The length of a rectangle is 11 ft longer than twice the width. If the perimter is 106 ft, find the length and width of the rectangle

QUESTION POSTED AT 10/10/2019 - 07:35 PM

Related questions

Find the distance between these points.W(-6, -8), X(6, 8) 20 10 √8

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
W&({{ -6}}\quad ,&{{ -8}})\quad 
%  (c,d)
X&({{ 6}}\quad ,&{{ 8}})
\end{array}\quad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[6-(-6)]^2+[8-(-8)]^2}\implies d=\sqrt{(6+6)^2+(8+8)^2}

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

Draw a quadrilateral that belong to any of these groups parrallelogram rectangle, square. explain why your shape does not belong to any of these groups

A trapezoid. It only has one pair of parallel sides, doesn't have four right angles and all sides are not the same length.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Find the lowest common denominator of 3/x^3y and 7/xy^4 A. x^3y^4 B. x^4y^5 C. y^4 D. x^2y^3

The answer I came up with is A)

ANSWERED AT 17/10/2019 - 09:11 AM


QUESTION POSTED AT 17/10/2019 - 09:11 AM

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some . 40) A 5m×3m×4m rectangular prism 41) A cube with edge of 6 ft 42) A cylinder with a height of 14 cm and base Diameter of 10 cm 43) A triangular prism with a base area of 15 square inches and height of 12 inches . 44) A cylinder with a base circumference of 8pi and height 7 45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Part1

there are 360° in a circle (clock), and thus if we check how many degrees in a clock with 60minutes, then it'd be 360/60, or 6° per minute

now, the clock went from 3:35 to 3:55, 20 minutes, how many degree is that? 6*20

part2

\bf \textit{length of an arc}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=4\\
\theta=6\cdot 20
\end{cases}\implies s=\cfrac{4\cdot 6\cdot 20\cdot \pi }{180}

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

A 12 ​-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. If the shorter piece is x feet​ long, find the lengths of both pieces.

The shorter piece would be 3 feet long and the longer piece would be 9 feet long.

ANSWERED AT 17/10/2019 - 09:04 AM


QUESTION POSTED AT 17/10/2019 - 09:04 AM

Can someone help me find the area of the shaded region? is it just the area of the circle?

The shaded region is the area of the circle minus the area
of the pentagon.
A circle = pi * r^2
A circle = pi * 15^2
A circle = 706.5 cm^2

A regular pentagon = (a * p)/2 where a is the apothem, p is the perimeter.
The apothem id the perpendicular height from the midpoint of a side to the center of the pentagon.
To find the apothem you have to use a trig ratio.
A pent = (8.3 * 12*5)/2
A pent = 249 cm^2

Shaded region: circle - pentagon 706.5 - 249 = 457.5

ANSWERED AT 17/10/2019 - 09:04 AM


QUESTION POSTED AT 17/10/2019 - 09:04 AM

A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

Answer:

45

Step-by-step explanation:


ANSWERED AT 17/10/2019 - 09:02 AM


QUESTION POSTED AT 17/10/2019 - 09:02 AM

A triangle has two sides of lengths 5 and 12 what value could the length of the third party be check all apply 19 17 11 9 7 5

Answer: 11 and 9

Step-by-step explanation:

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

. Find the volume of the composite space figure to the nearest whole number. 210cm^3 180cm^3 120cm^3 60cm^3

 n           i              g             g                   a   :)

Hope this helps you

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

Quadrilateral EFGH has coordinates E(a, a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of EF? Please show how the problem is done.

Answer:

The midpoints of the EF is (2a,a) .

Step-by-step explanation:

Definition of midpoints.

The midpoint is the point lie in middle of a line segment. It is equidistant from both endpoints .

Formula

Midpoints = (\frac{x_{2}+x_{1})}{2} ,\frac{(y_{2}+y_{1}}{2})

Quadrilateral EFGH has coordinates E(a, a), F(3a, a), G(2a, 0), and H(0, 0).

Now find out the midpoints of the  E(a, a) and F(3a, a) .

Midpoints\ of\ EF = (\frac{(3a+a)}{2} ,\frac{(a+a)}{2})

Midpoints\ of\ EF = (\frac{4a}{2} ,\frac{2a}{2})

Midpoints of EF = (2a,a)

Therefore the midpoints of the EF is (2a,a) .



ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

A bowl contains 3 red, 8 blue, and 7 black beads. Margaret randomly selects 3 beads one after the other without replacement. Find the probability of getting a red, blue, and black bead, in that order. a. dependent; 204/7 b. independent; 7/243 c. independent; 1/68 d. dependent; 7/204

This is the concept of probability and statistics, we are required to calculate the probability of getting a red, blue and black respectively, given that there are 3 red, 8 blue and 7 black beads;
Probability of an event occurring=(Number of ways it can occur)/(Total number of outcomes )
The total number of outcome in our situation is:
3+8+7=18
P(Red)=3/18=1/6
P(Blue)=8/17
P(Black)=7/16
since these occurrence are such that the selection is without replacement, that means they are dependent. The probability of them occurring in that order will be:
P(x)=1/6*8/17*7/16=7/204
The answer is d. dependent; 7/204 

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

The graph of the function B is shown below. Find B(1)

Can you take a picture of the graph to answer your question

ANSWERED AT 17/10/2019 - 09:00 AM


QUESTION POSTED AT 17/10/2019 - 09:00 AM

Find the distance between the points. (2, 3) and (-3, -6) ?

