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Nutka1998 [239]
3 years ago
5

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

ength of the rectangle
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

then,  

24 = 2 (x+3+\frac{1}{2} x)

Divide by 2 both sides of an equation;

12 = x+3+\frac{1}{2}x

Combine like terms;

12 =\frac{3x}{2} +3

Subtract 3 from both the sides we get;

12-3 = \frac{3x}{2} +3-3

Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

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Step-by-step explanation:

1. 148/264 = .560

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Answer: There are 18 elements in the sample space for this experiment

Step-by-step explanation:

Total cards = 52

Total outcomes on tossing a coin = 2   [1 head , 1 tail]

If the card is a club, a fair coin is flipped 9 times and the number of heads flipped is noted (but card drawn is not noted)).

Possible outcomes for heads = 0,1,2,...,9

So sample space for this event = {0,1,2,3,4,5,6,7,8,9} <em> </em><em> (Total </em><em>10 elements</em><em> ) </em><em> (i)</em>

If it is not a club, the coin is only flipped 3 times, but this time the result of each flip is noted(but card drawn is not noted).

Sample space with all possible outcomes ={TTT,TTH, THT, HTT, HTH,HHT,THH,HHH}   <em> (Total </em><em>18 elements</em><em> )  </em><em>(ii)</em>

<em />

From (i) and (ii), Total elements in the sample space for this experiment = 10+8 = 18

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4 0
3 years ago
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Answer:

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8 0
3 years ago
At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 1
chubhunter [2.5K]

So let's see here...


6:00 A.M. temperature is 33°F.

12:00 P.M temperature increased by 10°F making it 43°F.

3:00 P.M. temperature increased by another 12°F making it 55°F.

At 10:00 P.M it would decrease by 15°F making it 40°F.

The temperature would need to fall (or decrease) by 7°F to reach the original temperature of 33°F

Hope this helped!


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A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the t
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Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

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I hope this helps you!

5 0
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