# 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

QUESTION POSTED 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 =

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

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

**Answer:**

Omar should factor out a negative from one of the groups so the binomials will be the same.

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

The period of this function ( cos (bx) ):

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)**f(t)= 4 cos (π/6 t) +5**

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

Its actually** C. 372. **I just took the test

ANSWERED AT 18/01/2020 - 07:39 AM

QUESTION POSTED AT 18/01/2020 - 07:39 AM

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

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

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

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

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.

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

Answer :

Given expression is

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

Square of is =

So the expression becomes that gives perfect square trinomial

Hence , the value of 'c' is

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

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

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

**Answer:**

The total number of solutions is one

**Step-by-step explanation:**

we have

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

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

It would b 2/3 and the other one 2/4

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

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

22 - (7 + 9) = 6 feet

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

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

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

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

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

The answer is d 40

by applying the cross product

by applying the cross product

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

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

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

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

The answer is -4 hope this helps

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

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

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.

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

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

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

**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

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

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

(x-7)^2 = (x-7)(x-7) = x^2 -7x -7x +49 = x^2-14x+49

answer is '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

Let

x------> the first number

y-----> the second number

Assume

we know that

----> equation A

Multiply by both sides

-----> equation B

Adds equation A and equation B

Find the value of y

therefore

the answer is the option

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

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

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

**Answer: The required equation of the circle is **

**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**

**For the given circle, we have**

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

**Therefore, from equation (i), we get**

**Thus, the required equation of the circle is **

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

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

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

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.

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

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

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

**Answer: **

**Step-by-step explanation:**

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

** , where r is radius and (a,b) is the center of the circle.**

**The given equation of circle:**

Taking square root on both sides, we get

**Hence, the length of the radius for this circle= **

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

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