Check the picture below.
notice that the point A is the center of the circle, and thus the ∡BAF is a central angle, and the arc BF gets its angle measurement from ∡BAF, in red.
now, notice, ∡BAF has a twin
vertical angle, namely ∡CAE in green, and the arc made by ∡CAE is congruent to BF.
Answer:
Idk
Step-by-step explanation:
just here for the points
Answer: See explanation
Step-by-step explanation:
Let the price of apples be represented by a
Let the price of guyabanos be represented by g.
Since Marcel buys 5-star apples for PhP5.00 each and 3 guyabanos for PhP32.50 each. This will be:
C = 5a + 3g
where
a = PhP5.00
g = PhP32.50
c = Total cost
Therefore, an expression for the total cost of the fruits she buys will be:
C = 5a + 3g
C = 5(5.00) + 3(32.50)
The equation for the amount of change the cashier should give her if she gives the cashier PhP200.00 will be:
= 200.00 - 5(5.00) + 3(32.50)
= 200.00 - (25.00 + 97.50)
= 200.00 - 122.50
= Php77.50
Answer:
60
Step-by-step explanation:
half of 30 is 15
and 15 is 1 quarter of 60
We are given the equations:
<span>5 x + 11 y = 49 -->
eqtn 1</span>
<span>u = 3 x^2 + 6 y^2 -->
eqtn 2</span>
Rewrite eqtn 1 explicit to y:
11 y = 49 – 5 x
<span>y = (49 – 5x) / 11 -->
eqtn 3</span>
Substitute eqtn 3 to eqtn 2:
u = 3 x^2 + 6 [(49 – 5x) / 11]^2
u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]
u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121
u = 4.24 x^2 – 24.3 x + 119.06
Derive then set du/dx = 0 to get the maxima:
du/dx = 8.48 x – 24.3 = 0
solving for x:
8.48 x = 24.3
x = 2.87
so y is:
y = (49 – 5x) / 11 = (49 – 5*2.87) / 11
y = 3.15
Answer:
<span>George will choose some of each commodity but more y than
x.</span>