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Bogdan [553]
2 years ago
15

The front of the birdhouse is made using 45 square inches of would what is the height of the birdhouse

Mathematics
2 answers:
GaryK [48]2 years ago
8 0

Answer:

45

Step-by-step explanation:

a square is equal no mater what. here i bless the eyes

inysia [295]2 years ago
5 0

Answer:

30 I think. The bird house is 45 so minus 15 you get 30

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Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
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Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : \sigma= 13

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576  [Using z-table]

Then, the required sample size would be :

n=(\dfrac{(2.576)\cdot (13)}{8})^2

\Rightarrow\ n=(4.186)^2

\Rightarrow\ n=17.522596\approx18 [Round to next integer.]

Hence, the required minimum sample size = 18

4 0
3 years ago
If the time period of a vibrating body is 0.4 s, then it’s frequency is
irina1246 [14]

Answer:

2.5

Step-by-step explanation:

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2 years ago
Construction is a method that creates a mathematically precise geometric figure using a _____ and _____ .
torisob [31]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
3 years ago
Find the area of a parallelogram with a base of 14 m and a height of 5 m.
lapo4ka [179]

Answer:70 m

Step-by-step explanation:

4 0
2 years ago
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