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LiRa [457]
3 years ago
10

Find the area of ΔABC.

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

Step-by-step explanation:

You know two sides of the triangle and the angle between them, so use the Law of Cosines to solve the triangle.

a² = √(b²+c² - 2bc·cosA)

= √(9²+7.8² -  2·9·7.8·cos(32°)

≅ 4.8

Then use Heron's formula to calculate the area.

semiperimeter s = 0.5×(a+b+c) ≅ 10.8

area = √(s-(s-a)(s-b)(s-c)) ≅ 18.6 square units

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identify an equation in the point-slope form for the line parallel to y=1/2 x -7 that passes through (-3,-2)
Mariulka [41]

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -3      y_1= -2         m= 1/2(parallel means same slope)

an equation in the point-slope form is : y +2 = 1/2(x+3)

3 0
3 years ago
Lisa studies 5 hours for a particular test and gets a score of 77. At this rate, how many hours would she have to study to get a
Murljashka [212]
77/5=99/x
77x=5*99
77x=495
x=495/77
x=6.4
she needs to study 6.4 hrs to get 99
4 0
4 years ago
2g + h =2<br>g -h= -5<br><br>find g and h step by step explanation​
wel

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

   g = -5 + h

Plugin g = -5 + h in equation (I)

  2(-5 + h) + h = 2              {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h  + h    = 2

             3h = 2 + 10

       3h = 12

         h = 12/3

h = 4

Substitute h= 6 in equation (I)  

2g + 4 = 2

    2g = 2 - 4

    2g = -2

      g = -2/2

g = -1

6 0
3 years ago
List the angles of triangle ABC in order from smallest to largest measure if AB = 9, AC = 11, and BC = 10.
galben [10]
Across smallest side- smallest angle.
across largest side- largest angle
largest side is AC, so largest angle is B
smallest side is AB, so smallest angle is C
angles from smallest to largest : C, A, B
4 0
3 years ago
What is the scale factor of the dilation?
VLD [36.1K]
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}
6 0
3 years ago
Read 2 more answers
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