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3 years ago

15

The base of a pyramid has n sides write an expression for the number of faces of the pyramid

1 answer:

kumpel [21]3 years ago

6 0

A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.

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Which expression is equivalent to log_5(x/4)^2?

viktelen [127]

For this case we must find an expression equivalent to:

$log_ {5} (\frac {x} {4}) ^ 2$

So:

We expanded $log_ {5} ((\frac {x} {4}) ^ 2)$ by moving 2 out of the logarithm:

$2log_ {5} (\frac {x} {4})$

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

$log (xy) = log (x) + log (y)$

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

$log (\frac {x} {y}) = log (x) -log (y)$

Then, rewriting the expression:

$2 (log_ {5} (x) -log_ {5} (4))$

We apply distributive property:

$2log_ {5} (x) -2log_ {5} (4)$

Answer:

An equivalent expression is:

$2log_ {5} (x) -2log_ {5} (4)$

3 0

2 years ago

HELP ASAP 10 POINTSSSS

lord [1]

Use the Pythagorean theorem (a^2 + b^2 = c^2)

7^2 + 24^2 = x^2

x^2 = 625

x = 25

6 0

1 year ago

What is the 7 term in the sequence below?<br> 3, 12, 48, 192, ...

avanturin [10]

Answer:

12288

Step-by-step explanation:

its a geometric sequence where each term is 4 x the term before it

so the 7th term = 3 *4^6 = 12288

7 0

2 years ago

Read 2 more answers

Growth mindset is a belief that intelligence can improve through________

RoseWind [281]

Answer:hard work

Step-by-step explanation:

Remember this from last year Lol

3 0

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 10 24

galben [10]

Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: $\sf a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

a = 10
b = 24

Substitute the given values into the formula and solve for c:

$\sf \implies 10^2+24^2=c^2$

$\sf \implies c^2=676$

$\sf \implies c=\pm\sqrt{676}$

$\sf \implies c=\pm26$

Since length is <u>positive</u>, c = 26 only

3 0

1 year ago

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