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prisoha [69]
3 years ago
9

Samuel has a hamster cage that is a rectangular prism. It is 20 1/2 inches long, 12 inches

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

Step-by-step explanation:

Volume= length × width × height.... Volume= 20 1/2 × 12 × 10 1/4..... Volume= 2521 1/2 cubic inches or 2521.5 cubic inches

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4 0
3 years ago
Please find the square roots of the following complex number.
Nana76 [90]

Hey there,

First, find the square root of the given equation.

\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})

Best of Luck!

6 0
3 years ago
Giving brainliest! Please show the working out
tiny-mole [99]

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

7 0
3 years ago
Find the probability of rolling a sum of 3.
yarga [219]

Answer:

robability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.

Step-by-step explanation:

6 0
3 years ago
What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2
Elodia [21]
10abc^2\sqrt{49a^2b^2c^2}=70a^2b^2c^3 

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 

10abc^2\sqrt{49a^2b^2c^2} 

\sqrt{49a^2b^2c^2}=7abc 

7\cdot \:10aabbc^2c 

70aabbc^2c 

70a^2bbc^2c 

70a^2b^2c^2c 

70a^2b^2c^3
4 0
3 years ago
Read 2 more answers
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