TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.
1/6(36 + 1/2) = 6 + 1/12 = 72/12 + 1/12 = 73/12
Answer:
The answer to your question is 0.057 ha
Step-by-step explanation:
Data
Kilocalories needed for a person per day = 2450
Kilocalories produced per hectare = 15737000
Process
1.- Calculate the number of kcal needed per a person for a year
2450 kcal ----------------- 1 day
x ----------------- 365 days
x = (365 x 2450) / 1
x = 894250 kcal
2.- Calculate the amount of land needed
15737000 kcal ------------- 1 ha
894250 kcal ------------ x
x = (894250 x 1) / 15737000
x = 0.057 ha
Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn
Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.