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2 years ago

What sets does radical 12 belong to

1 answer:

3 0

Step-by-step explanation: The square root of 12 is represented in the radical form as √12 which is equal to 2√3. Since, 2√3 cannot be further simplified, hence such roots are called surds.

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When trying to find the probability of rolling an even number on a number cube with numbers 1 through 6, how many desired outcom

shepuryov [24]

Answer:

Step-by-step explanation:

3 even numbers 2,4,6

or 1/2

or 50%

7 0

3 years ago

Help with monomials if u help I will reward needed!! 10 pts

nignag [31]

I think this is the answer. i havent done any math for a while.

5 0

2 years ago

Find the measure of the central angle that you would draw to represent 67% in a circle graph. Round your answer to the nearest d

klio [65]

Okay so there are 360 degrees in a circle graph
So 67%*360 degrees =241 degrees

5 0

3 years ago

What complex number is represented by the polar coordinates (4, -pi/4)

nexus9112 [7]

Answer:

$\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

Step-by-step explanation:

A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>

Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.

Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.

$\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}$

Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

$\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

Hence, the complex number that has polar coordinate of (4,-45°) is $\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}$

3 0

1 year ago

Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,

uranmaximum [27]

Answer:

Step-by-step explanation:

The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:

active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:

325 = .45m and divide by .45:

m = 722.2 mg

6 0

2 years ago