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klasskru [66]
3 years ago
6

A rectangular room is 15 meters longer than it is wide, and it’s perimeter is 26 meters. Find the dimensions of the room

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

the room is -1m by 14m

Step-by-step explanation:

what you do to find it is first find x.

the perimeter is 26, and one side is 15 meters longer than the other(twice).

So the equation is:

x + (x + 15) + x + (x + 15) = 26

2x + 2(x + 15) = 26

2x + 2x + 30 = 26

4x + 30 = 26

26 - 4x = 30

26 - 26 - 4x = 30 - 26

-4x = 4

-4x/-4 = 4/-4

x = -1

Now we have two sides of the room. Now we want the 15m longer ones...

-1 + 15 = 14

so the dimensions are -1 by 14, or -1x14

Hope this helps. if this is the best answer, mark Brainliest.

If not, hope it helps anyway.

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Answer:

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Step-by-step explanation:

hope this helps u have a nice day :)

4 0
3 years ago
Sin 1 + sin 2 + sin3 .................+ sin 360 = ?
lesya [120]

Assuming that arcs are given in degrees, call S the following sum:

S = sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360°


Rearranging the terms, you can rewrite S as

S = [sin 1° + sin 359°] + [sin 2° + sin 358°] + ... + [sin 179° + sin 181°] + sin 180° +
   + sin 360°

S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] + ...+ [sin 179° + sin(360° – 179)°]
   + sin 180° + sin 360°          (i)


But for any real k,

sin(360° – k) = – sin k


then,

S = [sin 1° – sin 1°] + [sin 2° – sin 2°] + ... + [sin 179° – sin 179°] + sin 180° + sin 360°

S = 0 + 0 + ... + 0 + 0 + 0        (... as sin 180° = sin 360° = 0)

S = 0


Each pair of terms in brackets cancel out themselves, so the sum equals zero.

∴   sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360° = 0          ✔


I hope this helps. =)


Tags:  <em>sum summatory trigonometric trig function sine sin trigonometry</em>

4 0
3 years ago
3y+10x-54=0 5y-2x-34=0<br><br> x=<br><br> y=
Blababa [14]
<h3>Answer:</h3><h2>x = 3 and y = 8 → (3, 8)</h2><h3>Step-by-step explanation:</h3>

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\text{put the value of y to the first equation}\\\\3(8)+10x=54\\24+10x=54\qquad\text{subtract 24 from both sides}\\24-24+10x=54-24\\10x=30\qquad\text{divide both sides by 10}\\\dfrac{10x}{10}=\dfrac{30}{10}\\\boxed{x=3}

8 0
3 years ago
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

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Step-by-step explanation:

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Which expression finds the change in temperature per hour.

From the above given information;

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The change in temperature is \Delta T = T_2  -  T_1

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The expression used to find the change in temperature per hour is Algebraic expression

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x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

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6 0
3 years ago
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