Answer:
f(10)=sqrt(14)
Step-by-step explanation:
f(10) = sqrt(2x-6)
f(10)= sqrt(20-6)
f(10)=sqrt(14) - simplest form, no way to factor it.
Answer:
they are similar
Step-by-step explanation:
this is because of the degree of the angles and the measurements between the edges. The only reason it may not look the same is because it has been rotated and downsized.
Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.




Divide both sides by 2.


Therefore, the measures of both exterior angles are 65 degrees.
According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
To answer the question, we need to know what Black Holes are.
<h3>What are Black Holes?</h3>
Blackholes are regions of space in which no matter can escape
<h3>Characteristics of black holes</h3>
- Black holes are formed from the remnants of large star that dies in a supernova
- As long as the star is three times or more larger than the sun, it will collapse
- The gravitational force on the star causes it to collapse into a black hole
So, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.
So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
Learn more about black holes here:
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Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:

This gives


Collect like terms


Divide both sides by 4

(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:



(c) The number of gold ink bottles.
--- number of tickets
The length of all gold line in the 200 tickets is:



---- convert to meters

Given that:
--- 1 bottle for 20 m
The number of bottles (n) is:



Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
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