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rosijanka [135]
3 years ago
14

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't

Mathematics
1 answer:
blagie [28]3 years ago
8 0
The diameter is about 1,275.4 because D=C/pi so 4007\pi=1275.4
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Graph a line that contains the point (3,-6) and has a slope of -1/2
djyliett [7]
If I were you, I would make the starting point (3,-6). From there, you will want to use the slope of -1/2 (go down 1 unit and to the right 2 units and draw a point)
4 0
3 years ago
What is the volume of a right circular cone that has a height of 18.8 m and a base with a radius of 19.3 m
12345 [234]

Answer: 7,333.32 m3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

V = 1/3 π (19.3)^2 (18.8) = 7,333.32 m3

The volume of the right circular cone is 7,333.32 cubic meters.

Feel free to ask for more if needed or if you did not understand something.  

7 0
2 years ago
Read 2 more answers
If there are 5 routes to travel between A and B, how many options are there for a person to travel form A to B and retrun back?
kupik [55]

Answer:

25

Step-by-step explanation:

5 0
2 years ago
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: T
jasenka [17]

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

8 0
3 years ago
All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal
zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62

Finally the height of this new triangle is 3.62 cm

6 0
2 years ago
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