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jek_recluse [69]
1 year ago
8

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12St

artRoot 3 EndRoot cm2.
Mathematics
2 answers:
Elanso [62]1 year ago
6 0

Answer:

its b

Step-by-step explanation:

i just took the test on edge

masya89 [10]1 year ago
3 0

Answer:

16√3 cm³

Step-by-step explanation:

The volume of a triangular prism is given as:

V = (1/3)B*h

Where B is the area of the base and h is the height of the prism.

Given that B = 12√3. The height fro the diagram is BC.

Since ∠BAC = 30° and ∠BCA = 90°, we can find BC using trigonometric identity.

tan(30) = BC / AC

but AC = 4√3, hence:

tan(30) = BC / (4√3)

BC = 4√3(tan 30)

BC = 4

V = (1/3)B*h = (1/3)B* BC = (1/3) * 12√3 * 4 = 16√3 cm³

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Explain when the median of a data set is a better measure of center than the mean
vlada-n [284]

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.


Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

5 0
2 years ago
Read 2 more answers
What is the radical form of the expression?<br><br> (5x3y4)37<br> ↡
hram777 [196]

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

(\sqrt{5x^3y^4})^{3*\frac{1}{7}}

The 1/7 will be converted into base of radical while 3 will be he exponent

\sqrt[7]{(5x^3y^4)^3}

Multiplying exponents

=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}

Hence,

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
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#LearnwithBrainly

4 0
2 years ago
In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypot
lubasha [3.4K]
Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse
Such that
sin theta=opposite/hypotenuse
opposite=a=10 cm
sin 20=10/h
multiplying both sides by h we get
hsin20=10
hence;
h=10/sin20
h=29.24 cm
h=29.2 cm 

3 0
2 years ago
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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho
Margarita [4]

For this case, the first thing we must do is define variables.

We have then:

t: number of hours

F (t): total charge

We write the function that models the problem:

F (t) = 6t + b

Where,

b: represents an initial fee.

We must find the value of b.

For this, we use the following data:

Her total fee for a 4-hour job, for instance, is $ 32.

We have then:

32 = 6 (4) + b

From here, we clear the value of b:

32 = 24 + b

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Then, the function that models the problem is:

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Answer:

the function's formula is:

F (t) = 6t + 8

7 0
2 years ago
What is the range of the exponential function shown below
Vsevolod [243]

Answer : y>0

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f(x) is an exponential function

f(x) = 9*2^x

When we plug in positive value for x , the value of y is positive

When we plug in negative value for x , the value y is also positive

So for any value of x, the y value is positive always.

Range is the set of y values for which the function is defined

y values are positive , so range is y >0

3 0
2 years ago
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