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umka2103 [35]
3 years ago
10

In a square, the sum of the lengths of three sides is 45 and in a rectangle the difference between a length and a width is 5 in.

if a width of the rectangle is the same as a side of the square, how long is a length of the rectangle?
Mathematics
1 answer:
stira [4]3 years ago
5 0
Square:
We know all sides of a squares are equal in length.
s= the length of one side of the square.
45= s+s+s
45= 3s
s=15 inches
Each side of the square is 15 inches.

Rectangle:
length(l)= ????
Width(w)= s = 15 inches

l -w= 5inches
l- (15 inches)= 5 inches
l = 20 inches


Answer:
A length of the rectangle is 20 inches long.
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A lake has a small patch of lily pads and every day the patch grows to double its size. It takes 32 days for the patch to cover
S_A_V [24]

Answer:

<em>It took 31 days for the patch to cover half the lake</em>

<em></em>

Step-by-step explanation:

The patch grows to double its size everyday

the patch completely covers the lake in 32 days

Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.

Therefore, the the patch covered half the lake on the 31st day, i.e <em>it took 31 days for the patch to cover half the lake</em>

<em></em>

6 0
3 years ago
In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.<br> Find the area of triangle ABC.
max2010maxim [7]

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where  \ s \ =\ \frac{a+ b+ c}{2}

<em><u>Find Area :</u></em>

<em><u></u></em>

s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15

Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\

      = \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}

      = 42 . 43 \ cm^2

7 0
3 years ago
PLEASE HELP ASAP!! an onion soup recipe calls for 3 2/3 cups of chopped onions. katrina has already chopped 1 1/3 cups of onions
ivanzaharov [21]

Answer:

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

Step-by-step explanation:

Let the number of cups of onions Katrina still needs to chop = x

She has already chopped the onions = 1\frac{1}{3} cups ≈ \frac{4}{3} cups

So total amount of chopped onions = (x+\frac{4}{3}) cups

Since, onion soup recipe calls for the chopped onions = 3\frac{2}{3} cups ≈ \frac{11}{3} cups

Therefore, equation which shows the number of cups of onions to be chopped more will be,

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

We further solve this equation for the value of x,

x = \frac{11}{3}-\frac{4}{3}

x = \frac{(11-4)}{3}

  = \frac{7}{3} cups

  ≈ 2\frac{1}{3} cups

5 0
3 years ago
6
8090 [49]

Answer:

James bought 11 good tickets and 5 bad tickets.

Step-by-step explanation:

Given that:

Cost of each good ticket = $8

Cost of each bad ticket = $5

Total amount spent = $113

Total tickets bought = 16

Let,

x be the number of good tickets bought

y be the number of bad tickets bought

x+y=16     Eqn 1

8x+5y=113    Eqn 2

Multiplying Eqn 1 by 5

5(x+y=16)

5x+5y=80    Eqn 3

Subtracting Eqn 3 from Eqn 2

(8x+5y)-(5x+5y)=113-80

8x+5y-5x-5y=33

3x=33

Dividing both sides by 3

\frac{3x}{3}=\frac{33}{3}\\x=11

Putting x=11 in Eqn 1

11+y=16

y=16-11

y=5

Hence,

James bought 11 good tickets and 5 bad tickets.

3 0
3 years ago
Which value of v is a solution to this equation? 3v=24
zhannawk [14.2K]
V = 24/3 = 8
So v = 8
Hope this helps, if it is , pls brainliest !!
6 0
3 years ago
Read 2 more answers
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