Find the value of L. Perimeter = 20. Width is 6. So what is L? On a square

QUESTION POSTED AT 05/12/2019 - 05:54 PM

Answered by admin AT 05/12/2019 - 05:54 PM


Well first of all, that's not a square.  On a square, all 4 sides are
the same, and the length is the same distance as the width.  If the
width of a square is 6, and all four sides are the same, then the
perimeter is (4 x 6) = 24. 

So the shape in your question may be a rectangle, but it's definitely
not a square one.

The perimeter is the distance an ant has to walk if you put him down
on one corner and he walks all the way around the shape until he gets
back to where he started from. 
That's the perimeter.

If you set the ant down on the corner of a rectangle, then he walks the
length, then the width, the the length again, then the width again, and
he's back where he started.

That was 2 lengths and 2 widths ... the perimeter of every rectangle.

Take 2 widths away from the perimeter, and you have 2 lengths left.  OK ?

You said that the width of your rectangle is 6.  Two widths is 12.
Take the 2 widths away from the perimeter, and you're left with (20 - 12) = 8.
But that's 2 lengths !
So the length is half of 8  =  4 .

Post your answer

Related questions

Dpoiski2 Find the perimeter of a rectangle with l = 0.85 m and w = 0.4 m. A. 1.25 m B. 2.5 m C. 0.34 m D. 0.68 m Unsubscribe

For this question the answer is 2.5m (B)
You find this by: L=0.85m
W=0.4m

A rectangle had 4 sides (2 lengths and 2 widths)
So...
To find 1 length and 1 Width you do 0.85+0.4=1.25m
Now you want to find the other 2 sides (L and W)
You can do: the same method and add it to 1.25m OR...
You can do (I prefer this one): (0.85+0.4)x2=?
This is the same as 0.85+0.4=1.25
1.25x2=2.5m

ANSWERED AT 18/01/2020 - 07:41 AM


QUESTION POSTED AT 18/01/2020 - 07:41 AM

Find an equation that models a hyperbolic lens with a = 12 inches and foci that are 26 inches apart. Assume that the center of the hyperbola is the origin and the transverse axis is vertical.

The general form for a hyperbola with the center at the origin and a vertical transverse axis is:
y2/a2 - x2/b2 = 1

From the given:
a = 12

To get b, we use the given distance between the foci.Since it's 26,
c = 26/2 = 13

Using this defintion:
c2 = a2 + b2
b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:
y2/13^2 - x2/5^2 = 1
or
y2/169 - x2/25 = 1

ANSWERED AT 18/01/2020 - 07:36 AM


QUESTION POSTED AT 18/01/2020 - 07:36 AM

Tara is using matrix multiplication to find image points of a translation. She is translating the image 2 units left and 4 units up. Which should be her first matrix?

Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.

Matrix:
| 0 0 -2 |(x) = (x - 2)
| 0 0 4  |(y) = (y + 4)
| 0 0 1  |(1) = 1

ANSWERED AT 18/01/2020 - 07:35 AM


QUESTION POSTED AT 18/01/2020 - 07:35 AM

The city wants to build a football field. Each wheelbarrow full of dirt covers an area of 10x squared. Determine how many wheelbarrows full of dirt they need for the field below. One side of the rectangle is just 5x squared. The other side is 10x square plus 90x.

As this is a unitless problem, let us try to deal with it as if it does have units. Since we are already given the length and width of a rectangle, we can solve for the area by multiplying. After getting the area, we divide this by the area a wheelbarrow can cover to obtain the expression for how many wheelbarrows we need.

Rectangle length = 10x^2 + 90x
Rectangle width = 5x^2
Rectangle area = length * width = 5x^2(10x^2 + 90x)

Rectangle area = 50x^4 + 450x^2

Dividing:

          _5x^2_+_45____10x^2|50x^4 + 450x^2           50x^4          --------                        450x^2                        450x^2                         ---------                                  0

Therefore, the expression for how many wheelbarrows are to be used is 5x^2 + 45 wheelbarrows.

ANSWERED AT 18/01/2020 - 07:33 AM


QUESTION POSTED AT 18/01/2020 - 07:33 AM

2.) What value for c will make the expression a perfect square trinomial? x2 – 7x + c -49/4 -7/2 7/2 49/4

Answer :  \frac{49}{4}

Given expression is   x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is  \frac{-7}{2}

Square of  \frac{-7}{2}  is  (\frac{-7}{2})^2  =  \frac{49}{4}

So the expression becomes   x^2 - 7x +  [tex] \frac{49}{4}  that gives perfect square trinomial

Hence , the value of 'c' is  \frac{49}{4}


ANSWERED AT 18/01/2020 - 07:30 AM


QUESTION POSTED AT 18/01/2020 - 07:30 AM

Between which two integers does square root of 178 lie? A. 13 and 14 B. 17 and 18 C. 88 and 90 D. 177 and 179

A.13 and 14 because 13 squared is 169 and 14 squared is 196.

