Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
If 10% of songs represents 6 songs,
then 100% of songs represents (100 * 6) / 10 = 60 songs
The playlist has a total of 60 songs.
In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth
<h3>Expressing decimals in standard form</h3>
The standard form of an equation is expressed as A * 10^n
where
A is any number between 1 and 10
n is any integer
Given the sum below;
700+40+0.6+0.08+0.006.
Take the sum of the expression
740 +0.6 + 0.08 + 0.006
740.686
In standard form, it is expressed as 7.407 * 10^2 while he relationship between the values of the two 6s is that 0.6 is to the nearest tenth and 0.006 is to nearest thousandth
Learn more on standard form here: brainly.com/question/525947
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You would use the number 1.4 and multiply it by the number you are trying to increase.
Answer:
<u>Diagram 1</u>
Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)
Add a point on the circumference of the circle (point C2)
Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).
<u>Diagram 2</u>
The red circle intersects the black circle at two points (D and E).
Connect these 2 points of intersection with a line segment.
<u>Diagram 3</u>
Draw a third circle with center D and radius DE (shown in blue)
This circle intersects the black circle at point F.
<u>Diagram 4</u>
Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!