Answer:
1/216
Step-by-step explanation:
The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.
<h3>Linear scale factor</h3>
If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.
<h3>Volume scale factor</h3>
The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...
(1/6)³ = 1/216
The volume of the filled portion of the cup is 1/216 of the volume of the cup.
(–1, 4) to (–4, 1) and <span>(4, 1) to </span><span>(–1, –4)
so
The rule is (x,y) --> (-y,-x)
The reflection over y = - x
hope it helps
</span>
Answer:
A=104
Step-by-step explanation:
x=14 so u plug that into angle A's equation
Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
Answer:
Step-by-step explanation:
Given the simultaneous inequality
2x+y<10 ....... 1
2x-4y<8 ....... 2
Subtract both equation from each other
(2x-2x)+(y-(-4y))<10-8
0+5y<2
y < 2/5
y < 0.4
Substitute the given value of y into 1;
2x+y<10
2x + 2/5 < 10
2x < 10 - 2/5
2x < 48/5
10x < 48
x < 4.8
Hence the solution to the inequality expressions is (4.8, 0.4)
