Given
∠ABC is an inscribed angle
Find out the m∠BDA and m∠BCA .
To proof
First find the value of the central angle ( intercepted arc measure BA)
∠BOA = 360° - 250°
= 110 °
Thus the intercepted arc AB is of measure 110°
FORMULA
thus putting the value in the above equation
we get
∠BDA = 55°
Now find out ∠BCA
In the quadilateral AOBC
As shown in the diagram AC & BD are tangent
thus
∠CAO = 90°
∠CBO = 90°
As we know the sum of a quadilateral is 360°.
thus
∠AOB + ∠CAO + ∠CBO +∠ BCA = 360°
Put the value as mentioned above
110° +90° + 90° +∠BCA = 360°
∠BCA = 360° - 290°
∠BCA = 70°
Hence proved
1. Y = 10x
2. Y = 100 + 30x
3. Y = 50 + 1x
5. Y = 15 + .12x
Answer:
The breakeven prices are d_1=4.225 and d_2=1.775.
Step-by-step explanation:
The break even point represents the point in which the profit is zero. In other words, where the revenue equals the cost.
We have functions that describe both the revenue and the cost. The brackeven price is such that R(d)=C(d):
Answer:
7a²/16
Step-by-step explanation:
Area of the triangle PTS
½ × a × a
a²/2
Length of PS:
sqrt(a² + a²)
asqrt(2)
Length of MS:
¼asqrt(2)
Triangles MCS and TPS are similar
With sides in the ratio:
¼asqrt(2) : a
sqrt(2)/4 : 1
Area of triangle SMC:
A/(a²/2) = [(sqrt(2)/4)]²
2A/a² = 1/8
A = a²/16
Area of PTMC
= a²/2 - a²/16
= 7a²/16
Step-by-step explanation:
