Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
32 pennies to each friend and 314 pennies remaining
Step-by-step explanation:
For the first step, we need to divide 128 by 4 to get the amount of pennies she gave to each friend: 128/4 = 32
For the second step, we need to subtract 128 from 442 to find out how many pennies she has left: 442-128 = 314
Hope this helps!
A scale is a term that refers to the <em>representative fraction</em> for comparing the <u>original</u> length and <u>image</u> length of a given <u>object</u>. It means implies that every 1 unit on the <u>drawing</u> is equal to <u>100</u> units on the <u>park</u>.
A <em>scale</em> is a term that can be referred to as the <em>representative fraction</em> that compares the <u>original</u> length and <u>image</u> length of a given <em>object</em>. Types of <u>scale</u> include enlarged scale, reduced scale, and real scale.
- Enlarged scale is a <u>scale</u> that is used when the <u>size</u> of a given <em>object</em> is to be <em>increased</em>.
- <em>Reduced scale</em> is used when the <u>size</u> of a given <u>object</u> is to be <em>decreased</em>.
- <u>Real scale</u> implies the <em>exact size</em> of a given <u>object</u>.
<u>Scale</u> can be expressed as;
Scale = 
Thus a <em>scale</em> has no unit.
Therefore, the given question <em>implies</em> that every 1 unit on the <u>drawing</u> is equal to 100 units on the <u>original</u> park. Thus it is a <em>reduced scale</em>.
For more clarifications on a scale drawing, visit: brainly.com/question/23209981
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In this question, you are given the volume of cylinder (24
cubic unit) and the ratio of the height:radius (3:1). Putting it into equation, it will look like this:
volume= 24
cubic unit
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume=
* radius * radius * height
24
cubic unit =
*(1/3 height) * (1/3 height) * height
24
cubic unit /
= 1/9 height cubic
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit
