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bixtya [17]
2 years ago
11

A company makes an ice-cream treat in the shape of a hemisphere on top of a cone, as shown below.

Mathematics
1 answer:
lesya [120]2 years ago
6 0

Answer:

56/3 pi  cm^3

Step-by-step explanation:

1/2 volume of sphere = 1/2  4/3 pi r^3

volume of cone   1/3 pi r^2 h

r =2   h = 10  

result :  56/3 pi  cm^3

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There are 65 children in the sixth grade. If the boys and girls are in the ratio of 8:5, what equation should be used to find th
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Answer:

8x+ 5y= 65

8x+ 5x= 65

Step-by-step explanation:

we ca take same x,y

6 0
3 years ago
Marta is solving the equation s=2πrh+2πr^2 for h. which should be the result?
Marta_Voda [28]

Answer: First option.

Step-by-step explanation:

Marta needs to subtract 2\pi r^2 from  both sides of the equation:

s=2\pi rh+2\pi r^2

s- 2\pi r^2=2\pi rh+2\pi r^2- 2\pi r^2

s- 2\pi r^2=2\pi rh

Now she needs to divide both sides of the equation by 2\pi r, then:

h=\frac{s- 2\pi r^2}{2\pi r}

Rewriting:

h=\frac{s}{2\pi r}-\frac{2\pi r^2}{2\pi r}

Simplifying, she should get:

h=\frac{s}{2\pi r}-r

This matches with the first option.

6 0
4 years ago
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What is the maximum number of stamps that you can buy with 3.84
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Step-by-step explanation:

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3 years ago
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Cos=square root of 11/ 6
4 0
3 years ago
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Please help:
pentagon [3]

A parabola with focus of (3, 4) and a directrix of y = 0 has the equation of the parabola as

  • y = 1/8(x - 3)²  + 2

<h3>How to write the equation of parabola </h3>

Quadratic equation is equal to  parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k    

where a = 1/4p

The focus

F (h, k + p) = (3, 4)

h = 3

k + p = 4

P in this problem, is the midpoint between the focus and the directrix

P = (4 - 0) / 2 =  2

p = 2

the vertex

v(h, k)

h = 3

k + p = 4, k = 2

v(h, k) = v(3, 2)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - 3)² =  4 * 2 (y - 2)

(x - 3)² =  8 (y - 2)

y = 1/8(x - 3)²  + 2

The quadratic equation is of the form y = 1/8(x - 3)²  + 2

Learn more about vertex of quadratic equations at:

brainly.com/question/29244327

#SPJ1

7 0
1 year ago
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