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2 years ago

A fair coined is flipped what is the probability it will land on its head

1 answer:

5 0

For example, the probability of an outcome of heads on the toss of a fair coin is ½ or 0.5. The probability of an event can also be expressed as a percentage (e.g., an outcome of heads on the toss of a fair coin is 50% likely) or as odds (e.g., the odds of heads on the toss of a fair coin is 1:1).

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Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile

mario62 [17]

Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships is 135°40'. Each of two ships travel 402 miles.

It forms a isosceles triangle whose two sides are 402 miles and one angle is 135°40'. Since it is isosceles triangle then other two angles of the triangle is equal.

Let ∠B= 135°40', and AB = 402 miles , BC = 402 miles

Then the distance between the ships = AC

We know

The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40' [ since ∠A=∠C]

⇒2∠A=44°60'

⇒∠A= 22°30'

Again we know that,

$\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}$

Taking last two ratio,

$\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}$

Putting the value of BC , AC ,∠A,∠B

$\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}$

$\Rightarrow AC=\frac{402 \times sin135^\circ40'}{sin 22^\circ30'}$

≈734.106 miles

Therefore they are 734.106 miles apart.

3 0

3 years ago

Find the slope of the line that passes through (3,0) and (-10,-6)

balandron [24]

Answer:

Slope: 6/13

Step-by-step explanation:

7 0

3 years ago

Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position

horrorfan [7]

Answer:

39 degrees.

Step-by-step explanation:

We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.

so x = 399 - 360 = 39 degrees

5 0

3 years ago

Factor the following polynomial by grouping it in pairs.<br><br>4xy + 6 - x - 24

yKpoI14uk [10]

Combine Like Terms:

=4xy+6+−x+−24

=(4xy)+(−x)+(6+−24)

=4xy+−x+−18

Answer:

=4xy−x−18

3 0

3 years ago

List all x intercepts for y= -cos(1/2x + 1/5 pi) on the interval [-2/5pi,4pi]

Dahasolnce [82]

- cos ( 1/2 x + 1/5 π ) = 0 ( and because if cos α = 0, α= π/2 + k π, k ∈ Z )
1/2 x + π/5 = π/2 + k π, k ∈ Z
1/2 x = π/2 - π/5 + k π / * 2
x = π - 2π/5 + 2 k π
x = 3/5 π + 2 k π = 0.6 π + 2 k π
Answer:
If k = 0: x 1 = 0.6 π = 3π/5
k = 1 : x 2 = 2.6 π = 13π/5

3 0

3 years ago

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