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3 years ago

Which set of numbers are possible side lengths for a right triangle?

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

Answer:

6 8 10

Step-by-step explanation:

This is a simple explanation from online but basically the ratio between the numbers can add up. Any multiple of 3,4,5 triangles work.

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Suppose a South Korean inspirational speaker speaks from a rectangular stage measuring 30 feet by 70 feet. Find the area of the

OleMash [197]

The area of a rectangle is calculated my multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 70 feet while the width (shorter side) is 30 feet. Hence the area is 2,100 ft2.

4 0

3 years ago

Write the expression as a square of a binomial: 49x^2+12xy+64y^2

DiKsa [7]

STEP
1
:
Equation at the end of step 1

((49 • (x2)) + 12xy) + 26y2
STEP
2
:

Equation at the end of step
2
:

(72x2 + 12xy) + 26y2
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 49x2 + 12xy + 64y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :
49x2 + 12xy + 64y2

5 0

3 years ago

The point (-7,4) is reflected over the line x=-3. Then the resulting point is reflected over the line y=x. Where is the point lo

Ne4ueva [31]

Answer:

(4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

(-3, 4) = (A +A')/2

2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

The reflection over the line y=x simply interchanges the two coordinate values:

A'' = (4, 1)

3 0

3 years ago

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

6 0

3 years ago

A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured

lilavasa [31]

By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm

5 0

3 years ago

Read 2 more answers