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zubka84 [21]
1 year ago
13

A spinner contains four equally shaded areas, as shown below. A spinner contains 4 equally shaded areas. 2 sections are shaded b

lue, one is orange, and the other is green. Louise spins the spinner twice. Which probabilities are correct? Check all that apply. P(both green) = One-sixteenth P(both blue) = One-fourth P(first green and then blue) = One-sixth P(first orange and then blue) = One-eighth P(first orange and then green) = One-fourth
Mathematics
2 answers:
snow_lady [41]1 year ago
8 0

Answer:A,B,D

Step-by-step explanation:

VashaNatasha [74]1 year ago
6 0

Answer: A, B, and D

Explanation:

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Use Euler's formula to derive the identity. (Note that if a, b, c, d are real numbers, a + bi = c + di means that a = c and b =
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Answer with Step-by-step explanation:

We have to prove that

sin 2\theta=2sin\theta cos\theta by using Euler's formula

Euler's formula :e^{i\theta}=cos\theta+isin\theta

e^{i(2\theta)}=(e^{i\theta})^2

By using Euler's identity, we get

cos2\theta+isin2\theta=(cos\theta+isin\theta)^2

cos2\theta+isin2\theta=(cos^2\theta-sin^2\theta+2isin\theta cos\theta)

(a+b)^2=a^2+b^2+2ab, i^2=-1

cos2\theta+isin2\theta=cos2\theta+i(2sin\theta cos\theta)

cos2\theta=cos^2\theta-sin^2\theta

Comparing imaginary part on both sides

Then, we get

sin2\theta=2sin\theta cos\theta

Hence, proved.

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2 years ago
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
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What kind of soup needs milk? I don't know any...

anyway, the amount of the liquid at the end was 2 5/8 and milk was 1 1/3 - we need to substract the amount of milk from the amount of total liquid afterwards:

2 \frac{5}{8} -1 \frac{1}{3}
bring the fraction to the same form:
2 \frac{15}{24} -1 \frac{8}{24}

substracting:

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which is also the answer
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A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
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1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas d
TiliK225 [7]

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

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