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frutty [35]
3 years ago
8

How you use the Pythagorean theorem in 3D.

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

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Last month Leonhard Euler's Watch kiosk at the mall had total sales of $9,489. Merchandise totaling $225 was returned. The goods
DerKrebs [107]

Answer:

463 dollars                    

Step-by-step explanation:

4 0
3 years ago
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
LUCKY_DIMON [66]
200 hours.

It’s 10km for every one hour
Divide 2000 by 10 and you will be left with the number of km for every one hour.
4 0
3 years ago
Solve the equation. <br> 15x^2 – 28x + 5 = 0
stiv31 [10]

Answer:

Step 1: Factor left side of equation.

(5x−1)(3x−5)=0

Step 2: Set factors equal to 0.

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x=

1 /5

or x=

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8 0
3 years ago
Read 2 more answers
Suppose a triangle has two sides of length 3 and 4 and that the angle between these two sides is 60 degrees . What is the length
Darya [45]

Answer:

  √13 ≈ 3.6056

Step-by-step explanation:

The Law of Cosines can be used to figure this. If the third side is "c", then it tells you ...

  c² = a² + b² - 2ab·cos(C)

  c² = 3² + 4² -2(3)(4)(cos(60°)) = 9 + 16 - 24(1/2) = 13

  c = √13 ≈ 3.6056

The length of the third side is √13, about 3.6056.

5 0
3 years ago
Find all polar coordinates of point P where P = (9,pi divided by 5).
RSB [31]

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

7 0
3 years ago
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