ANSWERED AT 18/01/2020 - 07:27 AM


QUESTION POSTED AT 18/01/2020 - 07:27 AM

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)? graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 One Two Three Four

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

f(x)=-\frac{11}{3}x+ \frac{11}{3}

g(x)=x^{3}+2x^{2}-x-2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

x=1

There is only one point of intersection both graphs

therefore

The total number of solutions is one


ANSWERED AT 18/01/2020 - 07:23 AM


QUESTION POSTED AT 18/01/2020 - 07:23 AM

Find the perimeter of a rectangular swimming pool that measures 12 feet by 22 feet.

The perimeter is 78ft. You do 12 times 2 plus 22 time 2 because a rectangle has 2 sets of equal sides.

ANSWERED AT 18/01/2020 - 07:18 AM


QUESTION POSTED AT 18/01/2020 - 07:18 AM

For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut in half, how would the changes affect the surface area formula?

The surface area of a rectangular prism is this:
SA = LW + LH + LH

Here are the changes:
L --> (2/3)L
W --> 4W
H --> H/2

So, the new surface area is:
SA' = (2/3)L (4W) + (2/3)L (H/2) + 4W (H/2)
SA' = (8/3) LW + (1/3) LH + 2 WH

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

What value of a makes the equation true 18/60=12/a a 30 b 4 c 20 d 40

The answer is d 40
by applying the cross product

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

Find the length of the unlabeled leg of the right triangle if the hypotenuse is 13 amd bottom leg is 12

Ok so
for a right triangle with legs legnth a and b, and hypotnuse legnth c
a^2+b^2=c^2

hypotonuse is 13
one leg is 12
other leg is ?
a=12
b=?
c=13

sub and find ?
12^2+?^2=13^2
144+?^2=169
minus 169 both sides
?^2=25
sqrt bot sies
?=5

the legnth is 5 units

ANSWERED AT 18/01/2020 - 07:15 AM


QUESTION POSTED AT 18/01/2020 - 07:15 AM

Find the quotient of -16 and 4. -64 64 -4 4

The answer is -4 hope this helps

ANSWERED AT 18/01/2020 - 07:15 AM


QUESTION POSTED AT 18/01/2020 - 07:15 AM

Which equation can be used to find the perimeter of a regular octagon with sides of length 12 m? A. P = 8 + 12 B. P = 8(12) C. P = 12 ÷ 8 D. P = 2(8) + 2(12)

The basic definition of a perimeter is the boundary line of an object. For shapes and figures, this is basically the sum of the outermost sides that define the object. Since an octagon has eight sides, with each side measuring 12m, the perimeter can be obtained by multiplying 12 m by 8 sides, or in equation form:

P = 8(12)

Among the choices, this is letter B.

ANSWERED AT 18/01/2020 - 07:14 AM


QUESTION POSTED AT 18/01/2020 - 07:14 AM

The angle of depression from the basketball hoop to Claire’s eyes is 9.2°. The vertical distance from the ground to Claire’s eyes is 5.6 feet. Using the diagram, find the height of the basketball hoop to the nearest tenth.

we will isolate that right triangle marked off with the little angle thing.
We know that, in that right triangle, one of the legs measures 22 ft, and the angle (adjacent) to it, meausres 9.2 degreesIn this case, tan9.2=x/22 where x is that unkown length
cross multiply.
your final answer is equal to x+5.6

ANSWERED AT 18/01/2020 - 07:13 AM


QUESTION POSTED AT 18/01/2020 - 07:13 AM

Three sides of a quadrilateral measure 2.5 centimeters, 1.8 centimeters, and 9 centimeters. If the perimeter of the quadrilateral is 20.9 centimeters, what is the length of the fourth side? 34.2 cm 15.7 cm 7.6 cm 7 cm

Answer:

Option (c) 7.6 cm is the correct answer

Step-by-step explanation:

Three sides of a quadrilateral measure 2.5 cm, 1.8 cm, and 9 cm.

Perimeter of the quadrilateral  is 29.9 cm

Then we have to find the length of 4th side.

Since perimeter of any quadrilateral = sum of all four sides

so by using this formula

20.9 = 13.3 + x

x = 20.9 - 13.3

x = 7.6 cm

Option (c) 7.6 cm is the correct answer

ANSWERED AT 18/01/2020 - 07:13 AM


QUESTION POSTED AT 18/01/2020 - 07:13 AM

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet. 6 feet 16 feet 12 feet 4 feet

The height is 12 feet. The formula for volume for a pyramid is V=1/3Bh. *the big "b" means you have to find the area of the base=4. 8=1/3×2×h -- ----------- 2 2 (3) 4=1/3×h (3) 12=h

ANSWERED AT 18/01/2020 - 07:11 AM


QUESTION POSTED AT 18/01/2020 - 07:11 AM

Which products result in a perfect square trinomial? Check all that apply. A=(–x + 9)(–x – 9) B=(xy + x)(xy + x) C=(2x – 3)(–3 + 2x) D=(16 – x2)(x2 – 16) E=(4y2 + 25)(25 + 4y2)

