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mariarad [96]
3 years ago
15

What are the constant of proportionality on these two?

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer:

k  =  y/x

as a fraction for both

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A cube has surface area of 96 sq cm. What is the length of each edge of the cube?​
Sedbober [7]
96/6=16
Each side has area 16 sq cm.
Each edge length is sqrt(16)=4 cm
8 0
3 years ago
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
3 years ago
PLEASE HELP 15 POINTS WILL GIVE BRAINLIEST The following formula, F = ma, relates three quantities: Force (F), mass (m), and acc
8_murik_8 [283]
Part A

The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication

F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m

Answer: a = F/m
Note: the slash "/" without quotes means "divide"

===========================================
Part B

Use the result from part A. We will plug F = -24 and m = 10 into that equation

a = F/m
a = -24/10
a = -2.4

Answer: -2.4

===========================================
Part C

We will use the equation F = m*a

F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2

Answer: 2


4 0
3 years ago
A total of 432 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
rusak2 [61]

Answer:

  144

Step-by-step explanation:

Adult tickets comprised 1/3 of the total, so 432/3 = 144 tickets.

6 0
3 years ago
What is the length of the side opposite the 30° angle?
Sladkaya [172]

Answer:

5/√3 inches long.

Step-by-step explanation:

The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.

8 0
3 years ago
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