Answer:
Step-by-step explanation:
We are given that
Radius of sphere expanding at the rate=
Volume of sphere=
Surface area of sphere=
We have to determine the rate at which the volume is changing with respect to time at r= 2 cm.
Differentiate w.r.t time
Substitute the values then we get
Hence, the rate at which the volume of sphere is changing is given by
What’s the question ? & need additional information
3m+8-x=-24
3m=-24-8+x
3m=-32+x
m=(x-32)/3
3m+8-x=-24
3m+8+24=x
x=3m+32
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
-41\25
Answer:
m<1 = 26°
m<2 = 154°
m<3 = 26°
m<4 = 26°
m<5 = 154°
m<6 = 154°
m<7 = 26°
Step-by-step explanation:
What is required was not stated, however, let's find the value of every angle labelled in this diagram.
✔️m<1 = 180° - 154° (linear pair theorem)
m<1 = 26°
✔️m<2 = 154° (vertical angles theorem)
m<2 = 154°
✔️m<3 = m<1 (vertical angles theorem)
m<3 = 26° (substitution)
✔️m<4 = m<3 (alternate interior angles theorem)
m<4 = 26° (substitution)
✔️m<5 = m<2 (alternate interior angles theorem)
m<5 = 154° (substitution)
✔️m<6 = m<5 (vertical angles theorem)
m<6 = 154° (substitution)
✔️m<7 = m<4 (vertical angles theorem)
m<7 = 26° (substitution)
