Answer:
<h2>231in^3</h2>
Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4
/3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4
/3π(3.8)^3
V=4
/3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
Answer:
0, -2
Step-by-step explanation:
.................:)
Answer:
y = 2x + 2
Step-by-step explanation:
Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12. Thus, the slope is
m = rise / run = 12/6 = 2.
From the graph we can see that the y-intercept is (0,2). Thus, the slope-intercept equation of this line is:
y = 2x + 2
Answer:
.
Step-by-step explanation:
