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diamong [38]
3 years ago
5

Find the area of this triangle. Round to

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

63.3 square feet

Step-by-step explanation:

Let a = 20 ft, B = 15 ft, c = 9ft

s=\frac{a+b+c}{2}

s=\frac{20+15+9}{2}

s=\frac{44}{2}

s=22\: ft

Area \: of \:\triangle  =  \sqrt{s(s - a)(s - b)(s - c)}  \\  \\  = \sqrt{22(22 - 20)(22 - 15)(22 - 9)}  \\  \\= \sqrt{22 \times 2 \times 7 \times 13}  \\  \\= \sqrt{44 \times 91}  \\  \\ =  \sqrt{4,004}  \\  \\  = 63.2771681 \\  \\   \approx 63.3 \:  {ft}^{2}

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Find the values of x,y,z. This diagram is not a scale.
Serjik [45]

Important:
                             The sum of the three angles inside
                              every triangle is always 180°.


First, look at the left triangle alone.
Two of its angles are 46° and 58° .  (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'. 
                                                         x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But  x = 76°.
So z = (180° - 76°).              z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°. 
(13° + 104°) = 117° . 
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
                                                 y = 63° .

3 0
3 years ago
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Michael, whose eyes are five feet off the ground, is standing 26 feet away from the base of a building, and he looks up at a 65°
yawa3891 [41]

Answer:

Dear user,

Answer to your query is provided below

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Step-by-step explanation:

Explanation is provided below in the image attached

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3 years ago
While at a picnic, 42 adults drank iced tea, 24 adults drank bottled water, and 36 adults drank lemonade. What's the ratio, as a
alexira [117]

42 drank iced tea

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So the ratio would be 42:60 or 7/10 as a fraction.

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4 years ago
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Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

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The values of x that make these factors zero are ...

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The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

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A graphing calculator verifies these solutions.

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Answer:

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Step-by-step explanation:

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