4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
Answer:
5/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.
10 ÷ 218 ÷ 2.
Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.
The amount of metal he will need to cover the back of the shelves is 180 inches².
The figure above is like a composite figure. Therefore, lets find the area.
<h3>Area of the composite figure</h3>
The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.
Therefore, two rectangles can be drawn from it.
area of rectangle = lw
where
l = length
w = width
Therefore,
area of rectangle 1 = 9 × 8 = 72 inches²
area of rectangle 2 = 6 × 18 = 108 inches²
Total area = 108 + 72 = 180 inches²
Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².
learn more on area here: brainly.com/question/25849553
Answer:
Any angle that is on the inside of a shape is called an interior angle.
Step-by-step explanation:
Any angle that is on the outside of a shape is called an exterior angle. An exterior angle is made by extending one of the lines of the shape beyond the intersection point. ... Notice that the two angles make a straight line.
a) To find the volume of a cube, you cube the side length.
So, that will be V = 9/2³ = 729/8 in³.
b) To find the volume of a rectangular prism, you multiply the length by the width by the height.
So, that is V = 18 * 9 * 9/2 = 729 in³.
c) To find how many times the smaller box can go into the larger one, you divide the larger one's volume over the smaller one's.
That is <em>729/(729/8) = 729*8/729 = </em><em>8 boxes</em><em>.</em>
