Find the value of L. Perimeter = 22. Width is 3. So what is L? On a rectangular

QUESTION POSTED AT 05/12/2019 - 05:53 PM

Answered by admin AT 05/12/2019 - 05:53 PM

Perimeter of rectangle =2 X( L + w)
width=3
perimeter=22
length =?

2(L+3) =22
=>2L+6 =22
=>2L = 22-6
=>2L =16
=>L = 16/2
=>L=8 ..

Hope it helps !!!
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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

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

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

-22 over 22 in simplest form

-1 over 1 when you divide by 22

ANSWERED AT 18/01/2020 - 07:12 AM


QUESTION POSTED AT 18/01/2020 - 07:12 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

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

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

The radius of circle L is 22 cm. What is the length of its diameter? A. 88 cm B. 44 cm C. 22 cm D. 11 cm

2R = 1D
d=44

Answer is B.

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


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

The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range? A.) The range is decreased by 4. B.) The range is decreased by 16. C.) The range is decreased by 22. D.) The range is decreased by 33.

An outlier of a set of data is a data value that is too small or too large compared to other values in the set of data. Range of a set of data is the difference between the largest data value and the smallest data valu in the set of data. Range of 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 is 78 - 23 = 55 When the outlier 78 is removed, the range of the data set 23, 23, 25, 27, 34, 34, 35, 41, 45, 45 is 45 - 23 = 22 Thus, when the outlier 78 is removed, the range of the data set decreases by 55 - 22 = 33. Therefore, the correct answer to the question "The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?" is "The range is decreased by 33." (option D).

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


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

Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of x, the greater integer? A. x2 + 5 = 176 B. x(x + 5) = 176 C. x(x – 5) = 176 D. x2 – 5 = 176

The answer to the problem above is the letter C. x(x-5)=176.
In this equation x represents the greater number. (x-5) represents the smaller number stating that 5 less than the greater number is the smaller number. x(x-5)= 176 represents multiplying x and x-5 is 176.

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


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

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4? –6.72 –0.58 0.58 6.72

The data in the table is not shown here but here is the formula for the residual
residual = observed value - predicted value

To get the predicted value, you simply use the best fit equation:
y = 2.78x - 4.4

Substituting 4:
y = 2.78(4) - 4.4
y = 6.72

This value is subtracted from the observed value to get the residual.

ANSWERED AT 18/01/2020 - 06:59 AM


QUESTION POSTED AT 18/01/2020 - 06:59 AM

Find the equation of the circle whose center and radius are given. center ( 5, 6), radius = 3

Answer:

(x-5)^2+(y-6)^2 =9

Step-by-step explanation:

The  equation of circle is given by:

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

where,

(h, k) is the center

r is the radius of the circle.

As per the statement:

Given: center ( 5, 6), radius = 3 units

⇒(h, k) = (5, 6) and r = 3 units

Substitute these in [1] we have;

(x-5)^2+(y-6)^2 = 3^2

(x-5)^2+(y-6)^2 =9

Therefore, the equation of the circle is, (x-5)^2+(y-6)^2 =9

ANSWERED AT 18/01/2020 - 06:57 AM


QUESTION POSTED AT 18/01/2020 - 06:57 AM

Find the sum: (3x2 + 5x − 8) + (5x2 − 13x − 5)

I showed my work too. hopefully this helps

ANSWERED AT 18/01/2020 - 06:50 AM


QUESTION POSTED AT 18/01/2020 - 06:50 AM

In the graph above, the cordinates of the vertices of quadrilateral QPRS are Q(2,4), P(2,4), R(3,1), and S(1,1). If quadrilateral QPRS is reflected across the x-axis to create quadrilateral GHIJ l, find tge coordinates of point j

Answer:

As, when Graph is reflected across the X axis

1. The two, Image which is Quadrilateral G H I J and Pre image which is Quadrilateral QPRS will be congruent.

2. Distance from X axis to each of the vertices of  Quadrilateral QPRS will be same as distance from each of the vertices of Quadrilateral G H I J from X axis.

As, Quadrilateral QPRS lies in first Quadrant, so when it is reflected across X axis, it moves in Second Quadrant which is Quadrilateral  GHIJ.

Q→→G, P→→H, R→→I, S→→J.

Coordinates of S=(1,1)

Coordinates of J=(-1,1)

ANSWERED AT 18/01/2020 - 06:50 AM


QUESTION POSTED AT 18/01/2020 - 06:50 AM

Find the sum. Do not round. 39.882 + 11.03 =

The answer not rounded is 50.91200

ANSWERED AT 18/01/2020 - 06:46 AM


QUESTION POSTED AT 18/01/2020 - 06:46 AM