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lutik1710 [3]
3 years ago
8

The area of a circular place is 45 square inches. Estimate the radius to the nearest integer.

Mathematics
1 answer:
aksik [14]3 years ago
5 0
A=pi(r)^2
45=pi(r)^2   divide by pi (3.14)
14.33=r^2   square root both sides
3.79=r         round
r=4


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Please help!!
weqwewe [10]

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

<u>Step(ii):-</u>

<em>The general form of the parabola in algebraically</em>

<em>                               y = a ( x-h)² +k</em>

<em>The equation </em>

<em>                           y = 4 ( x + 7 )² - 4</em>

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

<u>Final answer:-</u>

The vertex of the parabola  = (-7 , -4)  

8 0
3 years ago
I need help with this one and l also answered the first one but i’m not sure for this three angles
Norma-Jean [14]

Answer:

all three angles should add up to 180 so subtract what you know from 180 and you should be able to find everything from there

4 0
3 years ago
Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
3 years ago
The ratio of right handed students to left handed students is 18:4. What are three ratios that are equivalent to the one give
igor_vitrenko [27]
Multiply each by 2
so...
36:8
72:16
144:32
7 0
3 years ago
Write in standard form:
torisob [31]

Answer:

2) is the answers for the question

Step-by-step explanation:

please give me brainlest

3 0
3 years ago
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