Answer:
3
Step-by-step explanation:
You know that angle Y is a right angle because XY is the radius and YZ is a tangent to the circle. So, you can use the pythagorean theorem to find the third side:
XY^2+4^2=5^2
XY^2+16=25
XY^2=9
XY=3
Hope this was helpful! :)
Answer:
12.5 inches
Step-by-step explanation:
2 / 4 = 0.5
0.5 in = 10ft
0.5 x 25 = 12.5
The value of x is 103.
The value of x is 59.
The value of x is 134.
The value of x is 12
The value of x is 50
The value of x is 135
<h3>
What is the value of x?</h3>
The sum of angles on a straight line add up to 180 degrees.
180 - 77 = 103
180 - 121 = 59
180 - 46 = 134
12 x + 36 = 180
12x = 180 - 36
12x = 144
x = 12
24 + 3x + 6 = 180
3x = 180 - 24 - 6
3x = 150
x - 50
+ 99 + 36 = 180
= 180 - 36 - 99
= 45
x = 45 x 3
x = 135
To learn more about supplement angles, please check: brainly.com/question/2766460
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Answer:
4588 [in²].
Step-by-step explanation:
1) the given octagon can be imagined as 8 triangles (see the attachment). In order to calculate the required area of the octagon, it is enough to calculate the area of one triangle then increase it 8 times:
2) area of one triangle is:
37*31/2 [in²].
3) the required area of the octagon is:
31*37*8/2=31*37*4=4588 [in²].
We know that
<span>Vertex (0, 0) and directrix y = 4
is a vertical parabola------> open down (directrix above the vertex)
the equation is of the form
(y-k)=4p(x-h)</span>²--------> y=4p*x²-------> vertex (0,0)
y=4
y=h-p-----> y=-p
p=-4
the equation of the parabola is
y=-16x²
the answer isy=-16x²
see the attached figure