Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
r= 2.048in
round off to 2.05in
<u>PROOF</u>
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= <u>2.05 inches</u>
Answer:
1.6 yard of ribbon for each costume.
Step-by-step explanation:
Answer:
A. x < -3 or x > -3
Step-by-step explanation:
Let's start with the equation -4x + 60 < 72.
-4x + 60 < 72
First using the order of operations, subtract 60 from both sides.
-4x + 60 - 60 < 72 - 60
- 4x < 12
Next we want to divide -4 from both sides to isolate the variable.
-4x/-4 < 12/-4
x > -3
When you divide a negative number, always make sure the change the sign.
Solve the next equation, 14x + 11 < -31, the same way we solved the last.
14x + 11 < -31
Subtract 11 from both sides.
14x + 11 - 11 < -31 -11
14x < -42
Divide 14 from both sides.
14x/14 < -42/14
x < -3
The equations have different signs.
A. x < -3 or x > -3
-- A negative exponent means the number is in the denominator.
b⁻³ means 1/b³ .
So 1/b³ = 1/216 . You can do it now.
-- If that number is " 10³ ", it means 1,000 .
If that number is " 103 " and you can't remember
how to do multiplication with a pencil, then you'll
have to use your calculator.
-- Again ... 10⁻³ means 1/10³ or 1/1000 .
So the problem is really 36 divided by 1/1000 .
Be very careful. That means 36 x 1000 .
-- To multiply powers that have the same base,
you add the exponents.
Example: 10⁴ times 10⁵ = 10⁹ .
This question can be rearranged as (2.1 x 4) x (10³ x 10⁻⁷)
(10³) times (10⁻⁷) is 10⁻⁴ .
Answer:
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Step-by-step explanation: