Answer:
23.7°
9.1~ft
Step-by-step explanation:
Formula for the area of a sector of central angle n (in degrees) and radius r:
We have:
A = 100 ft^2
r = 22 ft
We need to find:
r
The central angle measures 23.7°.
Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:
We have:
n = 23.7°
r = 22 ft
We need to find:
s
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
Answer:
burrito price=$8
Taco Price=$6
Step-by-step explanation:
x=burrito price
y=taco price
3x+4y=48
solve for y
y=
−3
/4
x+12
plug in
6x+2y=60
6x+2(
−3
/4
x+12)=60
6x+2(
−3
/4
x+12)=60
x=8
now plug in for x
3x+4y=48
3(8)+4y=48
y=6
y=6
x=8
burrito price=$8
Taco Price=$6
Answer:
(-8,-3)
(-4,-1)
(0,1)
(2,2)
(6,4)
Step-by-step explanation:
One by one, substitue the x values and solve for y
Use point slope formula y-y1=m(x-x1)
You are told that y=-x+3. This equation is of the form y=mx+b. Where m=-1. m is the slope. And you have a point (x1,y1) that is (3,-2). With all of this in mind, you then plug all of these details into the point slope formula y-y1=m(x-x1)
In point slope form, you have the following:
y-(-2)=-1(x-3).
To turn this into slope intercept form, simplify y-(-2) to get y+2 and distribute in the -1 to get:
y+2=-x+3
Subtract 2 from both sides to get
y=-x+1
In slope intercept form, the answer is
y=-x+1 and in point slope form, the answer is y+2=-x+3
Hope this helps!!!
