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KengaRu [80]
2 years ago
9

Can you solve this please?

Mathematics
1 answer:
hram777 [196]2 years ago
7 0

Answer:

The constant of propotionality between y and x is 3.5.

Step-by-step explanation:

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3.A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round y
Marizza181 [45]
The answer is 2,713 in³

The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2

Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 =  1,186.92 in³

The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³

The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³  + 1,526.04 in³ 
V = 2,712.96 in³ ≈ 2,713 in³
5 0
3 years ago
Diga um numero divisivel por 539 e um de 3465
Gwar [14]
There are a few ways to find this. You can use prime factorization to find the LCM or the GCF

The GCF = 77 so 77 will divide into 539 and 3465

Answer = 77
---------------------------------------------------------------------------------------------------
Hay algunas formas de encontrar esto. Puede usar factorización prima para encontrar el LCM o el GCF

El GCF = 77 así que 77 se dividirá en 539 y 3465

responder =  77
8 0
3 years ago
Is (5x+4) a factor of (-21x^2-15-40x+5x^3
Tamiku [17]

Answer:

No. It is not.

Step-by-step explanation:

Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15

6 0
3 years ago
−4x+7y+5=0<br> x−3y=−5<br> ​How many solutions does the system have?
oksano4ka [1.4K]
A (solution) is a point of intersection. If the lines have different slopes then they will have one solution. If they have the same slope, then they will have either infinite or no solutions, depending on the y intercepts.

These equations have different slopes, therefore the system has 1 solution.
4 0
3 years ago
What is the area of a circle with a radius of 6 inches?
amm1812

Answer:

  • Area of circle = πr² ( Putting π = 22/7)
  • Area = 3.14×6×6
  • Area = 113.04

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

8 0
2 years ago
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