In circle P shown, the measure of angle P Q S is 20°.

Answer:

The correct answer is;

The replacement cone holds 4·π cubic inches more than the volume of the original cone  

Step-by-step explanation:

The given measurements of the cones are;

The radius of the original cone, r₁ = 3 inches

The height of the original cone, h₁ = 4 inches

The radius of the replacement cone, r₂ = 4 inches

The height of the replacement cone, h₂ = 3 inches

The volume of a cone, V = (1/3)·π·r²·h

The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁

∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³

The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂

∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³

The ratio of the volume of the two cones is given as follows;

Volume ratio = V₁/V₂

∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4

The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³

Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.

Answer:

6% growth

Step-by-step explanation:

The equation =

A = 2300(1.06)⁷

What does 0.06 represent in the equation?

The formula for Exponential growth =

y = a (1 +r)^t

Where

y = Size after time t

a = Initial size

r = Growth rate in Percentage

t = Time t

Equating both Equations together

y = a (1 +r)^t = A = 2300(1.06)⁷

1 + r = 1.06

r = 1.06 - 1

r = 0.06

Converting to percent

r = 0.06 × 100

r = 6% growth rate

Answer:

Function 1 rate of change: 1/2

Function 2: 5/6

Function 2 has the greatest rate of change

Step-by-step explanation:

Answer:

Hi! The answer to your question is y=-3x+1

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

9514 1404 393

Answer:

  x = (9/2)√2 = 4.5√2

Step-by-step explanation:

We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:

  9 = x·√2

  9√2 = 2x . . . . multiply by √2

  (9/2)√2 = x . . . divide by 2

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25

Answer: there is no picture I will help if you repost it ? Brainliest if you can I need 4 more to rank up

Step-by-step explanation:

Answer:

X= 8 and y= 138

Step-by-step explanation:

IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION

Answer:

Step-by-step explanation:

y = -x - 9

y = 2x + 3

Find point of intersection

2x + 3 = -x - 9

x = -4

Intersection: (-4,-5)

Answer:

4/5

Step-by-step explanation:

you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

Answer:

maybe

Step-by-step explanation:

Answer: 9/8

Step-by-step explanation:

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

Answer:

i = -9

Step-by-step explanation:

4i-5i =10 -1

-i= 9

i=-9

Answer:

The answer is the third option, 20.

the slope of this line is either A) 3 or C) 1

I think its 3

Answer:

no

Step-by-step explanation:

Answer:

Hi! The answer to your question is 65

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right

Step-by-step explanation:

Answer:

Cone: 100ft^3

Sphere: 200ft^2

Step-by-step explanation:

Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:

[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]

So we can just instantly tell that the volume of the cone is 100feet^3.

Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]

[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]

So we can instantly tell that the volume of the sphere is 200feet^3

Answer:

Rock, Pop, Metal, Country

Step-by-step explanation:

Isn't it just the least probability of picking a certain CD to the most probability. Shows it all in the graph, I may be wrong.

Answer:

Opens up

Step-by-step explanation:

x^2+2x-15

Standard form: ax^2+bx+c

If a<0, then the graph opens down

If a>0, then the graph opens up.

In this case: 1x^2+2x-15

a=1

Since 1>0 then the graph opens up.

Answer:

Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.

Part B - y = 30x + 20

Step-by-step explanation:

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

What is mean by Function?

A relation between a set of inputs having one output each is called a function.

Given that;

James earns 20 allowance every month.

And, Earn 30 for each a on his report card.

Now,

Let number of report card = x

Then, We can formulate the equation as;

⇒ f (x) = 30x + 20

Where, x is number of report card.

Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.

Thus,

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown