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inn [45]
2 years ago
6

A shadow 16 meters long is cast by a utility pole that is 12 meters tall. What is the length of

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
6 0

Answer:

10

Step-by-step explanation:

You might be interested in
Isotope ⁷⁹br has an abundance of 50.69%
Simora [160]

Answer:

79.986

Step-by-step explanation:

Let A represent isotope ⁷⁹Br

Let B represent isotope ⁸¹Br

From the question given above, the following data were obtained:

For Isotope A (⁷⁹Br):

Mass of A = 79

Abundance of A (A%) = 50.69%

For isotope B (⁸¹Br):

Mass of B = 81

Abundance of B (B%) = 49.31%

Relative atomic mass of Br =?

The relative atomic mass (RAM) of Br can be obtained as follow:

RAM = [(Mass of A × A%) /100] + [(Mass of B × B%) /100]

= [(79 × 50.69) /100] + [(81 × 49.31) /100]

= 40.0451 + 39.9411

= 79.986 amu

Thus, the relative atomic mass of Br is 79.986

5 0
3 years ago
-5x - 4y + 2x + 7y = can someone help me with this please
wolverine [178]

Answer:

= -3 (x-y)

Step-by-step explanation:

-5x - 4y + 2x + 7y

Collect the like terms by calculating the sum or difference of their coefficients

(-5+2)x

-3x

(-4+7)y

3y

-3x + 3y

Factor out -3 from the expression

-3 (x-y)

4 0
3 years ago
Please help, I didn't learn this in class!
NemiM [27]
Solve the following system using elimination:
{-2 x + 2 y + 3 z = 0 | (equation 1)
{-2 x - y + z = -3 | (equation 2)
{2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x - 3 y - 2 z = -3 | (equation 2)
{2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+3 y + 2 z = 3 | (equation 2)
{2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+3 y + 2 z = 3 | (equation 2)
{0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+5 y + 6 z = 5 | (equation 2)
{0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+5 y + 6 z = 5 | (equation 2)
{0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+5 y + 6 z = 5 | (equation 2)
{0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+5 y + 6 z = 5 | (equation 2)
{0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+5 y+0 z = 5 | (equation 2)
{0 x+0 y+z = 0 | (equation 3)


Divide equation 2 by 5:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
{0 x+y+0 z = 1 | (equation 2)
{0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:
{-(2 x) + 0 y+3 z = -2 | (equation 1)
{0 x+y+0 z = 1 | (equation 2)
v0 x+0 y+z = 0 | (equation 3)


Subtract 3 × (equation 3) from equation 1:
{-(2 x)+0 y+0 z = -2 | (equation 1)
{0 x+y+0 z = 1 | (equation 2)
{0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:
{x+0 y+0 z = 1 | (equation 1)
{0 x+y+0 z = 1 | (equation 2)
{0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1, y = 1, z = 0

7 0
3 years ago
Will mark brainliest if answer is relevant and answers first
love history [14]

Step-by-step explanation:

The new price of the flash drive is not $10 because 20% of $10 is 2 and if 2 is marked down by 10% it would not be $10.

6 0
3 years ago
Please help me. I am having trouble
spin [16.1K]

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

5 0
2 years ago
Read 2 more answers
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