Answer in factored form 5x^3-25x^2+20x

What is the partial product of 434x310

Svetach [21]

You just simply multiply 434×310 will give you your answer

3 0

4 years ago

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4. State one use of the following gases: a) Argon - b) Helium -

Aleonysh [2.5K]

Step-by-step explanation:

HELIUM: To fill air balloon

ARGON: Used for filling incandescent metal filament electric bulbs

5 0

3 years ago

What is the complex number z=−3+3√3i represented in polar form? z=____cis(____)

maks197457 [2]

Answer:

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos $\theta$ and y = rsin $\theta$

where r is the modulus of the complex number and $\theta$ is the argument, z in polar form is represented as:

z = rcos $\theta$ + rsin $\theta$

z = r(cos $\theta$ + isin $\theta$ )

z = rcis $\theta$

Given the complex number z=−3+3√3i

r = $\sqrt{x^{2}+y^{2} }$

$r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2} } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6$

$argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg$

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0

4 years ago

What's the value of x in the figure?

kykrilka [37]

Answer:

B) 78

Step-by-step explanation:

The two lines we are going to want to pay attention to for this problem are line S and line Q. ALWAYS remember that a line adds up to 180 degrees. This means that when we find x, we know that 57 + x + another number equals 180, because they are all angles on line S.

So, all we need to do is find this "other number". We can do this by looking at line Q. Again, since all lines add up to 180, the other angle on line Q must be 45 degrees, because 135 and 45 add up to 180. And now we know our "other number", its 45!

But how do we know the "other number" is 45? Well, its because the lines that creat these angles are both parallel (line S and line R) and have the same line crossing them (line Q).

Now we can finish our problem. We should get 57 + x + 45 = 180. This then gives us x = 78.

8 0

3 years ago

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:

SCORPION-xisa [38]

Hey there!

(Part 1) 

Your question states:

Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.

180°-70°= 110° ✓

This person would be driving 110° degrees. ✓

So, what we would do it do 180° subtracted by 70. We need to find how much he turns onto King Avenue heading northeast. So we do 180° because that would be considered a full half turn, so 180° subtracted by 70 and that would give you . . .

180° - 70° = $\boxed{\boxed{110}}$

(Part 2)

Your question states:

Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

This may be a little tricky on this side. These side's are coherent. As we know now that the angel on (King Ave.) was 110°, we would say the on the (3rd angel through King Ave.) that angel as well would be 110° because that is the angel on top. This would mean that they would be the same. But the thing is, we are finding what is the angel when the car is traveling southwest on King Avenue and turns left onto 3rd Street. This angel would be 70° degrees because as we do 70° + 70° + 110° + 110° = 360°.

This is how we would know that this would be that angel going into (3rd Ave).

My steps: 360° - 110° - 110° = 140°.

140° ÷ 2 = ∡70° ✓

Your correct answer would be $\boxed{\boxed{70}}$

Step #3

Your question states:

Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Your correct answer would equal 110°. ✓

My steps:

360° - 75° - 75° = 210°

210° ÷ 2 = 105° ✓

Your correct answer would be $\boxed{\boxed{105}}$
_____________________________________________________________

I Hope this help you!
~Jurgen

4 0

4 years ago

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