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ExtremeBDS [4]
3 years ago
13

Help pls!! ....................................................

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

(a) The width is 40 inches

(b) It will not

Step-by-step explanation:

Given

D = 50 -- Diagonal

Solving (a): H = 30 --- (height).

Find the width (W)

To do this, we make use of Pythagoras theorem

D^2 = H^2 + W^2

This gives:

50^2 = 30^2 + W^2

2500 = 900 + W^2

Collect Like Terms

W^2 = 2500 - 900

W^2 = 1600

Take square roots

W = 40

Solving (b): Will it fit into a 30 in wide cabinet?

In (a) above, we calculated the width of the TV to be 40 inches

This implies that, the width is greater than the width of the cabinet.

<em>So, it will not fit in</em>

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Answer:

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Step-by-step explanation:

We solve the above question using the formula

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When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

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Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

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= √36

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Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

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= √25

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Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

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= √0 + 36

= √36

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From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

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= 5 units × 6 units

= 30 square units

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