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iragen [17]
3 years ago
13

What is the volume of a hemisphere with a diameter of 61.5cm?

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

Answer:

60897cm³ (5sf)

Step-by-step explanation:

Radius = 61.5 ÷ 2 = 30.75cm

Volume of sphere = 4πr³/3

Hemisphere's volume = (4π(30.75)³ ÷ 3) ÷ 2 = 60897cm³ (5sf)

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Write an equation in standard form for the line that passes through the given points (0,-3) and (7,0)
nata0808 [166]

The equation in standard form that passes through (0, -3) and (7, 0) is 3x – 7y = 21

<u>Solution:</u>

Given, two points are (0, -3) and (7, 0)

We have to find that a line that passes through the given two points in standard form.

First let us find the slope of the line that passes through given two points.

The slope of the line "m" is given as:

\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

\text { So slope of our line }=\frac{-3-0}{0-7}=\frac{-3}{-7}=\frac{3}{7}

Now, let us find the line equation using point slope form:

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { is point on the line. }

\text { Then, line equation } \rightarrow y-0=\frac{3}{7}(x-7)

7(y – 0) = 3(x – 7)

7y = 3x – 21

3x – 7y = 21

Hence, the line equation in standard form is 3x – 7y = 21.

3 0
3 years ago
The dependent variable, y is 6 less than the independent variable, x.
Maslowich

D) because “y is” means “y equals” leaving only 2 choices, and it said “6 less than the independent variable, 6. (Y=6-x)

3 0
3 years ago
Write an equation point slope form for the line that goes through the given point with the given slope.
Aleksandr-060686 [28]
Y - y1 = m(x - x1)
slope(m) = -1/2
(-4,-2)...x1 = -4 and y1 = -2
now we sub
y - (-2) = -1/2(x - (-4) =
y + 2 = -1/2(x + 4) <=====
3 0
3 years ago
Plsss answer this rlly need dont answer this for just points plsss :(
klio [65]

1)V=Ixwxh

=5 cm x 3 cm x 2 cm

=30 cm³

2)V=bxh

=(10m x 6m) x 4m

= 60 m² x4 m

3)V=Ixwxh

=3 cm x 3 cm x 3 cm =27 cm³

=240 m³

4 0
2 years ago
A marketing company had a profit of 5625.14 in January a loss of 4250.35. In February and a profit of 1475.55 in March did the c
timofeeve [1]
Jan. profit.....    5625.14
feb..loss...     - 4250.35
march..profit...1475.55

add the profits and subtract the losses...if the result is positive, then the company made a profit....if the result is negative, then the company had a loss.

(5625.14 + 1475.55) - 4250.35 = 7100.69 - 4250.35 = 2850.34.....as u can see, the result ended in a positive number....so, in the 3 month period, the company made a profit of $ 2850.34 <==
5 0
3 years ago
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