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lbvjy [14]
3 years ago
8

5-91. A triangle with two side lengths 12 and 24 and one angle of 30 degrees between the two side lengths.Find the area of the t

riangle at right. Show all work.
Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

  72 square units

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(12)(24)sin(30°) = 1/2(12)(24)(1/2) = 72 . . . square units

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Find the distance between the two points rounding to the nearest tenth (if necessary).
mote1985 [20]

<u>Understanding:</u>

This can be easily solved by using the distance formula which is

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\

d: distance

(x_{1},y_{1}): coordinates of the first point, in our case it is (1,-5)

(x_{2},y_{2}): coordinates of the second point, (4,-1)

<u>Solution:</u>

<u></u>d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\=  \sqrt{9+16} \\=\sqrt{25}\\= 5<u></u>

The distance between the two points is 5.

6 0
3 years ago
Yall gave me the wrong answer its 200
Dafna11 [192]
I don't think i understand...
7 0
4 years ago
WILL GET BRAINLEST AND TONS OF POINTS
Brut [27]

Answer:

Yamato's here!

Step-by-step explanation:

Oh well thank you! Have a nice and great holiday!!

(^ - ^ /)Xoxo, Yamato-

3 0
3 years ago
20 POINTS
Andreyy89

Answer:

The number that belongs in the green P' = ([?], [ ]) with P' = (7, -8) box is;

7

Step-by-step explanation:

The coordinate of the given point 'P' is P = (3, -5)

The preimage of (x, y) after the translation, T_{(x, \ y)} = (x-coordinate + 4, y-coordinate - 3)

Therefore, the translation, T_{(x, \ y)} = T₍₄, ₋₃₎

Therefore, we have;

Preimage P(3, -5) under the translation T₍₄, ₋₃₎ gives the image P' as follows

P(3, -5) \overset{T_{\left ( 4, \, -3 \right )}}{\rightarrow}P'(3 + 4, -5 - 3) = P'(7, -8)

Therefore, the number that belongs in the green box is the x-coordinate value of the point P'(7, -8) which is seven.

7 0
3 years ago
Which of the following expressions are equivalent to -4+(4+5)
Ber [7]

Answer:

Which of the following expressions are equivalent to -4+(4+5)

= 5

Step-by-step explanation:

-4 + (4 + 5)

= -4 + 4 + 5

= 5

8 0
3 years ago
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