Answer:
≈ 11.78 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
( cancel 2π on numerator/ denominator )
= 15 × 
= 
≈ 11.78 in ( to 2 dec. places )
Answer:
Step-by-step explanation:
Graph 1:
A=(-9,5)
B=(7,4)
C=(-6,-3)
D=(0,-5)
E=(8,-8)
F=(0,7)
G=(0,-8)
H=(0,4)
I=(-3,-9)
J=(-4,2)
Graph 2:
K=(5,7)
L=(0,-9)
M=(1,3)
N=-7,-5)
O=(7,-1)
P=(0,-1)
Q=(2,-4)
R=(-9,6)
S=(-3,0)
T=(0,9)
Answer:
Step-by-step explanation:
1. here you go mate
step 1
6x - 12 < 6 equation
step 2
6x - 12 < 6 simplify
6x-12+12<6+12
step 3
6x<18 Divide both sides
answer
x<3
2. Here you go mate
step 1
2(3x-8) >8 equation
step 2
2(3x-8) >8 simplify
6x-16+16>8+16
step 3
6x>24 divide both sides
answer
x>4
Answer:
3812.5
Step-by-step explanation:
2500 x 3.5% = 87.5 x 15 = 1312.5 + 2500 = 3812.5
<span>C = 45 + 18 + 27 - 21 - 93
C = -24
Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C
C
"Cody made deposits of $45, $18, and $27 into his checking account."
C = 45 + 18 + 27
"He then wrote checks for $21 and $93."
C = 45 + 18 + 27 - 21 - 93
So the expression to represent the change to Cody's checking account is
C = 45 + 18 + 27 - 21 - 93
Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it.
C = 45 + 18 + 27 - 21 - 93
I'll add together all the deposits.
C = (45 + 18 + 27) - 21 - 93
C = 90 - 21 - 93
And I'll combine the checks.
C = 90 - 114
So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So
C = -24
And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.</span>
