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Lesechka [4]
3 years ago
15

Which of the following shows a circle circumscribed about a triangle?

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer: The first option.

Step-by-step explanation:

1. By definition,  when a circle circumscribed about a triangle it passes through all the vertices of that triangle (As you know, a triangle has three vertices).

2. As you can see in the figure attached, the only circle that passes through three vertices of the triangle is the the circle of the first optin. Therefore, you can conclude that that circle is circumscribed about the triangle.

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Find the volume of the cylinder. Give you answers both in terms of π and rounded to the nearest tenth.
Ugo [173]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Height = 19 cm

Since the base area is 24π cm², we would determine its radius by applying the formula,

Area of circle = πr²

24π = πr²

r² = 24

r = √24

Therefore,

Volume of cylinder = π × (√24)² × 19 = 456π cm³

It is approximately

456 × 3.14 = 1431.8 cm³

3 0
3 years ago
There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

3 0
3 years ago
The temperature in Alaska can reach -30 degrees Fahrenheit during the winter months it is colder in Antarctica than in the Alask
Fofino [41]

Answer:

B. -40°F

Step-by-step explanation:

its- clearly lower than -30

4 0
3 years ago
Read 2 more answers
5 gallons 11 quarts divided by 5
bekas [8.4K]
1.55 us gallons.
hope i could help!
Thunderclan89
8 0
3 years ago
Read 2 more answers
A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What is the original
Thepotemich [5.8K]

Answer:$50

Step-by-step explanation:

So we have the sweater that’s $30 with a sale of 60% of the original price.

That means $30=60% of the original

So

30=60%start with this

5=10% divide 6 by both sides to get 10%

50=100% times by 10 to get 100%, which is the original price.

So the original price of this sweater is $50

:D

4 0
3 years ago
Read 2 more answers
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