Answer:
Volume = 2,258.67 cm³
Step-by-step explanation:
Volume of the object = volume of hemisphere + volume of cylinder
= ⅔πr³ +πr²h
Where,
π = 22/7
r = 7 cm
h = 10 cm
Volume = (⅔*22/7*7³) + (22/7*7²*10)
Volume = 2,258.67 cm³
25% of 8 is 2.
25% is the same as 1/4.
1/4 x 8/1 = 8/4 = 2.
it's a 25% increase meaning 125% total. So 8+2, which equals 10.
Isocoleese means that 2 sides are the same legnth
that also means that 2 angles are the same legnth
so represent the angles as x,y,z
the vertex is the different angle
lets says that x=y because they are the 2 same angle and z=vertex
so just do
the angles measure x,x,z because x=y
so
base angle=x=y
remember that all 3 inside angles added together equals 180 so
x+y+z=180 or x+x+z=180
so we have
measure of each of the base angles of the isosolese triangle is 9 les than 4 times the vertex
that means that x is 9 less than 4 times z or x=-9+4z or x=4z-9
so we have the other equation
x+x+z=180
subsitute 4z-9 for x
4z-9+4z-9+z=180
group like terms
4z+4z+z-9-9=180
add like terms
9z-18=180
add 18 to both sides
9z=198
divide both sides by 9
z=22
subsitute
x=4z-9
x=4(22)-9
x=88-9
x=79
x=y=79
the angles are
base angles=79 degrees
vertex=22 degrees
x=79
y=79
z=22
Answer:
w=15
Step-by-step explanation:
2w-5=30
2×15-5=30
30-5=25
w=15
Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
More can be learned about a system of equations at brainly.com/question/24342899
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