Ask question

Ask question

All categories

3 years ago

6

The altitude of an equilateral triangle is 15. What is the length of each side?

1 answer:

Bogdan [553]3 years ago

6 0

An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
base = 10√3 = side length

You might be interested in

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2022 is 20222022. Is

Lynna [10]

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281.

<h3>What echo number is a perfect square</h3>

An <em>echo</em> number has a <em>perfect</em> square if its square root is also a <em>natural</em> number. After some iterations we found that <em>echo</em> number 20222022202220222022 is a <em>perfect</em> square:

$\sqrt{20222022202220222022} = 4496890281$

The <em>echo</em> number 20222022202220222022 is the <em>perfect</em> square of 4496890281. $\blacksquare$

To learn more on natural numbers, we kindly invite to check this verified question: brainly.com/question/17429689

8 0

3 years ago

The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap

Shalnov [3]

Answer: Options A and C.

Step-by-step explanation:

The parent exponential function has the form:

$f(x)=b^x$

This can be transformated as following:

When you multiply the function by a factor <em>a</em> ( $a*f(x)$ )<em> </em>and <em>a>0 </em>, then the function is vertically stretched.

When you add a number <em>k</em> to the parent function, the function is shifted up ( $f(x)+k$ )

The parent function given in the problem is:

$f(x)=2^x$

To obtain the function $g(x)=3*2^x+5$ , the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

5 0

3 years ago

Simplify the expression (6^2)^4.

Vlada [557]

Answer:

1679616

Step-by-step explanation:

36^4

7 0

3 years ago

Read 2 more answers

Subtract 7x + 2 from –5x2 – 2x.

Aleks [24]

Answer:

5x^2 + 9x + 2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help me need help need help

Minchanka [31]

Answer:

See attachment for answers

Step-by-step explanation:

4 0

3 years ago