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3 years ago

14

There are 4 red paint cans, 2 green paint cans, and 1 yellow paint can. What is the probability of choosing a yellow paint can t

hen a red paint can without replacement?

1 answer:

Sophie [7]3 years ago

5 0

The probability of those sequence of events is 2/21

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The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as

Kisachek [45]

Answer:

(b) cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

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To match the given expression exactly, we can choose ...

α = π/2

β = π/5

Then the difference is ...

α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

cos(3π/10)

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<em>Additional comment</em>

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

8 0

2 years ago

M is the midpoint of LN. L has coordinates (-3,-1) and M has coordinates (0,1). Find N coordinates.

miskamm [114]

To get the coordinates, we would use the midpoint formula (google it)

(X1-X2/2 , Y1+Y2/2)

(-3+0/2 , -1+1/2)

N: (-3/2,0)

8 0

3 years ago

PLS HELP ASAP I WILL GIVE BRIANLEIST

gtnhenbr [62]

Answer:

Orange juice: 125 mg
Cranberry juice: 90 mg

Step-by-step explanation:

For the first question/part:

Set up a proportion: $\frac{750}{6} = \frac{x}{1}$
Cross multiply, then divide: 750 × 1 = 750, 750 ÷ 6 = 125

For the second question/part:

Set up a proportion: $\frac{135}{1.5} = \frac{x}{1}$
Cross multiply, then divide: 135 × 1 = 135, 135 ÷ 1.5 = 90

I hope this helps!

8 0

3 years ago

Read 2 more answers

What are the missing side lengths for the triangle?

ser-zykov [4K]

Answer:

$BC=5\sqrt{2}$ , $AC=5\sqrt{4}$

Step-by-step explanation:

In a 45-45-90 relation triangle the two shortest sides will have equal length, meaning:

$BC=5\sqrt{2}$

To find the hypotenuse we must multiply the shortest side by $\sqrt{2}$ , both sides are equal so it doesn't matter which we multiply.

$AC=5\sqrt{2} \sqrt{2} \\AC=5\sqrt{4}$

3 0

2 years ago

Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working

lakkis [162]

Answer:

2 hours and 18 minutes

Step-by-step explanation:

4 0

3 years ago