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Alex73 [517]
2 years ago
11

Grade For This Exam Selles

Mathematics
1 answer:
adell [148]2 years ago
8 0

Answer/Step-by-step explanation:

a. Volume of hemisphere = ½(⁴/3πr³)

r = 30 cm

Volume = ½(⁴/3 × π × 30³)

Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³

b. 4,500 cm³ = 1 min

56,549 cm³ = (56,549 × 1)/4,500

= 12.5664444 ≈ 12.6 mins

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olganol [36]

Answer:

The length of the missing side can be calculated by the following steps;

Step-by-step explanation:

5 0
3 years ago
Due to the distribution of the new iPhone, smartphone sales at Cinq's Electronic store has increased by
Lesechka [4]

Answer:

24565 phones sold in 2025

Step-by-step explanation:

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Hope this helps!

7 0
3 years ago
30. What is the solution to the system of equations? (1 point)
sesenic [268]

Answer:

Option B) (-1,7,5) is correct.

The solution to the given system of equation is (-1,7,5)

Step-by-step explanation:

Given system of equations are

-7x-2y+z=-2\hfill (1)

6x-y-z=-18\hfill (2)

5x+4y-z=18\hfill (3)

To find the solution of the given system of equations by using Elimination method:

Now adding equations (1) and (2)

-7x-2y+z=-2

6x-y-z=-18

_________________

-x-3y=-20

________________

-x-3y=-20

-(x+3y)=-20

x+3y=20\hfill (4)  (since "-" getting cancelled)

Now adding equations (1) and (3)

-7x-2y+z=-2

5x+4y-z=18

_________________

-2x+2y=16

________________

-2x+2y=16

2(-x+y)=16

-x+y=8\hfill (5)

Now adding equations (4) and (5)

x+3y=20

-x+y=8

_________________

4y=28

________________

y=\frac{28}{4}

Therefore y=7

Substituting y=7 in equation (4)

x+3y=20

x+3(7)=20

x+21=20

x=20-21

Therefore x=-1

Now substituting the values x=-1 and y=7 in equation (1) we get

-7x-2y+z=-2

-7(-1)-2(7)+z=-2

7-14+z=-2

z=-2+7

Therefore z=5

Therefore the solution to the given system of equation is (-1,7,5)

Therefore Option B) (-1,7,5) is correct.

8 0
2 years ago
Tom delivers newspapers every morning.
trasher [3.6K]

Tom started with 20 newspapers on the morning and returned with 8 newspaper.

<h3>Equation</h3>

Equation is an expression used to show the relationship between two or more variables and numbers

Let x represent the amount of newspaper Tom started with.

He Delivered 10 newspapers on Flinders Street, hence:

  • = x - 10

He Delivered 6 newspapers on Collins Street, hence:

  • = x - 10 - 6 = x - 16

He Picked up 20 newspapers from the newsagent and Delivered 15 newspapers on Lonsdale Street, hence:

  • = x - 16 + 20 - 15 = x - 11

He returned home there were eight newspapers in his bag. Hence:

x - 11 = 8

x = 20

Tom started with 20 newspapers on the morning and returned with 8 newspaper.

Find out more on equation at: brainly.com/question/2972832

3 0
2 years ago
There are 4 identical wooden blocks that are 20 inches long, 2 inches
Talja [164]

Answer:

Step-by-step explanation:

Each block has two 20×1 faces, two 20×2 faces, and two 2×1 faces.

Surface area of one block = 2(20×1) + 2(20×2) + 2(2×1) = 124 sq in

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Largest surface area: Assemble the blocks end-to-end into a block that is 80 by 2 by 1. Six of the 2 by 1 faces are hidden, so the surface area is 496 - 6(2×1) = 484 sq in.

Smallest surface area: Assemble the blocks into a block that is 20 by 4 by 2. Four of the 20 by 2 faces and four of the 20 by 1 faces are hidden, so the surface area is 496 - 4(20×2) - 4(20×1) = 256 sq in.

Difference in surface area = 484-256 = 228 sq in.

3 0
3 years ago
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