We are given 2 points with there coordinates easy to calculate:
the upper one A(1,15) & the lower one B(6,10). Moreover the equation of this linear function is y = mx + b
1st) calculate m= (10-15) / (6-1) [FOMULA m=(y₂ - y₁) / (x₂ - x₁)]
m= -5/5 ==> m= - 1==> y=-x + b. To calculate b, replace x & y by any of the 2 points A, B. Say A(1,15)
15 = - (1) + b ==> b= 16 & final equation y = -x +16
Answer:
m2 is 50 degrees
Step-by-step explanation:
It alternates with the 50 on the opposite direction so, they are equal
The slope perpendicular to an undefined slope is: 0
Example:
x = 5 is a vertical line and has an undefined slope.
The line perpendicular to it is y = <em>any value</em> which has a slope of 0.
I hope this makes sense. If not, please post the homework question so we can help you find the circumcenter.
Given:
Volume of toy=231 cm³
Diameter of a hemisphere= 7 cm
cone and hemisphere have equal radius.
radius of hemisphere = radius of cone = 3.5 cm
Height of hemisphere= radius of hemisphere= 3.5 cm
Let H be the height of toy
H= height of cone+ height of hemisphere
H = h + r , ( h = height of cone)
H = h + 3.5
volume of toy = volume of cone + volume of hemisphere
Volume of toy= 1/3πr²h + 2/3πr³
Volume of toy=πr²/3(h+2r)
231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)
231×3 =( 22×3.5×3.5)/7 (h+7)
h+7 = (231×3×7)/(3.5×3.5×22)
h+7 = (3×3)/(.5×.5×2)
h+7= 900 /50= 90/5= 18
h+7= 18
h=18-7
h= 11 cm
Height of toy = h+r
Height of toy = 11+3.5= 14.5
Height of toy =14.5 cm
Hence, the height of the toy = 13.5 cm
