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Korolek [52]
3 years ago
7

7 people are running in a race. If we only care about first, second and third place, how many possible outcomes are there?

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
7\cdot6\cdot5=210
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The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

Hypotenuse^2=Base^2+Perpendicular^2

(40)^2=(8)^2+(h)^2

1600=64+h^2

1600-64=h^2

1536=h^2

Taking square root on both sides.

\pm \sqrt{1536}=h

\pm 39.1918358=h

Height cannot be negative. Round to the nearest foot.

h\approx 39

Therefore, the height of the ladder on the wall is 39 foot.

5 0
3 years ago
Can someone please help me with this geometry please?
Crank

Answer:

<u>5x+13</u> ÷ 36 = 6x-2 ÷ 30

5x+13 ÷ 6 = 6x-2 ÷ 5

25x+65=36x-12

11x=77 → x=7

<u />

Step-by-step explanation:

5 0
3 years ago
9. A box of cereal is packaged and sold at a local
emmasim [6.3K]

Answer:

288 Cubic Inches

Step-by-step explanation:

Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.

First, do Base x Width x Height for the volume of the box.

10 inches x 3 inches x 1 foot      (1 foot is 12 inches)

10 x 3 x 12 = 360

Now, take 80% of 360 cubic inches.

80% is 0.8 times a number

0.8 x 360 = 288

288 Cubic Inches

8 0
3 years ago
Is -1 a rational number.
nata0808 [166]

Answer:

Yes it is a rational number

Step-by-step explanation:

Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.

4 0
3 years ago
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Help me find the missing sides
andrew-mc [135]

Answer:

ab= 11 and bc = 8

Step-by-step explanation:

5 0
3 years ago
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