The distance between the points (2,3) and (-3,-6) is the square root of 106. Hope this helps! :)

ANSWERED AT 17/10/2019 - 08:56 AM


QUESTION POSTED AT 17/10/2019 - 08:56 AM

The formula to find the sum of the angle measures in a polygon is (2-n)180. True False

That formula is true

ANSWERED AT 17/10/2019 - 08:56 AM


QUESTION POSTED AT 17/10/2019 - 08:56 AM

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.If x represents Sarah's age now, which of the following expressions represents Ralph's age in six years?

X years  -  Sara (now)
3x years  -  Ralph (now) 

(x + 6)  -  Sara (in 6 years)
(3x + 6)  -  Ralph (in 6 years)

1) 3x + 6 = (x + 6) * 2
    3x + 6 = 2x + 12
    3x - 2x = 12 - 6
    x = 6 years - Sara (now)
2) 6 * 3 = 18 years - Ralph (now)

In 6 years :
6 + 6 = 12 - Sara
18 + 6 = 24 - Ralph
24 : 12 = 2 - twice as old as Sara/

ANSWERED AT 17/10/2019 - 08:51 AM


QUESTION POSTED AT 17/10/2019 - 08:51 AM

The variables x and y vary directly. Given the model y = -2x , find the value of x when y = -16.

I think -8

-2 x -8 = -16

ANSWERED AT 17/10/2019 - 08:51 AM


QUESTION POSTED AT 17/10/2019 - 08:51 AM

Given: BOAT is an isosceles trapezoid. If T = 130°, find O.

Answer;

O = 50°

Explanation and solution;

  • An isosceles trapezoid is a quadrilateral that has a pair of sides that opposite and are parallel and another pair of sides that are opposite and are congruent.
  • Both pairs of opposite angles in an isosceles trapezoid are supplementary which means their sum add up to 180°.

Therefore;

∠ B  + ∠ A = 180° and ∠T + ∠O = 180°

Hence; ∠O = 180 -∠T

                   = 180 - 130°

                    = 50 °

ANSWERED AT 17/10/2019 - 08:51 AM


QUESTION POSTED AT 17/10/2019 - 08:51 AM

Find the solution of y =6x+1 for x =5

Y=6x+1
y=6(5)+1
y=30+1
y=31

ANSWERED AT 17/10/2019 - 08:51 AM


QUESTION POSTED AT 17/10/2019 - 08:51 AM

Point G lies between points F and H on . If the length of FH is 18 units, what is the value of x? 3 4 5 6

see the attached figure to better understand the problem

we know that

FH=FG+GH

FH=18 -------> equation 1

FH=4x+2x

FH=6x -------> equation 2

equate equation 1 and equation 2

18=6x

x=3

therefore

the answer is

x=3

ANSWERED AT 17/10/2019 - 08:49 AM


QUESTION POSTED AT 17/10/2019 - 08:49 AM

What is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)? 1 3 5 11

Y=mx+b
y=1/4x+b
3=(1/4)(8)+b
3=2+b
b=1

ANSWERED AT 17/10/2019 - 08:43 AM


QUESTION POSTED AT 17/10/2019 - 08:43 AM

PLEAZZZZZZEE SOLVE FOR ME find the holes of x^2 +x-12 /x^2-4 thank you so much

Factoring the  top and bottom of the fraction we get

(x + 4)(x - 3
---------------
 (x + 4) (x - 4)

ANSWERED AT 17/10/2019 - 08:38 AM


QUESTION POSTED AT 17/10/2019 - 08:38 AM

The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map?

Answer:

The proportion that can be used is \frac{2}{15}\frac{inches}{miles}=\frac{30}{x}\frac{inches}{miles}

The actual distance is 225\ miles

Step-by-step explanation:

we know that

The scale on a map is equal to

\frac{2}{15}\frac{inches}{miles}

so

by proportion

Find how many miles are 30 inches on the map

\frac{2}{15}\frac{inches}{miles}=\frac{30}{x}\frac{inches}{miles}\\ \\x=15*30/2\\ \\x=225\ miles

ANSWERED AT 17/10/2019 - 08:34 AM


QUESTION POSTED AT 17/10/2019 - 08:34 AM

On a blueprint, the scale indicates that 6 cm represent 15 feet. What is the length of a room that is 9 cm long and 4 cm wide on the blueprint?

The scale length is 9cm and the scale is 6cm/15ft which is 3cm/5ft, so we can say:

9cm(5ft/3cm)=15ft for the length

If you wanted the width too...

4cm(5ft/3cm)=20ft/3  (6'8", 6ft 8in)

ANSWERED AT 17/10/2019 - 08:34 AM


QUESTION POSTED AT 17/10/2019 - 08:34 AM