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Alik [6]
3 years ago
11

Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would

be the radius of Star Wars land?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
3 0

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

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Kaylis [27]

The answer is:

5n + 9 = 6

3 0
3 years ago
Plz help me answer this
OLEGan [10]

The correct answer is A.d* log_ba

Step-by-step explanation:

According to the power rule for logarithms, the logarithm of a power can be simplified by writing it as the product of the exponent multiplied by the logarithm of the base.

For example;

log_b(M^n)=nlog_bM

Hence in this case,

log_ba^d=d*log_ba

Learn More

Logarithms : brainly.com/question/11535704

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4 0
3 years ago
A wall with a height of 20 feet is braced with a support post that forms a 30 degree angle with the top of the wall. What is the
dexar [7]

The length of the support post is 40 ft.

<u>Solution:</u>

Given, the height of the wall is 20 ft; support post forms 30 degree

Refer the attached image

Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and \angle A is 30 degree (\theta) and AC is the length of the post.

To find: The length of the post (AC)

we know the formula, sin\theta=\frac{opp}{hyp} (trigonometric formula)

On substituting the values we get,

\Rightarrow sin(30^{\circ})=\frac{20}{AC}

The value of sin 30 degree is 0.5

\Rightarrow 0.5=\frac{20}{AC}\rightarrow AC=\frac{20}{0.5}\rightarrow AC=40 ft

3 0
3 years ago
Write and solve a proportion to complete the statement. Round to the nearest hundreth if necessary.
fiasKO [112]

The conversion of the following units are done below.

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  • 2.5 L = 0.65 gallons
  • 90 lb = 40.5 kg

<h3>What is conversion?</h3>

Conversion means to convert the same thing into different units.

We know the following unit's conversion.

1 km = 0.62 miles

6 km = 3.72 miles

    1 L = 0.26 gallons

2.5 L = 0.65 gallons

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90 lb = 40.5 kg

More about the conversion link is given below.

brainly.com/question/9414705

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2 years ago
The ratio of M &amp; M’s to raisins in a bag of trail mix is 3:5. If there are 36 M &amp; M’s, how many raisins are there?
Iteru [2.4K]
The correct answer is 60 raisins.  To get this answer you will write a proportion of M & Ms to raisins and create and equivalent ratio using the number 36.  

After you have the proportion set up, you will use cross products to solve for the number of raisins.

You can also use equivalent ratios to find the number of raisins.  

Both of these strategies are shown in the attached picture.

4 0
3 years ago
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