4 years ago

Twelve people are entered in a race. If there are no ties, in how many ways can the first three places come out?

1 answer:

7 0

$12\cdot11\cdot10=1320$

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dsp73

Slope = y2-y1 / x2 - x1

= -8-2 / -10-5
= -10 / -15
= 2/3

A

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3 years ago

-Dominant- [34]

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

$(8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}$

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

<h3>Hence, angle O is 52°.</h3>

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Neko [114]

on a horizontal number line . numbers to the left are less than numbers to the right .. numbers to the right are less than numbers to the left

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3 years ago

vlabodo [156]

6:4 or 3:2 is the answer

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3 years ago

tekilochka [14]

The height of the kite will be 6.6 ft rounded to the nearest tenth.

Explanation

According to the below diagram, AB is the height of the kite and AC is the 12 ft line attached to it.

The line is pulled taut and casts a 10 ft shadow. That means BC = 10 ft

Now, in right angle triangle ABC, using Pythagorean theorem....

$(AB)^2 +(BC)^2 = (AC)^2 \\ \\ (AB)^2 +(10)^2 = (12)^2 \\ \\ (AB)^2 +100 = 144\\ \\ (AB)^2 = 144-100 =44\\ \\ AB=\sqrt{44}= 6.6332....$

So, the height of the kite will be 6.6 ft rounded to the nearest tenth.

6 0

3 years ago