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Nata [24]
3 years ago
9

Factorize 10x3y2+5x3y3-15x4y5

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

−5x^3y^2(3xy^3−y−2)

i hope this helped :D

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Can the set of lengths be the side lengths of a right triangle?
andreyandreev [35.5K]

Answer:

B. No.

Step-by-step explanation:

We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.

We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.

17^2=12^2+7^2

289=144+49

289>193

Since the sum of  squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.

4 0
3 years ago
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A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.
Ainat [17]

Answer:

height of the cone  = 4.01273885 units

Step-by-step explanation:

Volume of a cone(V) is given by:

V = \frac{1}{3} \pi r^2h             ....[1]

where,

r is the radius and h is the height of the cone.

As per the statement:

A cone with radius 5 units and ts volume is 105 cubic units

⇒r = 5 units and V = 105 cubic units

Substitute these given values and use \pi = 3.14 in [1] we have;

105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h

Multiply both sides by 3 we have;

⇒315 = 78.5 \cdot h

Divide both sides by 78.5 we have;

4.01273885 = h

or

h = 4.01273885 units

Therefore, the height of the cone is, 4.01273885 units

6 0
4 years ago
Read 2 more answers
I really need help with this problem.
nekit [7.7K]
It is d i think dont quote me
5 0
3 years ago
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1
bogdanovich [222]

Answer:

12$ an hour

Step-by-step explanation:

60 minutes in an hour 15 times 4= 60 which is one hour, so 4 times 3 equals 12 which is the answer

4 0
3 years ago
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What is the quality of 4x+27x=5
Nadya [2.5K]

Answer:

<h3>X=5/31=0.16</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

4x+27x=31x (Combine like terms, group like terms, & Add.)

31x=5

31x/31=5/31 (Divide by 31 from both sides.)

5/31=0.16

x=5/31=0.16

In conclusion, the correct answer is x=5/31=0.16.

8 0
3 years ago
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