Answer:
Ishaan is 49 years old.
Step-by-step explanation:
Let the present age of Christopher be 'C'.
Let the present age of Ishaan be 'I'.
From the given data, we can form equations which will help us solve the problem.
Christopher is 20 years younger than Ishaan. This means:
C = I - 20 . . . (1)
Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.
From the data, I - 14 = 3(C - 14) . . . (2)
Substituting the value of C in Equation 2, we get:
I - 14 = 3(I - 20 - 14)
⇒ I - 14 = 3(I - 34)
⇒ I - 14 = 3I - 112
⇒ 2I = 112 + 14 = 98
⇒ I = 49
So, Ishaan is 49 years old.
The slope of the given line is -4/5. The line perpendicular to that line will have a slope that is the opposite reciprocal. In other words, the perpendicular slope will be 5/4. If it passes through (4, 12), we have an x and a y value to use in y=mx+b. y is 12, x is 4, and we have a slope of 5/4. Filling in accordingly:
and 12 = 5 + b. So b = 7. Rewriting with our new slope and b value,
. And there you go!
Answer: 24
Step-by-step explanation: 384 divided by 24 = 16. So 16 times 1 1/2 = 24
x+3-1.26923+4.12821 so if I am wrong it took me a while to work this out
The arc is defined by an angle of 1.05 radians, and a length of 1.05 units.
<h3 /><h3>How to get the angle in radians?</h3>
Remember the relation:
180° = 3.14 radians.
Then:
60° = (60°/180°)*3.14 rad = 1.05 rad.
Now, for a circle of radius R, an arc defined by an angle θ has a length:
L = θ*R
Then the length of this arc is:
L = 1.05*1 unit = 1.05 units.
If you want to learn more about arcs:
brainly.com/question/2005046
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