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Afina-wow [57]
2 years ago
13

PLEASE HELP

Mathematics
1 answer:
mihalych1998 [28]2 years ago
8 0

Answer: The height is 4.472

Step-by-step explanation: That formula is Heron's formula.

Where "s" is calculated like this:

s = (a + b + c) / 2

In this case:

a = 14

b = 12

c = 6

replacing:

s = (14 + 12 + 6) / 2

s = 16

Now we calculate the area:

A ^ 2 = 16 * (16−14) * (16−12) * (16−6)

A ^ 2 = 1280

A = 35.777

The area of the triangle is:

A = b * h / 2

In this case we will take the base as the longest side of the triangle, that is to say = 14

Thus:

h = A * 2 / b

h = 35.777 * 2/16

h = 4.472

So the height is 4.472

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Solve: a+1/3+a-1/5=2/15
xeze [42]

Answer:

a=0

Step-by-step explanation:

<u>Step 1:</u>-

Given a+\frac{1}{3} + a - \frac{1}{5} = \frac{2}{15}

on simplification we get,finding l.c.m

2 a + \frac{5-3}{15} =\frac{2}{15}

2 a+\frac{2}{15} = \frac{2}{15}

subtracting \frac{2}{15} on both sides,and cancelled then we get

solution is

2 a=0

a=0

8 0
4 years ago
Find the missing side length simplify ur answer<br> (Explain ur work)
irina [24]

using the pythago theory:

c^2 = a^2 + b^2

=> 25^2 = 24^2 + b^2

=> b = √(25^2 - 24^2)

=> b = √(625 - 567) = √49 = 7

Answer: J) 7

8 0
3 years ago
A pole is held vertically by attaching wires at a height of 13.4 m above the ground. The other end of each wire is anchored in t
maks197457 [2]

Answer:

  • 16.45 m
  • 121.7°

Step-by-step explanation:

a) The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle from the the lengths of the legs:

  c² = a² + b²

  c = √(a² + b²) = √(13.4² +9.54²) ≈ 16.45 . . . meters

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b) Using an appropriate vector calculator, you can find the sum of the given forces to be ...

  100∠140° +200∠70° +160∠250° = 119.733∠121.704°

The forces have a resultant equivalent to a force at 121.7°.

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If you're calculating this by hand, you can add the components of the forces:

  a∠b = (a·cos(b), a·sin(b))

  100∠140° ≈ (-76.604, 64.279)

  200∠70° ≈ (68.404, 187.939)

  160∠250° ≈ (-54.723, -150.351)

(Values are shown rounded here. You never round intermediate calculations, but maintain full calculator precision until the final answer.) Then the sum of these forces is approximately ...

  resultant ≈ (-62.924, 101.866)

The (second quadrant) angle of this resultant is ...

  angle = arctan(101.866/-62.924) ≈ 121.7°

5 0
3 years ago
Please help me with the first half
Triss [41]

Answer:

a) 12:45 am

b) 7:30 pm

c) 20:15

d) 0:00

Step-by-step explanation:

a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.

The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.

So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."

b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."

But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:

19 - 12 = 7

So it's the 7th hour.

So it would be 7:30 pm.

c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.

8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).

12 + 8 = 20

This is our hours. We can attach it to the minutes: 20:15.

d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.

If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.

This means that no time has passed during Sunday yet—it just reset.

So it would be 0:00 because no time has passed officially on Sunday yet.

7 0
3 years ago
You have 2/3 of sugar how muck sugar will you use if you makes 6 batches of cookies
zalisa [80]

Answer:

4

Step-by-step explanation:

1 batch = 2/3

so 6 batches = 2/3 * 6

and 2/3 *6 = 4 !

4 0
3 years ago
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