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jonny [76]
2 years ago
12

Volume round to nearest tenth

Mathematics
1 answer:
Bas_tet [7]2 years ago
8 0

The total volume of the given figure is:

V = 311.65cm^3 + 246.97cm^3 = 558.62cm^3

<h3>How to find the volume of the given figure?</h3>

Here we have two simple shapes.

Half a sphere, and a cone.

The volume of half a sphere of radius R is:

V = \frac{2}{3}*3.14*R^3

And here we know that R = 5.3cm, replacing that we get:

V = \frac{2}{3}*3.14*(5.3cm)^3 = 311.65cm^3

For a cone of radius R and height H, the volume is:

V = \frac{3.14*R^2*H}{3}

In this case, R = 5.3cm and H = 8.4cm

The volume of the cone is:

V = \frac{3.14*(5.4cm)^2*8.4cm}{3} = 246.97cm^3

Then the total volume is:

V = 311.65cm^3 + 246.97cm^3 = 558.62cm^3

If you want to learn more about volume:

brainly.com/question/1972490

#SPJ1

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Answer:

  0

Step-by-step explanation:

This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.

  y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"

Comparing to your equation, you see ...

  a = -1/2, h = 3, k = -1

The vertex is (h, k) = (3, -1). The vertical scale factor is negative.

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This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)

Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.

3 0
3 years ago
What does coordinates mean?
lisabon 2012 [21]
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5 0
3 years ago
Read 2 more answers
a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid
gogolik [260]

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

7 0
3 years ago
In point-slope form that passes through the point (-3,7) and has a<br> slope of 1/2
adell [148]

Answer:

The answer is

\huge \boxed{y - 7 =  \frac{1}{2} (x + 3)}

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-3,7) and slope 1/2

We have

y - 7 =  \frac{1}{2} (x + 3) \\

Hope this helps you

6 0
3 years ago
PLS HELP ME!! THIS IS DUE TOMORROW
Oksana_A [137]
Answer:
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E.y=4x+10
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