Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need

So the domain is R\{-2, 2}
d)
we need

So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
Answer:
5.8931
⋅
10^
−
4
Step-by-step explanation:
Expanded Form:
0.00058931
Answer:
A = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
A+B+C =180
2x-10 + 70 + x+30 = 180
Combine like terms
3x +90 = 180
Subtract 90 from each side
3x +90-90 = 180-90
3x= 90
Divide each side by 3
3x/3=90/3
x =30
We want to find A
A =2x-10
= 2*30 -10
=60-10
=50
If the room is (6/34)" by (4/12)" on the drawing, the bedroom is (12/19)' by (4/3)'
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.