERED AT 22/01/2020 - 02:14 AM

QUESTION POSTED AT 22/01/2020 - 02:14 AM

If R = 1/2 D, then D = 2R. if the radius is 5.5, then plug it in and you get 5.5 times 2. Or 11.

ANSWERED AT 22/01/2020 - 02:14 AM

QUESTION POSTED AT 22/01/2020 - 02:14 AM

r varies directly as s,

r=ks

r=(2)(12)

r=24

r=ks

r=(2)(12)

r=24

ANSWERED AT 22/01/2020 - 02:13 AM

QUESTION POSTED AT 22/01/2020 - 02:13 AM

The ratio of the area is 2/3

ANSWERED AT 22/01/2020 - 02:09 AM

QUESTION POSTED AT 22/01/2020 - 02:09 AM

1 is the correct answer because just look at the facts

ANSWERED AT 22/01/2020 - 02:08 AM

QUESTION POSTED AT 22/01/2020 - 02:08 AM

cos(x) = sin(x + 20)

cos(x) = sin(x)cos(20) + cos(x)sin(20)

cos(x) cos(x)

1 = tan(x)cos(20) + sin(20)

cos(20) cos(20)

sec(20) = tan(x) + tan(20)

1.06 ≈ tan(x) + 0.36

- 0.36 - 0.36

0.7 = tan(x)

tan⁻¹(0.7) = tan⁻¹[tan(x)]

35 = x

0 < x < 90

0 < 35 < 90

cos(x) = sin(x)cos(20) + cos(x)sin(20)

cos(x) cos(x)

1 = tan(x)cos(20) + sin(20)

cos(20) cos(20)

sec(20) = tan(x) + tan(20)

1.06 ≈ tan(x) + 0.36

- 0.36 - 0.36

0.7 = tan(x)

tan⁻¹(0.7) = tan⁻¹[tan(x)]

35 = x

0 < x < 90

0 < 35 < 90

ANSWERED AT 22/01/2020 - 02:06 AM

QUESTION POSTED AT 22/01/2020 - 02:06 AM

47.2 is the eqivilent

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

When a square (or any rectangle) is inscribed in a circle, the diagonal

of the square (or rectangle) is a diameter of the circle.

Diagonal of this square = diameter = 2 x radius = 4√2 inches.

But the diagonal of a square is the hypotenuse of the right triangle that's

formed by cutting the square in half corner-to-corner.

So (diagonal)² = (side)² + (side)²

2 (side)² = (diameter)²

2 (side)² = (4√2)²

2 (side)² = 16 x 2 = 32

(side)² = 16

side =**4 inches**

of the square (or rectangle) is a diameter of the circle.

Diagonal of this square = diameter = 2 x radius = 4√2 inches.

But the diagonal of a square is the hypotenuse of the right triangle that's

formed by cutting the square in half corner-to-corner.

So (diagonal)² = (side)² + (side)²

2 (side)² = (diameter)²

2 (side)² = (4√2)²

2 (side)² = 16 x 2 = 32

(side)² = 16

side =

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

**Answer:**

4

**Step-by-step explanation:**

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

ANSWERED AT 22/01/2020 - 02:02 AM

QUESTION POSTED AT 22/01/2020 - 02:02 AM

The answer is C because 6 goes into 6 one time, and 30 five times, giving you 5:1.

ANSWERED AT 22/01/2020 - 02:01 AM

QUESTION POSTED AT 22/01/2020 - 02:01 AM

A). area of a rectangle equal length time width

in this case

38,25 = 9*h

h = 38,25/9 = 4,24

B). area of a parallelogram equal 44,4 square feet and its height is 7,4 feet

Area = length of base time height

44,4 = l * 7,4

l = 44,4 / 7,4 = 6 ft

in this case

38,25 = 9*h

h = 38,25/9 = 4,24

B). area of a parallelogram equal 44,4 square feet and its height is 7,4 feet

Area = length of base time height

44,4 = l * 7,4

l = 44,4 / 7,4 = 6 ft

ANSWERED AT 22/01/2020 - 01:59 AM

QUESTION POSTED AT 22/01/2020 - 01:59 AM

Sum divided by count. Add up all the numbers and divide it by how many numbers it is.

ANSWERED AT 22/01/2020 - 01:58 AM

QUESTION POSTED AT 22/01/2020 - 01:58 AM

Question did not specify that bus was stationary at any point.

60 km/h = 60000/3600 m/s = 16.67 m/s

Shortest time to travel = distance / speed = 1000/(50/3)=60 sec. = 1 min.

If we assume bus was stationary at each stop (if passengers have to get on/off), then acceleration is involved.

Note: at 2 m/s, the bus accelerates from stationary to 60 km/h in 8 seconds!

Using kinematics equation

2aS=v^2-u^2

we have

a=acceleration = 2m/s

S=distance

u=0 initial speed

v=final speed=50/3 m/s=60 km/h

Distance travelled = (v^2-u^2)/(2a)=(50/3)^2/(2*2)=625/9 m=69.33 m.

Remaining distance at 60 km/h

=1000-69.44-69.44=861.11 m

time to travel = 861.11/(50/3)=51.67 s.

Time to accelerate/decelerate= (50/ 3)/2 m/s / m/s^2 = 8.333 s.

Total time = 51.67+2*8.33=68.33 s.

60 km/h = 60000/3600 m/s = 16.67 m/s

Shortest time to travel = distance / speed = 1000/(50/3)=60 sec. = 1 min.

