Answer:
The equation to find the total number of minutes (including rest) that Spencer should plan to be out biking is
.
Spencer should plan for 60 minutes to be out biking.
Step-by-step explanation:
Given:
Total calories need to burn = 450 calories
Calories burn per minute = 10
number of minutes he rest = 15
We need to find the total number of minutes (including rest) that Spencer should plan to be out biking.
Solution:
Let Total minutes of biking be 'm'.
So we can say that.
Calories burn per minute multiplied by the difference of total minutes and number of minutes he rest is equal to Total calories need to burn.
framing in equation form we get;

Hence the equation to find the total number of minutes (including rest) that Spencer should plan to be out biking is
.
On Solving the above equation we get;
First we will divide both side by 10 we get;

Now adding both side by 15 we get;

Hence Spencer should plan for 60 minutes to be out biking.
2x²-5x+8=0
use the quadratic formula, x=(5+√39i)/4 of x=(5-√39i)/4
looks like the second choice is correct.
Y= mx+b
Since this line is horizontal it's slope = 0 ==> the y=b
It passes by the point (3,-3) that means b=-3 & the equation is y=-3
Answer: 27.69⁰
Step-by-step explanation:
Formula for finding the internal angle of a regular polygon is
( 2n - 4 )right angle triangle or
( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,
( n - 2 )180 or supplementary
Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.
( n - 2 ) × 180° = 1980°
open the bracket
180n° - 360° = 1980°
180n° = 1980° + 360°
= 2340
To find n, divide by 180 which is the coefficient of n
n = ²³⁴⁰/₁₈₀
= 13
The polygon has 13, sides
To find the measure of each angle,
Recall, the sum total of external angle = 360⁰
Therefore, to find the value of each of the angles, we divide 360 by n which is 13
³⁶⁰/n
= ³⁶⁰/₁₃
= 27.69⁰
Answer:<em> 44 matches</em>
Step-by-step explanation:
<em>Let's take the given information</em>
<em>They won 37 matches</em>
<em>1/9th of their matches resulted in a draw</em>
<em>1/9 out of 90 is 9</em>
<em>You can take 90/9 and you will get 9</em>
<em>Now let us add 37+9 and you get 47</em>
<em>Now take 90-47</em>
<em>44 Matches lost</em>
<em>22/45 or 44/90</em>