Answer:
c = 49°
Step-by-step explanation:
Inside of the triangle angles:
- c–18°
- c–16°
- 180°-(c+15) → -c+165
these angles sum up to total 180° angle
-c+165+c-16°+c–18° = 180
c +131 = 180
c = 180° - 131°
c = 49°
Answer:
about 201 ft of fencing
Step-by-step explanation:
Including the path the radius would be 32 ft. and the diameter is 64 ft.
C = πd where C is the circumference and d is the diameter.
So, C ≅ 3.14(64) ≅ 201 ft.
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:
Surface area = 6 × a2
Right circular cylinder:
Surface area = 2 × pi × r2 + 2 × pi × r × h
pi = 3.14
h is the height
r is the radius
Rectangular prism:
Surface area = 2 × l × w + 2 × l × h + 2 × w × h
l is the length
w is the width
h is the height
Sphere:
Surface area = 4 × pi × r2
pi = 3.14
r is the radius
Right circular cone:
Surface area = pi × r2 + pi × r ×( √(h2 + r2))
pi = 3.14
r is the radius
h is the height
l is the slant height
Right square pyramid:
Surface area = s2 + 2 × s × l
s is the length of the base
h is the height
l is the slant height
Answer:
y=-4/9x+11/3
Step-by-step explanation:
Reminder: slope intercept form is y=mx+b where m= slope and b=y intercept
Two points are given; (6,1) and (-3,5)
First, find the slope
Reminder: slope is y2-y1/x2-x1
You can plug the numbers given into the equation to get 5-1/-3-6 which equals 4/-9
Now, we can use slope point form which is y-y1=m(x-x1)
Once again, plugging the numbers in (any one of the two points will work) will get
y-1=4/-9(x-6)
Simplifying it will get y=-4/9x+11/3.
Answer:
a=30 , b = 0
Step-by-step explanation:
let the two numbers be represented as a and b
a + b = 30... eqn 1
a - b = 30 ...... eqn 2
we then add the two equations to get values for a and b
a + b + a - b = 30 + 30
a + b + a -b = 60
2a = 60 ( diivide both sides by 2)
a = 30
we then put value for a = 30 into any of the equations to get b
a + b = 30, 30 + b= 30
b = 30 -30 , b = 0
to confirm if the answers are correct, we insert the values for a and b in the two equations.
a + b = 30..... eqn 1, 30 + 0 = 30
a - b = 30 ...... eqn 2 , 30 - 0 = 30
