Answer:
1: r = 2.4 cm
2: V = 57.8765 cm^3
Step-by-step explanation:
1:
The volume of a sphere is given by V = (4/3) * pi * (r^3), being 'r' its radius.
So if the volume is 463.01 cm^3, we have that:
463.01 = (4/3) * pi * (r^3)
463.01 * 3 = 4 * 3.14 * r^3
r^3 = 463.01 * 3 / (4 * 3.14) = 110.59156
r = 4.8 cm
2:
The radius of the second sphere is 4.8/2 = 2.4 cm, so its volume is:
V = (4/3) * 3.14 * (2.4^3) = 57.8765 cm^3
We know that
if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V
Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³
therefore
for V=84 cm³
T=3150/84=37.5 °C
the answer is 37.5 °C
Answer:
first create a bracket:
then solve the first bracket:
then open the remaining bracket:
carryout the subtraction operation:
Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
Answer:
Δ MNO ≅ Δ RST
Step-by-step explanation:
In naming the congruent triangles follow the same order, that is
M is the vertex with 79° and R is the vertex with 79°
MN = 21 and RS = 21
These are the first 2 letter names of the triangles, that is MN and RS
O and T are the third, thus
Δ MNO ≅ Δ RST
