The perimeter of a rectangle is 13cm and its width is 11/4. find its length.

QUESTION POSTED AT 05/12/2019 - 02:42 PM

Answered by admin AT 05/12/2019 - 02:42 PM

Perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

13 = 2l +2* \frac{11}{4}

13 = 2l + \frac{2}{1} * \frac{11}{4}

13 = 2l + \frac{22}{4}     (subtract 22/4 from each side)

13 -\frac{22}{4} = 2l

13 -\frac{11}{2} = 2l

\frac{26}{2}  -\frac{11}{2} = 2l

\frac{15}{2}} = 2l

7.5 = 2l    (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or 3 \frac{3}{4}


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


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

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


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

Find the perimeter of rectangle PQRS with vertices P(0,0), Q(0,7), R(12,7) & S (12,0)

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

See the attachment for diagram

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


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

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

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

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


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

Find the diameter of a circle thr radius of which is 5.5cm

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. find r when s=12 and k=2

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r=ks

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r=24

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


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

What is the ratio of the area of rectangle ABCF to the area of rectangle ABDE?

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

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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

Given that T is equidistant from U and S, find x.

47.2 is the eqivilent


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


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

A square is inscribed in a circle that has a radius of 2√2 inches. What is the length of the side of the square?

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

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


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

Find the sum of the geometric sequence 4, 16, 64, 256, 1024

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

A) The area of a rectangle is 38.25 square yards and its base is 9 yards. What is the height? Do not round your answer.B) The area of a parallelogram is 44.4 square feet and its height is 7.4 feet. What is the length of the base? Do not round your answer.

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

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


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

What operation would I do to find the average of something?

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

The maximum rate at which a bus can accelerate or decelerate is 2m/s^2 it has a maximum speed of 60km/h. Find the shortest time the bus can take to travel between two bus stops 1 km apart on a straight stretch of road.

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
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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

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle? x < 12.5, x > 18.9 12.5 < x < 18.9 x < 6, x > 26 6 < x < 26

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

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


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

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

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.

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


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

Find the angular displacement of 1.9 revolutions. Use π=3.14 . Round the answer to the nearest tenth. 5.7 11.9 13.7 12.5

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. 

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


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

Use the Distributive Property to find the price of 9 CDs that cost $13.99 each. A. $125.91 B. $126.00 C. $126.90 D. $117.00

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

How would I go about finding the Mean absolute Deviation (MAD)?

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
 x_{1} ,  x_{2} , ....... x_{n} is given by:
the summation between the limits n and i=1 of
 \frac{| x_{1}-\bar{x}| }{n}

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


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

How do I find the mean absolute deviation?

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

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


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

Find the 3rd term of an arithmetic sequence with t2 = 9/2 and t5 = 6? 5 4 3 2

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

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


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

Find the 2nd term of an arithmetic sequence if t1 = 0 and t5 = 16? 8 6 4 2

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

t_1=0\\\\t_5=16

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

t_5=0+(5-1)d\\\\t_5=4d\\\\16=4d\\\\d=\dfrac{16}{4}\\\\d=4

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

t_2=0+(2-1)\times 4\\\\t_2=0+4\\\\t_2=4

Hence, Third option is correct.

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


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

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse? 2 cm cm 4 cm cm

See the picture attached to better understand the problem

we know that
AB=4cm \\ AC=4 cm

in the right triangle ADB
angle DBA=angle DAB \\ =45 degrees
cos (DAB)= \frac{AD}{AB}
where
AD is the adjacent side angle DAB (altitude)
AB is the hypotenuse triangle ADB 
Angle DAB=45°
so
solve for AD
AD=AB*cos (45)
AD=4* \frac{ \sqrt{2}}{2} \\ AD=2 \sqrt{2} cm

therefore

the answer is 
the length of the altitude is 2 \sqrt{2} cm

ANSWERED AT 22/01/2020 - 01:43 AM


QUESTION POSTED AT 22/01/2020 - 01:43 AM

Rectangle EFGH has been reflected across the x‐axis and then reflected across the y-axis. Which of the following transformations would return the rectangle to its original position? Reflection across the line y=x Reflection across the x‐axis Reflection across the y‐axis Rotation of 180 degrees around the origin

Answer:

Rotation of 180 degrees around the origin.

Step-by-step explanation:

Given : Rectangle EFGH has been reflected across the x‐axis and then reflected across the y-axis.

To find : Which of the following transformations would return the rectangle to its original position.

Solution :  Rectangle EFGH has been reflected across the x‐axis

suppose coordinate of E(x,y) then after reflected over x axis E would be

( x, -y)

Now, reflect it over y axis then it would become (-x ,-y)

By the reflection 180 degree rule , (x, y) →→→(-x,-y)

Then E (-x ,-y) →→→(x , y)

Hence, it return to its original position .

Therefore, Rotation of 180 degrees around the origin.

ANSWERED AT 22/01/2020 - 01:41 AM


QUESTION POSTED AT 22/01/2020 - 01:41 AM

Use the Distributive Property to find the price of 5 CDs that cost $15.99 each. $75.00 $80.00 $79.95 $80.50

The Distributive Property suggests that we multiply the price of each CD with the number of CDs to calculate the total price. Mathematically, the step is shown below.
                              total cost = ($15.99 / CD) x (5 CD) = $79.95

Thus, the answer is the third choice. 

ANSWERED AT 22/01/2020 - 01:37 AM


QUESTION POSTED AT 22/01/2020 - 01:37 AM

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find the length of the rectangle? l(l – 2) = 168 l(l + 2) = 168 2l 2 = 168 1/2 l 2 = 168

The area (A) of the triangle is the product of its length (l) and width (w). A = l x w. Since the width is 2 m shorter than the length, it may be expressed as w = l -2. The equation for area becomes,
                          A = l x (l - 2)
Substituting the known area and rearranging the equation gives,
                           l(l - 2) = 168.

ANSWERED AT 22/01/2020 - 01:36 AM


QUESTION POSTED AT 22/01/2020 - 01:36 AM