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irina1246 [14]
3 years ago
9

The scale from a playground to a scale drawing of the playground is 4 meters per centimeter.The length of the drawing of the pla

yground is 5.3 cm and the width is 3.8 cm. What is the area of the actual playground?
Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

322.24 meters

Step-by-step explanation:

The scale is 4 meter per centimeter. Multiply 5.3 by 4 to get 21.2 meters. Multiply 5.3 by 4 to get 15.2 meters. Multiply 21.2 by 15.2 to get 322.24

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Given the sum s20= 910 of an arithmetic sequence and A20 = 95, Find A1​
Inessa05 [86]

Step-by-step explanation:

Sn=n/2(2a+(n-1)d)

910=n/2{2a+(n-1)d}

1820=n{2a+(n-1)d}

1820=20{2a+(20-1)d}

1820=20{2a+19d}

91=2a+19d

An=a+(n-1)d

95=a+(20-1)d

95=a+19d

91=2a+19d

---------------

4=-a

a=-4

91=2a+19d

91=2(-4)+19d

91=-8+19d

91+8=19d

99=19d

d=99/19

A=-4

5 0
2 years ago
What is the solution of the equation 3/4x +5 = -9?<br> 16<br> 3<br> Done
Licemer1 [7]
X=-56/3

multiply everything by 4 to cancel the fraction which will give you
3x+20=-36

then combine like terms to get
3x=-56

then divide to get x by itself to get

x=-56/3

since this is a weird decimal, leave it as an improper fraction
5 0
3 years ago
The drawing shows a concrete walkway around a pool. what is the total area of the concrete?
Verizon [17]

25 x 13 = 325

20x 8 = 160

325-160 = 165 square feet

 answer is A

3 0
3 years ago
Read 2 more answers
Please help :((((((
Alik [6]

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem a^{2} +b^{2} =c^{2} and if the left side of the equation is equal to the right, that is the answer.

(Do take note that c is the longest side.)

a)

0.07^{2} +2.4^{2} =5.7649

2.5^{2}=6.25

Since 2.5^{2} \neq 5.7649, a) is wrong.

b)

17^{2} +30^{2} =1189\\&#10;34^{2} =1156

Since 34^{2}\neq1189, b) is wrong.

c) (answer)

5^{2} +12^{2} =169\\13^{2} =169

Since 13^{2} =169, c) is correct.

d)

(7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}

Since (13x)^{2} \neq193x^{2}, d) is wrong.

5 0
2 years ago
A study indicates that 37% of students have laptops. You randomly sample 30 students. Find the mean and the standard deviation o
Brilliant_brown [7]

Answer:

The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.

Step-by-step explanation:

Let <em>X</em> = number of students who have laptops.

The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.

A random sample of <em>n</em> = 30 students is selected.

The event of a student having a laptop is independent of the other students.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The mean and standard deviation of a binomial random variable <em>X</em> are:

\mu=np\\\sigma=\sqrt{np(1-p)}

Compute the mean of the random variable <em>X</em> as follows:

\mu=np=30\times0.37=1.11

The mean of the random variable <em>X</em> is 1.11.

Compute the standard deviation of the random variable <em>X</em> as follows:

\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836

The standard deviation of the random variable <em>X</em> is 0.836.

5 0
3 years ago
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