This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
27
Divide
8.1 / 0.3
27
Hope this helps :)
Answer:
(-1,-2) OR x = -1 and y = -2
Step-by-step explanation:
y = 3x + 1
y = -x -3
so you would first multiply everything on y = -x -3 by 3 and get 3y = -3x -9
so then you would add 3y = -3x -9 to y = 3x + 1 (<u> to eliminate the x</u> )which would be 4y = -8 then divide by 4 and get <u><em>y = -2</em></u>
then you plug in y = -2 into any one of the equations but to make it easier i am going to plug it into y = -x -3 so now it would be -2 = -x - 3 then, add 2 to both sides which would be 0 = -x -1 then add 1 to both side 1 = -x then multiply both sides by -1 and get <u><em>x = -1</em></u>
<u><em>SO your answer would be </em></u> (-1,-2) OR x = -1 and y = -2 ( both of them are correct but it depends on what the teacher taught you)
Step-by-step explanation:
Line A : x + y = 2
The most likely equation for line B so that the set of equation has no solution is:
x + y = 4
====
x + y = 2
x = 2 - y
2-y + y = 4
0 = 4 - 2
0 ≠ 2
there is no value for x nor y. so, no solution.
Answer:
1. ?=100 2.?=70
Step-by-step explanation:
1. for the inner arch, you just have to multiply by 2 so 50x2
2. to find the inner arch from the outer arch, you have to divide by two so 140/2
