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3 years ago

Anybody know the answer to this?

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

First multiply

then add

4+3i/5+2i

anastassius [24]3 years ago

4 0

First distribute the top:

(2 - i) * (1 + 2i) = 2 - i + 4i - 2i^2 = 4 + 3i

Now, we have (4 + 3i)/(5 + 2i). We have to multiply by the complex conjugate of the denominator, which would be 5 - 2i:

{(4 + 3i) * (5 - 2i)}/{(5 + 2i) * (5 - 2i)} = (20 + 15i - 8i - 6i^2)/(25 - 4i^2) = (26 + 7i)/(25 + 4) = (26 + 7i)/29 = 26/29 + 7i/29

Your answer is:

26/29 + 7i/29.

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Make an estimate. Write a number sentence for you estimate 927 divided by 8

notka56 [123]

Answer:

estimated answer: 115

Step-by-step explanation:

By number sentence im guessing a word problem so if i'm wrong I apologize.

Johnny had 927 pokemon cards he wanted to get rid of so he shared them equally amongst 8 friends. If each friend received the same amount of cards than each friend shall receive about 115 cards

5 0

3 years ago

Of the people who fished at Clearwater Park today,

Vladimir79 [104]

The probability is 2/25 or an 8% chance. By taking the probability of the fishers from Clearwater (56/70) and multiplying that by the probability of the non fishers from Mountain view (8/80) we can find the total probability of the situation.

8 0

3 years ago

Please help me explain as well. AD is 48. I will give brainliest.

otez555 [7]

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

8 0

3 years ago

The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$

c) Using casio calculator to evaluate the integral gives:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$ = 2.54 inches

D) The total daily change in water level = $\int\limits^{24}_{0 } {W(t)} \, dt\\\\$ = 0.35 inches

8 0

2 years ago

an airplaine descends 1.5 miles to an elevation of 5.25 miles. find the elevation of the plane before its descent

Maksim231197 [3]

We can then write an equation representing this problem as:

e−1.5mi=5.25mi

Now, add 1.5mi to each side of the equation to solve for e while keeping the equation balanced:

e−1.5mi+1.5mi=5.25mi+1.5mi

e−0=6.75mi

e=6.75mi

The plane's starting elevation was 6.75 miles

Hope this helps!

8 0

3 years ago