A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several examples to support your argument.
Answers
No, this is not true every time. It depends on the conditions given.
For example-
Suppose we have a Box A with dimensions 10 x 10 x 1 and Box B with dimensions 5 x 5 x 5.
Box B has a surface area = 2(25+25+25) = 150 and a volume of 5*5*5= 125 cubic units
Box A has a larger surface area = 2(100+10+10) = 240 and a smaller volume = 10*10*1 = 100 cubic units
Similarly take an example of sphere.
Lets suppose the radius of the sphere is 2 cm
So, SA is 4πr² = 4*3.14*2*2 = 50.24 cm²
Volume of the sphere is = 4πr³ /3 = 33.50 cm³
Here also the SA is greater.
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5.4 5.400 less greater
If you needed to triple a recipe would the rate change? Please explain
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base=5.8 cm
height=2.4 cm
Area=(5.8 cm * 2.4 cm) / 2=6.96 cm²
The answer is A 6.96
Answers
Answer:
71
Step-by-step explanation:
Answers
so basically that is super easy to kno, i ddi it for you because i need cins asap
4x + 6y = 0
Answers
Answer:
The answer to your question is: (1/2, -1/3)
Step-by-step explanation:
Elimination
10x - 15y = 10 (I)
4x + 6y = 0 (II)
Multiply (I) by 2 and (II) by -5
20x - 30y = 20
-20x - 30y = 0
Add both equations
0 - 60y = 20
y = -20/60
y = - 1/3
Substitute y in (II)
4x + 6(-1/3) = 0
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
4(1/2) + 6(-1/3) = 0
4/2 - 6/3 = 0
2 - 2 = 0
0 = 0
Answer:
(1/2, -1/3)
Step-by-step explanation:
To solve using elimination, you have to make one of the variables from both equations additive inverses. Let's make the x-variables additive inverses.
First, we multiply the first equation by -2.
-2(10x - 15y) = -2(10)
-20x + 30y = -20
Now, we muliply the second equation by 5.
5(4x + 6y) = 0
20x + 30y = 0
If you look at the x-variables, now they are additive inverses. Now we add the two equations together.
-20x + 30y = -20
20x + 30y = 0
60y = -20
/60 /60
y = -1/3
Now you plug in the known y-value into any of the first equations. Let's use 4x + 6y = 0
4x + 6(-1/3) = 0
4x - 2 = 0
+2 +2
4x = 2
/4 /4
x = 1/2
The solution to this system of equations is (1/2, -1/3). You can change to decimal form if you want. To check your work, you plug in the x and y-values into the two equations in the question.
10x - 15y = 10
10(1/2) - 15(-1/3) = 10
5 + 5 = 10
10 = 10
So, the solution is true for this equation. Let's check the second one.
4x + 6y = 0
4(1/2) + 6(-1/3) = 0
2 - 2 = 0
0 = 0
Yes! When you plug the solution into the equations, they are true! So, your solution is (1/2, -1/3).
Answers
Let
A (0,-2) B (1,-3) C (2,-4) D ( 3,-5) E (4,-6)
using a graph tool
see the attached figure N 1
case a) exponential
see the attached figure N 2
case b) quadratic
see the attached figure N 3
case c) linear
see the attached figure N 4
case d) linear
see the attached figure N 5
therefore
the answer is
the case c) linear
Answer:
Which function best models the data in the graph?
C. Y=10.2x
Answers
To find the area of the two ends of the bookmark, two semicircles make one circle, so you can just find the area of one circle. The formula for the area of a circle is (3.14) x r². Because the diameter of the circle is the same as the width of the rectangle, half of the 4cm is the radius (2cm).
Area of Circle= (3.14)x(2²)=12.56 cm sq.
Total area = Area of rectangle + Area of Circle
TA= 48 + 12.56
TA= 60.56 sq cm