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3 years ago

The scale drawing of a playground is 4 cm wide and 6 cm long. The playground is 14 m wide. How long is it?

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer: 21m

Step-by-step explanation:

From the question, we are informed that the scale drawing of a playground is 4 cm wide and 6 cm long and that the playground is 14 m wide.

Let the length of the playground be represented by x. Therefore,

4/6 = 14/x

4 × x = 14 × 6

4x = 84

x = 84/4

x = 21

Therefore, the length is 21m

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A circle has a sector with area 24/5pi and central angle of 48°. What is the area of the circle? Either enter an exact answer in

ra1l [238]

Answer:

Area_circle = pi*(24/5)*(360/48)=36pi = 113.097

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3 years ago

77+ 2(3x – 5) = 8 – 3(2x + 1)<br> 78 2 + 3(2 -7) – 0 - 13 I 1).

nika2105 [10]

Answer:

-31/6

Step-by-step explanation:

77+2(3x-5)=8-3(2x+1)

77+6x-10=8-6x-3

77-10+6x=8-3-6x

67+6x=5-6x

67+6x-(-6x)=5

67+6x+6x=5

67+12x=5

12x=5-67

12x=-62

x=-62/12

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x=-31/6

3 0

3 years ago

An airplane covers 94 miles in 1/6 of an hour. How many miles the plane can cover in 6 hours?

jeyben [28]

Let's find what 1/6 of an hour is.

1/6×60=10

So, ten minutes is equal to 1/6 of an hour. Let's find hour many sets of 10 minutes are in six hours. Let's first find the amount of minutes.

6×60=360

360÷10

Let's multiply that by 94.

94×36

3,384 miles in 6 hours.

7 0

3 years ago

Read 2 more answers

A<br> 4 x 3w<br> B<br> 5 - 4r<br> C<br> 8 ÷÷ 4p<br> D<br> 4 ÷÷ 2y

Dovator [93]

Answer:

ok?

Step-by-step explanation:

7 0

3 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

3 years ago