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

ANSWERED AT 18/01/2020 - 07:11 AM


QUESTION POSTED AT 18/01/2020 - 07:11 AM

Find the product. (n + 7)2

(x-7)^2 = (x-7)(x-7) = x^2 -7x -7x +49 = x^2-14x+49
answer is 'x^2+14x+49'

ANSWERED AT 18/01/2020 - 07:10 AM


QUESTION POSTED AT 18/01/2020 - 07:10 AM

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below. x – y = 4 x + y = 18 Which two numbers did Mira pick? (10, 8) (18, 4) (20, 16) (40, 32)

Let

x------> the first number

y-----> the second number

Assume x> y

we know that

x-y=4 ----> equation A

\frac{x}{2}+ \frac{y}{2}=18

Multiply by 2 both sides

x+y=36-----> equation B

Adds equation A and equation B

x-y=4 \\x+y=36\\------- \\ x+x=4+36\\ 2x=40\\ x=20

Find the value of y

20-y=4

y=20-4=16

therefore

the answer is the option

(20,16)

ANSWERED AT 18/01/2020 - 07:05 AM


QUESTION POSTED AT 18/01/2020 - 07:05 AM

What is the perimeter of a rectangle with a width of 23.6 cm and a length of 52.9 cm? A. 76.5 cm B. 100.1 cm C. 153 cm D. 180 cm

C because 23.6 times two is 47.4 and 52.9 times two is 105.8, add those two together to get c

ANSWERED AT 18/01/2020 - 07:04 AM


QUESTION POSTED AT 18/01/2020 - 07:04 AM

Find the equation of the circle whose center and radius are given. center ( -2, -5), radius = 1

Answer:  The required equation of the circle is x^2+y^2+4x+10y+28=0.

Step-by-step explanation:  We are given to find the equation of the circle with center (-2, -5) and radius of length 1 unit.

We know that

the standard equation of a circle with center (h, k) and radius of length r units is given by

(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

For the given circle, we have

center, (h, k) = (-2, -5)   and  radius, r = 1 units.

Therefore, from equation (i), we get

(x-(-2))^2+(y-(-5))^2=1^2\\\\\Rightarrow (x+2)^2+(y+5)^2=1\\\\\Rightarrow x^2+4x+4+y^2+10x+25=1\\\\\Rightarrow x^2+y^2+4x+10y+29-1=0\\\\\Rightarrow x^2+y^2+4x+10y+28=0.

Thus, the required equation of the circle is x^2+y^2+4x+10y+28=0.

ANSWERED AT 18/01/2020 - 07:04 AM


QUESTION POSTED AT 18/01/2020 - 07:04 AM

Combine like terms. 7k – 13k A. –6 B. –6k C. –20 D. –20k

Answer is B. 7k-13k=-6k Which is B. So answer is -6k

ANSWERED AT 18/01/2020 - 07:03 AM


QUESTION POSTED AT 18/01/2020 - 07:03 AM

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below: f(x) = 4x − 4 g(x) = x − 1 a)−20 b) −4 c) 4 d) 1/4

Translating the given to mathematical form:

Given: f(x) = 4x - 4
g(x) = x-1

Find f(-4) / g(-4)

f(-4) = 4(-4) -4 = -20
g(-4) = -5

f(-4) / g(-4) = -20 / -5 = 4

Therefore, the correct answer is C.

ANSWERED AT 18/01/2020 - 07:02 AM


QUESTION POSTED AT 18/01/2020 - 07:02 AM

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

In equation, let x be the number of male students
a be the number of adults
y be the number of female students.
x= 7a+1
a= x/7 -1
y= x/2 or (7a + 1)/ 2

a + b = 82, let b be the number of students.
a + (x + y) = 82
a + [7a+1 + (7a+1)/2] = 82
a + [{2(7a+1) + 7a+1} / 2] = 82
a + [(14a +2 + 7a +1) / 2] = 82
a + [(21a + 3) / 2] = 82
(2a+ 21a + 3) / 2 = 82
(23a + 3) / 2 = 82
23a + 3 = 164
23a = 164 -3 
23a = 161
a = 7

x = 7(7) +1, 49+1 = 50 male students
y=x/2, 50/2, 25 female students

50(male students) + 25(female students)  + 7 (adults) = 82





ANSWERED AT 18/01/2020 - 07:02 AM


QUESTION POSTED AT 18/01/2020 - 07:02 AM

Find the length of the radius for this circle. (x - 3)² + (y - 5)² = 8 8 4 2√2

Answer: 2\sqrt{2}

Step-by-step explanation:

The general form of equation of a circle is given by :-

(x-a)^2+(y-b)^2=r^2 , where r is radius and (a,b) is the center of the circle.

The given equation of circle: (x - 3)^2 + (y - 5)^2 = 8

\Rightarrow\ r^2=8

Taking square root on both sides, we get

\Rightarrow\ r=\sqrt{8}=2\sqrt{2}

Hence, the length of the radius for this circle= 2\sqrt{2}

ANSWERED AT 18/01/2020 - 07:01 AM


QUESTION POSTED AT 18/01/2020 - 07:01 AM