Answer:
<h2>
31.7 cm^2</h2>
Solution,
In ∆ ABC
< A + <B + < C = 180°
or, 72 + 59 + <C = 180°
or, 131 + <C = 180°
or, <C = 180 - 131
< C = 49
Area of ∆ABC = 1/2 ab sin C
= 1/2 * 12 * 7 * sin 49
= 42 * sin 49
= 31.7 ( approximately)
Hope this helps...
Good luck on your assignment...
Answer:
Perfect!
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
Looks like you got both of those. Good job!
<1 + <2 = 90
<1 = 55
90-55=35
<2=35
<2+ <3= 180
180-35= 145
<3 = 145 degrees
You did awesome! Amazing job!
Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by
where x and y are modeled in inches.
Now,the given equation
is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation
, we get

In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
Answer:
(-4, -1/2)
Step-by-step explanation:
to calculate the midpoints bt of the line use the ormula:

Where (x1, x2) is one coordinate point and (y1, y2) is anither coordinate point. Any two points will work, but I chose A (-5,-4) and B (-3, 3).

(-4, -1/2)
Answer:
305
Step-by-step explanation:
We are adding 3 each time
5+3 = 8
8+3 = 11
The formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 5+3(n-1)
We want the 101 term
a101 = 5 +3(101-1)
= 5+3(100)
= 5+300
= 305