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STALIN [3.7K]
3 years ago
14

Out of 27 participants in a track race, 5 are from China, 4 from the U.S.A., 3 each from the U.K. and Russia, and the rest from

other countries. The names of each participant are put in a hat and drawn at random to see who gets Lane 1 in the race. What is the probability that the participant who gets Lane 1 is from the U.S.A.? Write your answer as a decimal rounded to the nearest thousandth.
Mathematics
1 answer:
son4ous [18]3 years ago
4 0
I think it is 4 out of 5 but i dont know the number to the nearest thousanths 
but i hope this helps
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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?
11111nata11111 [884]

we have

A(-2, 2),B(6, 2),C(0, 8)

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

P=AB+BC+AC

and

the area of the triangle is equal to

A=\frac{1}{2}*base *heigth

in this problem

base=AB\\heigth=DC

we know that

The distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

Step 1

<u>Find the distance AB</u>

A(-2, 2),B(6, 2)

Substitute the values in the formula

d=\sqrt{(2-2)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

dAB=8\ units

Step 2

<u>Find the distance BC</u>

B(6, 2),C(0, 8)

Substitute the values in the formula

d=\sqrt{(8-2)^{2}+(0-6)^{2}}

d=\sqrt{(6)^{2}+(-6)^{2}}

dBC=6\sqrt{2}\ units

Step 3

<u>Find the distance AC</u>

A(-2, 2),C(0, 8)

Substitute the values in the formula

d=\sqrt{(8-2)^{2}+(0+2)^{2}}

d=\sqrt{(6)^{2}+(2)^{2}}

dAC=2\sqrt{10}\ units

Step 4

<u>Find the distance DC</u>

D(0, 2),C(0, 8)

Substitute the values in the formula

d=\sqrt{(8-2)^{2}+(0-0)^{2}}

d=\sqrt{(6)^{2}+(0)^{2}}

dDC=6\ units

Step 5

<u>Find the perimeter of the triangle</u>

P=AB+BC+AC

substitute the values

P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units

P=22.81\ units

therefore

The perimeter of the triangle is equal to 22.81\ units

Step 6

<u>Find the area of the triangle</u>

A=\frac{1}{2}*base *heigth

in this problem

base=AB=8\ units\\heigth=DC=6\ units

substitute the values

A=\frac{1}{2}*8*6

A=24\ units^{2}

therefore

the area of the triangle is 24\ units^{2}

4 0
3 years ago
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Show that 3650 is not a perfect square.​
KatRina [158]

Answer:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square. Obtain the digital root of the number. The digital root essentially is the sum of all of the digits.

Step-by-step explanation:

hope this helps you super sorry if it does not

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2 years ago
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Radda [10]
-320. The negative sign represents loss. In all of the other cases, values are either being added or not changed at all.
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Let A=(1,2,3,4,5)which of the following sets are equal to A?
Rom4ik [11]

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

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Given h(x)=-x+2, find h(2)
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Answer:

0

Step-by-step explanation:

Replace x with 2.

-(2)+2=0

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2 years ago
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