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kupik [55]
1 year ago
14

If SLDG is an isosceles trapezoid, what is the value of x?

Mathematics
1 answer:
MaRussiya [10]1 year ago
8 0

Answer:

13

Step-by-step explanation:

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a rectangle rug has a perimeter of 146 ft the width of the rug is 5 feet more than three times the length find the length and th
dem82 [27]

Answer:

The length = 56 feet and the width = 17 feet.

Step-by-step explanation:

We can set up 2 equations to solve this. Let the length of the rug be x, then

x = 3w + 5    where w = the width.   ( looks like you got the width and the length mixed up. The length is the longest side)

The perimeter = 2x + 2w = 146 so we have the 2 equations:

x = 3w + 5

2x + 2w = 146

Now we substitute for x in the second equation:

2(3w + 5) + 2w = 146

6w + 10 + 2w = 146

8w = 136

w = 17 feet,

and x = 3(17) + 5 =  56 feet.

7 0
1 year ago
Read 2 more answers
Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?
elena-14-01-66 [18.8K]

Answer:

Volume of the cube: 8n^{18}

Step-by-step explanation:

A cube is a solid figure consisting of 6 squared faces arranged in a structure at right angle with each other.

The volume of a cube is given by:

V=L^3

where

V is the volume

L is the length of one side of the cube

In this problem, the length of the side of the cube is

L=2n^6

Therefore, the volume of the cube is

V=(2n^6)^3 = 2^3 (n^6)^3 = 8n^{18}

7 0
1 year ago
Read 2 more answers
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that
Vadim26 [7]
So... if you notice the picture below

each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle

now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so    \bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad r=radius\\\\
\textit{area of half a circle}\\\\
A=\cfrac{\pi r^2}{2}\\\\
-----------------------------\\\\

\bf \textit{now, let us use the side of 6, and radius of 3}
\\\\\\

\begin{array}{clclll}
\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\
\uparrow &&\uparrow \\
triangle's&&semi-circle's
\end{array}\impliedby \textit{area of shaded area}\\\\
-----------------------------\\\\
\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format

8 0
2 years ago
Read 2 more answers
In which quadrants is the ordinate positive?
Anni [7]

Answer:

I and II

Step-by-step explanation:

The ordinate is the y element in an ordered pair in a Cartesian coordinate system. The quadrants in which the ordinates are positive should be at quadrants I and II.

7 0
1 year ago
Read 2 more answers
Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per h
chubhunter [2.5K]
Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.

Line workers: h = hours per week ; d = dollars per hour.

Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)

Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d    hourly rate of line worker.

Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.

Weekly pay of Joanna: $22.50 * 50 = $1,125
5 0
1 year ago
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