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Scorpion4ik [409]
3 years ago
10

Find the surface area of the closed hemisphere

Mathematics
2 answers:
V125BC [204]3 years ago
8 0
Diameter = 8 yards so the Radius = 4 yards:

 Area of a sphere = 4π.R² and hemisphere = 2π.R²

Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)
lina2011 [118]3 years ago
3 0
Its about 100.530964915.
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Write the equation of the line in slope-intercept form using the two points: E(-1, 3) and F(-2, -3).
Mekhanik [1.2K]

Answer:

\large\boxed{y=6x+9}

Step-by-step explanation:

The slope-intercept form of the equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points E(-1, 3) and F(-2, -3). Substitute:

m=\dfrac{-3-3}{-2-(-1)}=\dfrac{-6}{-2+1}=\dfrac{-6}{-1}=6

Therefore the equation of a line is:

y=6x+b

Put the coordinates of the point E(-1, 3) to the equation and solve it for b:

3=6(-1)+b

3=-6+b             <em>add 6 to both sides</em>

9=b\to b=9

Finally we have:

y=6x+9

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2 years ago
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valentinak56 [21]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Joseph traveled from Boston to Framingham at 50mph and then back to Boston at 40mph. What was Josephs's average speed on the rou
snow_tiger [21]

Answer:

45mph

Step-by-step explanation:

To find the average speed, we must add together all of the different speeds and divide by the quantity of them (assuming all of them are equal in time). In this case we have 2: 50 and 40.

50+40=90.

Then we divide by 2, since there were two segments of equal length

\frac{90}{2} =45

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2 years ago
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When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?
Semenov [28]

Answer:

leading coefficient -3

constant 2

Step-by-step explanation:

Standard from is from largest power to smallest power

-3x^2 +5x +2

The leading coefficient is the number in front of the largest power of x

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The constant is the number without a power of x ( or x^0)

2

4 0
2 years ago
F over 5 equals negative 4​
AVprozaik [17]

Answer:

Step-by-step explanation:

f/5=-4

f=(5)*(-4)

f=-20

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3 years ago
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