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Irina-Kira [14]
3 years ago
11

On a scale drawing of a museum, 1 centimeter equals 712 meters. The width of the museum is 90 meters.What is the width of the mu

seum on the scale drawing?
Mathematics
1 answer:
NemiM [27]3 years ago
8 0
1cm = 712
100cm = 1m 
1000cm= 10m
9000cm= 90m
9000x712= 6,408,000m 
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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

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I,e s = 3 miles per hour

So, The speed of biker = S_2 = s = 3 miles per hour

And The speed of cyclist = S_1= 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

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3 years ago
Which linear inequality is represented by the graph?
Romashka [77]

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

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I NEEF HELP GO FIND MY QUESTION PLSSSS
torisob [31]
What’s your question ?
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3 years ago
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What is the measure of DOA
mixas84 [53]
Hi there!

The answer would be 120 so D.

Add all the measurements: 20 + 60 + 40 and you get 120.

Hope this helps ;)
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