Find the area of the triangle below.

Mathematics

1 answer:

myrzilka [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Since this is not a right angle, we can use the formula $Area= Sin(y) (\frac{1}{2}ab)$

a=7

b=10

y=35

So, when we plug these values in, we get:

$a=Sin(35)(\frac{(10)(7)}{2})\\\\=35sin(35)\\=20.075\\$

rounded to the nearest hundredth, I believe it's 20.

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the line whose equation is y=1/2x-3 is dilated by a factor of 3 with a center at the point (10,2). Explain why its equation woul

lana [24]

We have that

y=1/2x-3
1) the slope of this line equation is m=(1/2)
2) the coordinates of the y intercept are
for x=0
y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(1/2)x-3------> (1/2)x=3----> x=6
point (6,0)

if the line is dilated by a factor of 3
then
y=1/2x-3--------> 3y=3*[1/2x-3]-----> 3y=(3/2)x-9
3y=(3x-18)/2-------> y=(3x-18)/6--------> y=(3/6)x-18/6

y=(3/6)x-18/6
so
1) the slope of this line equation is m=(3/6)-----> 3/6=1/2
2) the coordinates of the y intercept are
for x=0
y=-18/6-------> y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(3/6)x-18/6------> (3/6)x=18/6----> x=18/3------> x=6
point (6,0)

therefore
the equation of the line
y=1/2x-3 is the same that the equation of the line y=(3/6)x-18/6

the equation does not change because the slope and the x and y intercepts do not change either

6 0

3 years ago

This triangle has one side that lies on an extended line segment.

monitta

Answer:

65°

Step-by-step explanation:

x = 180 - 44 - (180-109) = 109 - 44 = 65°