Find common denominator first.
Looks like 24. So 3/24 + 12/24 + 4/24 = 19/24 spent.
So the remainder would be 5/24.
80km/h because km is more than miles
Answer: <u>38.4845100065m²</u>
<em>when rounded to the nearest tenth: </em><u>38.5m²</u>
<em>when rounded to the nearest hundredth: </em><u>38.48m²</u>
<em>when rounded to the nearest thousandth: </em><u>38.485m²</u>
Step-by-step explanation:
the formula for finding the area of a circle is , where A = area and r = the radius of the circle.
since you're only given the circumference, we need to calculate the radius of the circle before we can find the area.
- to find the radius of a circle, you can either <u>divide the measure of the diameter by 2</u> <em>OR</em> <u>use the formula</u> where r = radius and C = circumference.
- because there is no given diameter measurement in your question, <u>the best way to find the radius is to use the formula</u> .
first, plug the given values into the equation.
since is the given circumference, plug in for .
- ⇒
- the equation becomes , aka <em>radius equals seven times pi divided by two times pi</em>.
now divide .
now we know that the radius of the circle is 3.5 :) since we have this information, we can now solve for the area of the circle using the formula .
first, plug in for .
- ⇒
now multiply , aka <em>pi times three and five tenths squared</em>.
- <em>(if needed, you can round this result to the nearest tenth, hundredth, etc.)</em>
<em />
the area of the circle is 38.4845100065m². i hope this helps! have an amazing day <3
<em />
Answer:
x = 5/2
or
x = -2
Step-by-step explanation:
recall that the roots of a function f(x) are basically the values of x that will make f(x) = 0,
we find these values of x by making f(x) = 0 and then solving the equation for x,
in our case,
f(x) = -3(2x – 5)(x + 2)
to find roots,
f(x) = 0
-3(2x – 5)(x + 2) = 0
Equating each factor = 0, the equation can be broken down into:
-3 = 0 (obviously not valid, hence we can ignore this)
or
(2x – 5) = 0 add 5 to both sides
2x = 5 divide both sides by 2
x = 5/2 ( Answer)
or
(x + 2) = 0 subtract 2 from both sides
x = -2 (Answer)
The volume of the sphere would be 149.42m³