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sveticcg [70]
3 years ago
8

A patio deck in the shape of a parallelogram has three square cutouts for trees to grown through. Each square has a side length

of 4 1/2 feet. What area of wood boards is needed to cover the deck while leaving room for the square cutouts?

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

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mansi shines a beam of light on a mirror. The angle between the beam and the mirror is 25°. The beam reflects off the mirror at
givi [52]

Answer:

130°

Step-by-step explanation:

The diagram for the question is redrawn on the attached image. It was obtained online.

Basically, what the question is asking is for the angle between the new path of the beam and the old path if the beam continued without being reflected by the mirror.

The line of the old path of the beam of light is a straight line. And the sum of angles on straight line = 180°

25° + 25° + y° = 180°

y = 180° - 50° = 130°

4 0
4 years ago
Solve the equation<br> 36^(1/2−4x)=√6
UkoKoshka [18]

Answer:

x=1/16

Step-by-step explanation:

6 0
2 years ago
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
tankabanditka [31]

The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)

Therefore, the coordinates of point B' are (-3, 6).

To know more about Transformation click the link given below.

brainly.com/question/26297555

6 0
3 years ago
If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?
Georgia [21]

Answer:

  • k = -2

Step-by-step explanation:

<u>Factor x³ + 2x:</u>

  • x³ + 2x = x(x² + 2)

1. <u>The common factor is x, then</u>:

  • 2 + k = 0 ⇒ k = -2 (all the rest are divisible by x)

2. Factor x² + 2 is not linear therefore we discard it.

8 0
3 years ago
5+b=25<br> b=20<br> 5+20=25<br> =?
Arisa [49]
The numbers are equal. 25=25
4 0
4 years ago
Read 2 more answers
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