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Tamiku [17]
3 years ago
3

Find the slant height of this square pyramid.

Mathematics
1 answer:
NeTakaya3 years ago
6 0
Check the picture below.

so, notice, we first use squarish base, to get the diagonal distance, then we use half that, for the triangle you see shaded above, to find the height "h" using the pythagorean theorem on each case.

on the bottom part of the picture, we use that "h" and since it's a square at the bottom, the distance from the center to a side is just 3, then we use the pythagorean theorem to get the slant height "sh".

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f(0) =  {4}^{3 \times 0  + 3}  =  {4}^{0 + 3}  =  {4}^{3}  = 64
The answer is above.
Additional note 1:
{4}^{3}  = 4 \times 4 \times 4 = 16 \times 4 = 64
Additional note 2:
In the answer I filled in "0" at the place where "n" was. This is because the question tells us n=0
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Solve the system of equations algebraically using substitution and elimination
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Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is \sqrt[3]{}(x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

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Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

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As we have a fractional exponent, you must convert the exponent to root:

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<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0
1 year ago
An isosceles triangle has a vertical angle of 108 and a base 20 cm long. Solve for the base angles in calculated altitude.
xeze [42]

Answer:

The base angles are 36° each

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and base angles to be equal.

If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.

Since the sum of angles in a triangle is 180°

The remaining angle in the triangle = 180°-108°

= 72°

Since the base angles are equal, this remaining two angles will share angle 72° equally.

The base angles = 72°/2

The base angles = 36°

This shows that the base angles are 36° each.

8 0
3 years ago
You are making identical gift bags using 12 crayons and 28 bottles of bubbles. What is the greatest number of gift bags you can
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Hope I could help.
4 0
2 years ago
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