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Elena L [17]
3 years ago
10

Can someone tell me the answer for this please

Mathematics
1 answer:
Goshia [24]3 years ago
7 0
Exterior angle equals sum of interior opposite angles
10x = 7x + 30
3x = 30
x = 10 so the exterior angle = 10 x 10 = 100 degrees
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The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side leng
Firlakuza [10]

Answer:

40 hope this helps have a great day

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Semenov [28]
Is it a fraction? Or what
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Find [5(cos 330 degrees + I sin 330 degrees)]^3
earnstyle [38]
Given a complex number in the form:
z= \rho [\cos \theta + i \sin \theta]
The nth-power of this number, z^n, can be calculated as follows:

- the modulus of z^n is equal to the nth-power of the modulus of z, while the angle of z^n is equal to n multiplied the angle of z, so:
z^n = \rho^n [\cos n\theta + i \sin n\theta ]
In our case, n=3, so z^3 is equal to
z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ] (1)
And since 
3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}
and both sine and cosine are periodic in 2 \pi,  (1) becomes
z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]

6 0
3 years ago
What is the following product?
VMariaS [17]

For this case we must find the product of the following expression:

\sqrt {12} * \sqrt {18}

We combine using the product rule for radicals:

\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}

So, we have:

\sqrt {12 * 18} =\\\sqrt {216} =

We rewrite the 216 as6 * 6 * 6 = 6 ^ 3 = 6 ^ 2 * 6

\sqrt {6 ^ 2 * 6} =

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a

Then, the expression is:

6 \sqrt {6}

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Option D

6 0
3 years ago
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A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Butoxors [25]

Answer: = ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

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Substituting the values we have;

65.3 +/-1.645(5.2/√36)

65.3 +/-1.645(0.86667)

65.3+/- 1.4257

65.3+/- 1.4

= ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

4 0
3 years ago
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