It should be a 100 degree angle as well.
Answer: well, the answer can really be any two numbers, as long as y is one more than x. EXAMPLE: 16 = 15 + 1, 7 = 6 + 1, -54 = -55 + 1, etc
Answer:
The volume of the hemisphere is 496741.6 m³
Step-by-step explanation:
The volume of an sphere is given by:
In which 
and r is the radius.
An hemisphere is half of an sphere, so it's volume is half the sphere's volume. So
In this question:
. So
The volume of the hemisphere is 496741.6 m³
Answer:
3 pieces of strawberry cake
Step-by-step explanation:
Given data shows they took six pieces and then 9 more.
2/6 or 1/3 were strawberry cake.
1/3 of 9 = 3 pieces of strawberry cake
Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
