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MatroZZZ [7]
4 years ago
6

Rosa claims the longest string of prime factors for 30 is 2x3x5. Tyee claims there is a longer string, 1x2x1x3x1x5. Who is corre

ct why?
Mathematics
1 answer:
anyanavicka [17]4 years ago
5 0
Rosa is correct, as 1 is not considered a prime no.
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Help meeeeeeeeeeeeee
blagie [28]

Answer:

perimeter= 2(l+b)

=2(36+23)

=118m

area =l×b

=36×23

=828m²

8 0
3 years ago
Write an equation of the line passing through the points (3,1) and (−1, −7).
ioda
The answer is y = 2x - 5.
4 0
3 years ago
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Which would be the most accurate tool for measuring the length of a typical sized classroom room? (select one)
vichka [17]
The answer will be (vii)!
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3 years ago
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Find the argument of the complex number -3–9 in the interval 0°< ϴ < 360°,
Bingel [31]

Answer:

\theta=251.6^\circ

Step-by-step explanation:

<u>Complex Numbers</u>

They are expressed as the sum of a real part and an imaginary part:

Z = a+b\mathbf{ i}

Complex numbers can also be expressed in polar form:

Z = r(\cos\theta+\sin\theta \mathbf{ i}) = r. cis(\theta)

Where r is the modulus of the complex number and θ is the argument.

The argument can be calculated by:

\displaystyle \tan\theta=\frac{b}{a}

The angle θ must be calculated in the appropriate quadrant depending on the signs of the real and imaginary parts.

The complex number is given as:

Z = -3 -9\mathbf{ i}

Here: a=-3, b=-9

Since both components are negative, the argument lies in the third quadrant (180° < θ < 270°).

\displaystyle \tan\theta=\frac{-9}{-3}

\displaystyle \tan\theta=3

\theta=\arctan(3)

The calculator gives the answer 71.6°, we need to adjust the angle to the third quadrant by adding 180°, thus

\mathbf{\theta=251.6^\circ}

6 0
3 years ago
The scale of a map is 1 inch: 250 miles. City A is 378 miles from City B. To the nearest tenth, how far is its distance on the m
juin [17]
This is a proportion question. We can express this as an equation where the answer is x:

\frac{1}{250} = \frac{x}{378}

From there, you can just cross-multiply and divide to get:

\frac{1 * 378}{250}

A tenth of 250 is 25, so this is roughly \frac{375}{250} or \frac{17}{10}, so it'll be approximately 1.7 inches on the map.
6 0
4 years ago
Read 2 more answers
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