9514 1404 393

**Answer:**

- Ram -- ₹1200
- Kalpana -- ₹800

**Step-by-step explanation:**

Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.

**Ram** receives 0.6 × ₹2000 **= ₹1200**

**Kalpana** receives 0.4 × ₹2000 =** ₹800**

ANSWER

D.

EXPLANATION

The given function is

Comparing to the general form of a trigonometric sine function,

The amplitude is absolute value of A

The period is given by

is a shift to the right of 4 units.

and

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

Answer:

B) 12.6π ; 39.6

Step-by-step explanation:

Circumference:

C = 2πr

C = 2(3.14)(6.3)

C = 6.28(6.3)

C = 39.6

C = 2πr

C = 2π6.3

C = 12.6π

Let's start with a picture.

We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.

If we look at the difference of points (technically called vectors but we don't have to go there) we get

C-B=(-2,2)

T-S=(1,-1)

Without further calculation we can see T-S is half the length of C-B.

The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.

After dilation we get A'B'C':

A'(3,2), B'(-1,0), C'(-2,1)

We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.

Answer:** k=1/2, y=x**

Answer: dividing

Step-by-step explanation: