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3 years ago

A coin is tossed 17 times. in how many outcomes do exactly 6 heads occur?

Mathematics

1 answer:

masya89 [10]3 years ago

8 0

1 out of 2 outcomes ! i hope i helped !

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

3 years ago

Read 2 more answers

-15-x=-22 What is the answer for this problem

Lelu [443]

Answer:

$x = 7$

Step-by-step explanation:

$-15-x=-22 \\ -15-x + 22 = 0 \\ 7 - x = 0 \\ 7 = x \\ x = 7$

5 0

3 years ago

Read 2 more answers

Thank you for your time

malfutka [58]

Answer:

m∠5= 130°

Explanation:

If lines A and B are parallel we can assume that the angles in the same locations are equal

6 0

3 years ago

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Can someone help me real quick PLEASE

suter [353]

Answer:

The hexagon has an area of 220.6 square units.

Step-by-step explanation:

You can solve this by realising that the hexagon can be divided into 6 equilateral triangles of the same area.

The area of the triangle is the same as a rectangle of the same width and height, but divided by two, and we're told that the width of the side is 9.2, and the height is eight. So the total area of the hexagon is:

6 × (9.2 × 8) / 2

= 9.2 × 24

= 220.6

So the hexagon has an area of 220.6 square units.

7 0

3 years ago

Please help Solve s=4+sqrt(s+2)

AysviL [449]

The correct answer is S =7

4 0

3 years ago

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