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Hitman42 [59]
2 years ago
11

The ratio of the measures of the angles of a triangle is 7:5:8. What is the measure of the largest angle

Mathematics
1 answer:
kifflom [539]2 years ago
3 0

Answer:

72° is the largest angle, 63°, 45°

Step-by-step explanation:

7x + 5x + 8x = 180

20x = 180

20x/20 = 180/20

x = 9

I set the equation equal to 180 because there are 180 degrees in a triangle.

Now find the largest angle, which will be the 8x, since 8 is bigger than 5 and 7.

8x

8(9)

72° is the largest angle

If you need the other two angle measures:

7x

7(9)

63°

5x

5(9)

45°

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What is the equation of the parabola with focus (3, 0) and directrix x = –3?
nikitadnepr [17]

Answer:

x = \frac{1}{12} y²

Step-by-step explanation:

Any point (x, y ) on the parabola is equidistant from the focus and the directrix

Using the distance formula, then

\sqrt{(x-3)^2+(y-0)^2} = | x + 3 |

Squaring both sides

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3 years ago
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Shkiper50 [21]

Answer:

Option 4 (If it is fall, then the trees have no leaves).

Step-by-step explanation:

Conditional Statements are the statements which involve "if" and "then". It contains two sets of statements in it. The statement after the word "if" is the hypothesis, and the statement after the word "then" is the conclusion. Conditional statements are written in the form "If A, then B"; where A is the hypothesis, and B is the conclusion. The converse of a conditional statement is the opposite of the original statement: hypothesis and conclusion replace each other. So the converse of the above statement will be "If B, then A".

In this case, A=The trees have no leaves and B=It is fall. Therefore, the converse will be:

If it is fall, then the tress have no leaves. Option 4 is the right answer!!!

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3 years ago
The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
Lilit [14]

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

<u></u>

<u>Formulae</u>

  • Circumference of a circle = 2\pir
  • Area of a circle =  \pir²

      (where r is the radius of the circle)

<u>Find the radius</u>

circumference = 96 m

Using the circumference of a circle formula:

⇒  2\pir = 96

⇒  \pir = 96 ÷ 2 = 48

⇒  r = 48 ÷ \pi = 48/\pi

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radius r = 48/\pi

Using the area of a circle formula:

⇒  A = \pir²

⇒  A = \pi(48/\pi)²

⇒  A = 2304/\pi

⇒  A = 733.3859778...

⇒  A = 733 m² (to the nearest meter)

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