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Gennadij [26K]
8 months ago
12

The measure of one side of a square is (8 + 3) inches long. Which pair of expressions both represent the perimeter this square?

2s + 3 A) and (st 3) (8+3) 2 (5 + 3) B) and (+3)(8 + 3) 48 + 3 and (s + 3) + (8 + 3) + (8 + 3) + (8 +3) 4 (+3) D and (6 + 3) + (6 +3+ (6 +3+ (6 + 3) DELL
Mathematics
1 answer:
tensa zangetsu [6.8K]8 months ago
5 0

Given:

The side of a square a, s+3.

The perimeter of a square is the sum of the four sides of the square. Hence,

\begin{gathered} P=s+3+s+3+s+3+s+3 \\ =4(s+3) \end{gathered}

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Solve the equation <br>8(4- x) = 7x + 2<br>x=​
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Answer: x=2

Step-by-step explanation:

Expand.

32−8x=7x+2

Add 8x to both sides.

32=7x+2+8x

Simplify  7x+2+8x7x+2+8x  to  15x+215x+2.

32=15x+2

Subtract 22 from both sides.

32−2=15x

Simplify  32−2  to  30.

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Divide both sides by 15.

30/15=x

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7 0
3 years ago
Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side
tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

8 0
3 years ago
A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
2 years ago
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