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kow [346]
3 years ago
13

What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:25.5m^3

Step-by-step explanation:

radius(r)=2.3m

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14x(2.3)^3

Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3

volume=(2x3.14x2.3x2.3x2.3) ➗ 3

Volume=76.40876 ➗ 3

Volume=25.5

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Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

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

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
2 years ago
Kendy and Fred keep borrowing and losing John’s pens. So John went to the store with $24 to spend on seven pens. After buying th
UkoKoshka [18]
Answer: each pen costed him 2 dollars

Explanation: 24 - 10 = 14
14 / 7 = 2 $ per each pen
6 0
3 years ago
The dimensions of a rectangles are 8cm and 12cm. What is the ratio of its length to its perimeter?
kari74 [83]

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

<h2>= 3 : 10 </h2>
3 0
2 years ago
10 mm<br>What is the length of the missing leg?<br>b = millimeters​
Marina86 [1]

Answer:

i

Step-by-step explanation:

ba

6 0
3 years ago
A motorboat travels 60 km in 4 hours with the current and 35 km in 3.5 hours against the current. Find the speed of the boat in
IceJOKER [234]

Step-by-step explanation:

Distance = rate × time

If b is the speed of the boat in still water, and c is the speed of the current, then:

60 = (b + c) × 4

35 = (b − c) × 3.5

Simplifying:

15 = b + c

10 = b − c

Add the equations together:

25 = 2b

b = 12.5

Plug into either equation to find c:

c = 2.5

The speed of the boat is 12.5 km/h, and the speed of the current is 2.5 km/h.

8 0
3 years ago
Read 2 more answers
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