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Mekhanik [1.2K]
2 years ago
9

The perimeter of a television screen is 94 inches it is 17 inches tall how wide is it

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0
<h3>Answer:  30 inches</h3>

==========================================================

Explanation:

x = unknown width

For this rectangle, there are 2 sides of length x, and 2 sides of length 17.

The perimeter is P = 2x+2*17 = 2x+34

Set this equal to the given perimeter (94) and solve for x.

2x+34 = 94

2x = 94-34

2x = 60

x = 60/2

x = 30

The TV is 30 inches wide

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They are the same because 14 is 2*7 and 21 is 3*7.
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Help help help math math math math
Natasha_Volkova [10]

Answer:

x = 15

Explanation:

First, add both equations on one side, and set it equal to 180° because it's supplementary:

2x + 8 + 8x + 22 = 180

combine like terms:

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subtract 30 on both sides of the equation and you end up with:

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divide both sides by 10 and you get:

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2 years ago
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In triangle PQR, PR = 23mm, QR = 39mm, and m&lt;R = 163 degrees. Find the area of the triangle to the nearest tenth.
Schach [20]

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

A=\frac{1}{2} \times s_1\times s_2\times sin \theta

Where s_1 and s_2 are adjacent sides and \theta is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

s_1 = PR= 23\text{ mm}, s_2=QR=39\text{ mm} and \theta = 163^{\circ},

Thus, the area of the triangle PQR,

A=\frac{1}{2} \times 23\times 39\times sin163^{\circ}

A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}

5 0
3 years ago
The scale of a map is 1 in. : 500 miles. City a is 650 miles from city c how far is it’s dist on the map
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Median is 10.5

Mode is 2

Range is 37

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<u>Mean is the average:  2 + 2 + 6 + 15 + 38 + 39 = 102 / 6 = 17 MEAN</u>

<u />

<u>Median is the middle:  2, 2, 6, 15, 38, 39</u>

Between 6 and 15 -> 15 - 6 = 9 / 2 = 4.5

6 + 4.5 = 10.5

Median is 10.5

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<u />

Mode is 2

<u>Range is the difference between the highest and the lowest number:  39 - 2</u>

37

Range is 37

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