If we assume bus was stationary at each stop (if passengers have to get on/off), then acceleration is involved.

Note: at 2 m/s, the bus accelerates from stationary to 60 km/h in 8 seconds!

Using kinematics equation

2aS=v^2-u^2

we have

a=acceleration = 2m/s

S=distance

u=0 initial speed

v=final speed=50/3 m/s=60 km/h

Distance travelled = (v^2-u^2)/(2a)=(50/3)^2/(2*2)=625/9 m=69.33 m.

Remaining distance at 60 km/h

=1000-69.44-69.44=861.11 m

time to travel = 861.11/(50/3)=51.67 s.

Time to accelerate/decelerate= (50/ 3)/2 m/s / m/s^2 = 8.333 s.

Total time = 51.67+2*8.33=68.33 s.

ANSWERED AT 22/01/2020 - 01:53 AM

QUESTION POSTED AT 22/01/2020 - 01:53 AM

148 x 3 = 4 hours and 48 minutes

ANSWERED AT 22/01/2020 - 01:53 AM

QUESTION POSTED AT 22/01/2020 - 01:53 AM

So because we know that the 3rd side of a triangle not can being less than the difference of the first and second sides and so not can being greater than the sum of the first and second sides so from these result that the last one choice will be right sure

6 < x < 26

6 < x < 26

ANSWERED AT 22/01/2020 - 01:52 AM

QUESTION POSTED AT 22/01/2020 - 01:52 AM

Let x be the third side. The two cases that allow us to determine the length of the third side are: (1) let x be the hypotenuse and (2) let 8 be the hypotenuse and solve for x. Through the Pythagorean theorem,

Case 1. x² = 8² + 5² ; x = 9.4

Case 2. 8² = x² + 5² ; x = 6.2

Thus, the difference is approximately 3.2.

Case 1. x² = 8² + 5² ; x = 9.4

Case 2. 8² = x² + 5² ; x = 6.2

Thus, the difference is approximately 3.2.

ANSWERED AT 22/01/2020 - 01:52 AM

QUESTION POSTED AT 22/01/2020 - 01:52 AM

To answer the question above, convert the given displacement in revolutions to radians. The conversion factor is 1 revolution is equal to 6.28 radians.

(1.9 rev) x (6.28 radians / 1 rev) = 11.932 radians

Thus, the closest to this value is 11.9 and the answer is the second choice.

(1.9 rev) x (6.28 radians / 1 rev) = 11.932 radians

Thus, the closest to this value is 11.9 and the answer is the second choice.

ANSWERED AT 22/01/2020 - 01:51 AM

QUESTION POSTED AT 22/01/2020 - 01:51 AM

**Answer:**

Correct option is:

A. $125.91

**Step-by-step explanation:**

Cost of each CD= $13.99

Cost of 9 CDs= $13.99×9

= $ 13.99(10-1)

= $ (13.99×10-13.99×1) (using distributive property)

= $ (139.9-13.99)

= $125.91

**Hence, Correct option is:**

**A. $125.91**

ANSWERED AT 22/01/2020 - 01:51 AM

QUESTION POSTED AT 22/01/2020 - 01:51 AM

The MAD is the mean of the absolute values of the differences between the values of a variable and the mean of its distribution. Therefore the MAD of

is given by:

**the summation between the limits n and i=1 of**

is given by:

ANSWERED AT 22/01/2020 - 01:50 AM

QUESTION POSTED AT 22/01/2020 - 01:50 AM

The mean absolute deviation of a set of data is the average distance between each data value and the mean.

SO add up all the numbers and then divide the # of numbers. Hope this will help

SO add up all the numbers and then divide the # of numbers. Hope this will help

ANSWERED AT 22/01/2020 - 01:49 AM

QUESTION POSTED AT 22/01/2020 - 01:49 AM

T1 + d = 9/2

t5 = t1 + 4d = 6

Now we have two simultaneous equations:

t1 + 4d = 6 ............(1)

t1 + d = 9/2 ...........(2)

Subtracting (2) from (1) gives:

3d = 3/2

So the common difference d = 1/2

and by substitution in (1) we find t1 = 4

Therefore the 3rd term = 4 + (2 * 1/2) = 5

t5 = t1 + 4d = 6

Now we have two simultaneous equations:

t1 + 4d = 6 ............(1)

t1 + d = 9/2 ...........(2)

Subtracting (2) from (1) gives:

3d = 3/2

So the common difference d = 1/2

and by substitution in (1) we find t1 = 4

Therefore the 3rd term = 4 + (2 * 1/2) = 5

ANSWERED AT 22/01/2020 - 01:46 AM

QUESTION POSTED AT 22/01/2020 - 01:46 AM

**Answer: Third option is correct.**

**Step-by-step explanation:**

Since we have given that

Since they are in A.P., so it becomes,

So, second term of an A.P. would be

**Hence, Third option is correct.**

ANSWERED AT 22/01/2020 - 01:45 AM

QUESTION POSTED AT 22/01/2020 - 01:45 AM

**Answer:**

The correct option is D.

**Step-by-step explanation:**

The given function is

Using algebraic property:

A rational function is discontinuous at that point where the value of denominator equal to 0.

Equate denominator equal to 0.

Therefore function is discontinuous at .

The discontinuity of the function is

**The function f(x) is not defined at .Therefore option D is correct.**

ANSWERED AT 22/01/2020 - 01:45 AM

QUESTION POSTED AT 22/01/2020 - 01:45 AM