The volume of cone shaped popcorn cup is 75.36 cubic inches.
According to the given question.
The height of the popcorn cup = 8inches
And the diameter of the cup = 6 inches
⇒ Radius of the popcorn cup = 6/2 = 3 inches
As we know that, the volume of cone is calculated by the formula
volume of cone = (πr^2h)/3
Therefore, the volume of cone shaped popcorn cup
= 3.14((3)^2)(8)/3
= 3.14(3)(8)
= 75.36 cubic inches
Hence, the volume of cone shaped popcorn cup is 75.36 cubic inches.
Find out more information about volume of cone here:
brainly.com/question/23173618
#SPJ4
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m
The triangle on the left appears to be congruent with the triangle on the right. If this observation is actually valid, then x+7 = 2x-5. 12=x Yes, I realize that this doesn't match any of the answer choices, 'tho the 4th choice is the only one that contains "12." Would you please share the instructions for this problem.
Answer: 60%
Step-by-step explanation:
25=100%
50%=12.5
10%=2.5
12.5(50%) +2.5(10%)= 50%(15)
so the answer is 60%
Step-by-step explanation:
1) 2x+3y-3y=1-3y. -x+2y= -4
2x/2=1-3y/2. -(1-3y/2)=-4
x=1-3y/2. -1+3y/2= -4
x=1-3(-2)/2 3y/2= -4+1
x=1+6/2 3y/2×2/3= -3×2/3
x=7/2 y= -2
S.s{ 7/3,-2}
2). -4x-6y+6y=7-6y. 4x+y= -2
-4x/-4=7-6y/-4. 4(-7-6y/4)+y= -2
x= -7-6y/4. -7-6y+y = -2
x= -7-6/4 -5y/5= 5/5
x=-13/4 y= 1
S.s { -13/4, 1 }
