Let time is t
since they both went in opposite directions then the distance between them is the sum of the distance between each of them and the origin point
49t + 56t =420 is the equation
to solve: 105t = 420 , t = 4 hours
Answer:
126.68
Step-by-step explanation:
<em>Area</em><em> </em><em>of</em><em> </em><em>circle</em><em> </em><em>=</em><em> </em><em>3.141593</em><em> </em><em>*</em><em> </em><em>r²</em>
<em>=</em><em> </em><em>3.141593</em><em> </em><em>*</em><em> </em><em>6.35²</em>
<em>=</em><em> </em><em><u>126.68</u></em>
Rita received 24 phone calls on the first evening, and 19 phone calls on the second evening and 48 phone calls on the third evening at the call center.
Step-by-step explanation:
As per given details,
Rita received a total of 91 phone calls at the call center over the last three evenings.
Let us assume the number of phone calls Rita received in the first evening is X.
The second evening Rita received 5 fewer calls than the first evening
=>X-5
The third evening Rita received 2 times as any calls as the first evening
=>2X
Now as given sum of total number of calls received in the three evenings is
X + X-5 + 2X = 91
4X - 5 = 91
4X = 96
X =24.
Therefore total calls received on first evening is X = 24
On the second evening X-5 = 24-5 = 19
On the third evening 2X = 48.
The answer is -16 + 19w
First distribute -8, then collect like terms and simplify.
-16 + 24w - 5w
=-16 + 19w
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.

Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3~Hope I helped!~