80 plus 80 is equal to 160. It's like 8 plus 8 equals 16, just add a zero to the end to each numbers it's easier to think that way
Ab+ac=a(b+c)
a is common factor
factor
6ab=2*3*a*b
9bc=3*3*b*c
common factor is 3*b or 3b
3b(2a)+3b(3c)=3b(2a+3c)
Answer: 1/3x-5=2x
This would be the same as the word problem because it is one third times x minus five equals two x.
A) The answer is 24 m
x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
</span>
b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m
Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m
Thus the distance from the parking lot to get the refreshment stand is 40 m.
Answer:
Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,
So, the volume of the vessel is 
.
