Answer: 8(x + (-5)) = 2x
Step-by-step explanation: Lets have that "certain" number be x. We wrote an equation to represent the problem.
Answer:Consider the parent equation of a every quadratic equation which is y=^2. which of the following points below meets the requirement by falling in the solution set? y≤x^2 a; y=10,000 b; y=-1.000 c; y=0,5 d; y=17/3
Step-by-step explanation:
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.
<span>30cm is the difference between the height of the soap in the full dispenser and height of the remaining soap.
</span>The formula for cylindrical height is:
Area
-------- - r
2 * π * r
Cylindrical height of full dispenser.
5652 5652
--------------------- - 7.5 = ------------ - 7.5 = 120 - 7.5 = 112.50
2 * 3.14 * 7.5 47.1
Cylindrical height of dispenser with lesser liquid soap
4239 4239
-------------------- - 7.5 = ------------ - 7.5 = 90 - 7.5 = 82.50
2 * 3.14 * 7.5 47.1
Cylindrical height of full soap 112.50
Cylindrical height of lesser soap - 82.50
Difference in height of soap content 30.00
Hope it helps! :D
