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olga55 [171]
3 years ago
11

•) Find the sum. -3 1/3 + (-1 2/3)

Mathematics
2 answers:
Alja [10]3 years ago
6 0

Answer: 14.33

Step-by-step explanation:

aliya0001 [1]3 years ago
3 0

HOPE THIS WILL HELP U....

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Which point could be removed in order to make the relation a function? (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}
stepan [7]

We are given order pairs  (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}.

We need to remove in order to make the relation a function.

<em>Note: A relation is a function only if there is no any duplicate value of x coordinate for different values of y's of the given relation.</em>

In the given order pairs, we can see that (0, –2) and (0, 8) order pairs has same x-coordinate 0.

<h3>So, we need to remove any one (0, –2) or (0, 8) to make the relation a function.</h3>
7 0
3 years ago
Read 2 more answers
Please help with this question ​
zalisa [80]

Answer:

4cm^2

Step-by-step explanation:

First we need to find the length of the height of the triangle using Pythagoras:

a^2+b^2=c^2 (Substitute in what we have)

a^2+3√2(^2)=2√5(^2)   =   a^2 + 18 = 20 -> 20-18=2 √2=BD

Now we can find the area:

AD+DC= 3√2 + √2 = 4√2 x √2 = 8/2 = 4

6 0
3 years ago
From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour
Bogdan [553]

Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.

4 0
3 years ago
Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2).

Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}.

Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

Now, recall the definition of the complex exponential:

e^{z}=e^{x+iy} = e^x(\cos y +i\sin y).

So,

e^{2i-3} = e^{-3}(\cos 2+i\sin 2)

e^{-2i+3} = e^{3}(\cos 2-i\sin 2) (we use that \sin(-y)=-\sin y).

Thus,

e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

Now we group conveniently in the above expression:

e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2.

Now, substituting this equality in (I) we get

\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2.

Thus,

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

5 0
3 years ago
Calculate the diameter of a circle given the circumference to be 75.39cm. Round to the nearest hundredth place.
solong [7]
The answer is 75.39/pi, or 24.00.
3 0
3 years ago
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