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dexar [7]
3 years ago
10

Can someone solve this

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = \frac{3\sqrt{3} }{2} s^{2}

Where s is the length of the sides

Substitute:

A = \frac{3\sqrt{3} }{2} s^{2}

A = \frac{3\sqrt{3} }{2} 10^{2}

Solve:

A = \frac{3\sqrt{3} }{2} 10^{2}

A = \frac{3\sqrt{3} }{2} 100

Multiply the numerator:

A = \frac{3\sqrt{3} }{2} 100

A ≈ \frac{5.12 }{2} 100

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ \frac{5.12 }{2} 100

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

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Step-by-step explanation:

You can’t know that, because you don’t know how many total apples there are.

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Help worth a lot of pounts
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Let x = amount of money you have in your account.

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3 years ago
Comparing the two ratios 2/4 and 1/2<br> 2/4 is larger
kumpel [21]

Answer:

<em><u>3.5 : 7 > 1.2 : 2.5.</u></em>

Step-by-step explanation:

1. Compare the ratios 4 : 5 and 2 : 3.

Solution:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.

2. Compare the ratios 5 : 6 and 7 : 9.

Solution:

Express the given ratios as fraction

5 : 6 = 5/6 and 7 : 9 =7/9

Now find the L.C.M (least common multiple) of 6 and 9

The L.C.M (least common multiple) of 6 and 9 is 18.

Making the denominator of each fraction equal to 18, we have

5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18

Clearly, 15 > 14

Now, 15/18 > 14/18

Therefore, 5 : 6 > 7 : 9.

3. Compare the ratios 1.2 : 2.5 and 3.5 : 7.

Solution:

1.2 : 2.5 = 1.2/2.5 and 3.5 : 7 =3.5/7

1.2/2.5 = (1.2 ×10)/(2.5 ×10 ) = 12/25 and 3.5/7 = (3.5 ×10)/(7 ×10) = 35/70 = 1/2

[We removed the decimal point from the ratios now, we will compare the ratio]

Now find the L.C.M (least common multiple) of 25 and 2

The L.C.M (least common multiple) of 25 and 2 is 50.

Making the denominator of each fraction equal to 50, we have

= 12/25 = (12 ×2)/(25 ×2) = 24/50 and 1/2 = (1 ×25)/(2 ×25) = 25/50

Now, 25/50 > 24/50

Therefore, 3.5 : 7 > 1.2 : 2.5.

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2 years ago
10.) Kelly is flying a kite to which the angle of elevation is
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Answer:

61.08m

Step-by-step explanation:

Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:

  • l = 65m
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As you can see, there has been made a right angle triangle. So:

sin70 =  \frac{h}{l}  \\ h = l \times sin70 \\ h = 65 \times 0.9397 = 61.08 \\ h = 61.08

So the kite is approximately 61.08m above the ground.

In order to find the sin70° i used a calculator.

3 0
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