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2 years ago

What is the value of x? If necessary leave your answer in the simplest radical form.

Mathematics

1 answer:

frutty [35]2 years ago

4 0

<h3>Answer: 32</h3>

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

You might be interested in

Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour

Dafna1 [17]

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

5 0

2 years ago

a six ounce bag of rice makes 7 servings at that rate find out how many ounces of noodles of 15 servings to the nearest ounces

Crank

6:7
?:15
It's some crazy number I worked out but: 12.86 is the best thing I could get lol

7 0

3 years ago

The formula for finding the area of a circle is A=pi r 2.Solve the formula for r

olga55 [171]

Answer:

See Explanation

Step-by-step explanation:

$A = \pi {r}^{2} \\ \\ \frac{A}{\pi} = {r}^{2} \\ \\ \huge \red{ \boxed{ r = \sqrt{\frac{A}{\pi} } }}$

3 0

3 years ago

Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.

gregori [183]

Answer:

7) $4 \ log_3(x) - 4 \ log_3(y)$

9) $5log_4(7) - 5log_4(12)$

11) $5log_5 \ (x) - log_5 \ (y)$

Step-by-step explanation:

$log_3 (\frac{x}{y})^{4}$

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Use Logarithm of a Quotient which states

$log_b \frac{M}{N} = log_b M-log_bN$

And also use Logarithm of a Power which states

$log_b\ M^{n} = n\log_bM$

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So using these two properties,

7. $4 \ log_3(x) - 4 \ log_3(y)$

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For #9, use the same logarithm propertied

$log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)$

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#11 is also the same concept

$log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)$

It is not - 5 log5(y) since only x is to the power of 5 not y

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Hope this is what you were looking for and helps you! Have a nice day/night :)

5 0

2 years ago

There are 7 boxes stacked on the floor in the math department supply closet. Each box has a height of 10 inches or 8 inches. The

Orlov [11]

Answer:

5 of the 7 boxes are 8 inches in height

Step-by-step explanation:

Mathematically;

1 ft = 12 inches

So, 5 ft will measure 5 * 12 = 60 inches

So from what we have ,

We want to combine 8 and 10 inches to give 60 inches total

Let the number of 10 inches be x and the number of 8 inches be y

Mathematically;

x + y = 7 •••••(i)

10x + 8y = 60 ••••(ii)

From equation i, x = 7-y

Put this in equation ii

10(7-y) + 8y = 60

70-10y + 8y = 60

70-60 = 10y-8y

2y = 10

y = 10/2

y = 5

5 0

3 years ago