In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
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Answer:
A. {3,4}
Step-by-step explanation:
In order to find the x values which would make the entire function undefined, you would have to factor the bottom equation. Factoring x^2+7x+12 gives you (x+3)(x+4). If you set each of these equal to 0, you end up with the x values being 3 and 4.
5280/25, ignoring the remainder, equals 211. That's the answer
Answer:costC(p)= 1400+20p
R(p)= 4p^2+200p
Profit= 4p^2+ 180p-1400
Step-by-step explanation:
q=4p+200
Student council charge $400 per week.
Revenue= price × quantity.
Relationship between revenue and profit= Revenue-total cost.
Total cost= cost of facilities +(cost of one shirt)× number of T-shirts sold per week.
C(p)= 400 + 5(q)
Put q=4p+200
C(p)= 400 + 5 (4p +200)
C(p)= 400+ 20p + 1000
C(p)= 1400+ 20p
Relationship between revenue and price=Revenue= price × quantity
R(p)= p×q
Put q=4p +200
R(p)= p ×(4p +200)
R(p)= 4p^2+ 200p
Profit= Revenue - total cos
Profit=R(p) -C(p)
Profit= (4p^2 + 200p) - ( 20p +1400)
Profit= 4p^2 + 180p -1400
