Answer:
Ram: 21, Hari: 12
Step-by-step explanation:
To solve the problem, we can use the following notation. We call:
= Ram's age at present
= Hari's age at present
We know that:
- Ram is 9 years older than Hari --> mathematically, this can be written as
- Three years ago, Ram was two times as old as Hari was --> mathematically, this can be written as
where (r-3) is Ram's age 3 years ago, while (h-3) is Hari's age 3 years ago
Substituting eq.(1) into eq.(2), we find:
So, Hari's age is 12; therefore, Ram's age is
Answer:
What is (f–g)(x)?
f(x)=
–
2x2+10x
g(x)=11
–
3x2
12
Step-by-step explanation:
Answer:
All of the figures have 4 sides and 4 vertices
They have opposite sides parallel and congruent.
They have four right angles.
They also have perpendicular line segments.
Step-by-step explanation:
Hope this helps!!!
Answer:
65
Step-by-step explanation:
Use Law of Cosines g^2 = f^2 + h^2 -2fhCosG f^2 = g^2 + h^2 -2ghCosF h^2 = f^2 + g^2 -2fgCosH
f^2 = 28^2 + 15^2 -2*28*15Cos87 28^2 = 31^2 + 15^2 -2*31*15CosG
f^2 = 784 + 225 - 43.96 784 = 961+225 - 930CosG
f^2 = 965.0378 784 - 1186 = -930CosG
f = 31 -402 = -930CosG Divide by -930
.432258 = CosG
Cos^-1(.432258) = G
G = 64 degrees
Angle H = 180 - 64 - 87 = 29 degrees
Side f = 31 Angle F = 87 degrees
Side g = 28 Angle G = 64 degrees
Side h = 15 Angle H =29 degrees
