Answer:
B. 39.27 in.³.
Step-by-step explanation:
✔️Volume of the taller cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 6 in.
Volume = π × 2.5² × 6
Volume of taller mug = 117.81 in.³
✔️Volume of the shorter cylindrical mug = πr²h
Where,
r = ½(5) = 2.5 in.
h = 4 in.
Volume = π × 2.5² × 4
Volume of taller mug = 78.54 in.³
✔️Thus:
117.81 in.³ - 78.54 in.³ = 39.27 in.³.
Therefore, the taller mug is 39.27 in.³ volume more than the shorter mug.
1. Divide both sides by 3
x - 2 > -1
2. Add 2 to both sides
x > -1 + 2
3. Simplify -1+2 to 1
x > 1
The answer is x > 1.
The GCF for 44, 77,210, and 126 is 1 . I know this because other than one they have none of the same factors that go into each of the numbers.
Hope this helps!! Please rate em the brainliest answer!!!
Answer:
9.54 cm
Step-by-step explanation:
In triangle ABD, AD is the hypotenuse (longest side)
We know that according to Pythagoras theorem,
a^2+b^2=c^2
In the figure, c (10cm) and a (5cm) is given. So,
(5)^2 + b^2 = 100
25+b^2 = 100
b^2 = 75
So b is √75 = 8.66
Therefore BD is 8.66 cm
Now even BDC is a triangle
In it, the hypotenuse is missing but we know the value of other sides
so, in Pythagorean theorem,
a=4 (CD)
b=8.66 (BD)
c=x
Therefore,
(4)^2 + (8.66)^2 = x^2
16+74.99= x^2
x^2 = 90.99
x= 9.54 cm
Hope this helps!