Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :
z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°
If its diameter is 443 square inches, then its circumference is:
443 π square inches, as C=πd.
Answer:
12(3y+2x)
Step-by-step explanation:
In this question, we are asked to give an expression that represents the total cost of shorts for the players.
He is ordering 2 pairs of short and 3 shirts. Hence, per player, he would be spending the following:
2 pairs of shorts at x dollars each. Cost here is just $2x
3 shirts at y per one. Cost is $3y
Per player he is spending a total of 3y + 2x
Now, there are people to cater for. The total amount to spend will now be 12(3y + 2z )
Answer:
1. -6t - 18
2. 21n - 14
3. -28 + 7t
4. 5m - 30
5. -48 + 8c
6. -15y -24
Step-by-step explanation:
Hope this helps!!!
Answer: 0.82 laps per minute
Step-by-step explanation:
Lin is running 21 laps in 25.6 minutes.
To find out her speed in laps per minute, divide the distance she has ran by the time it took her to run it.
= Distance / time
= 21 / 25.6
= 0.82 laps per minute