To answer this, let's first describe the two areas and obtain the pertinent dimensions from them.
The area of the square hole is 5 cm^2. Since A = s^2, where s is the length of a side of the square, s = +√5 in this situation. +√5 is approx. 2.24 cm.
The area of the round peg is 5 cm^2 also, but the area is calculated using a different formula: A = πr^2, where r is the radius of the circle. Solving for r^2, we get:
r^2 = A/π. Here, r^2 = (5 cm^2)/π = 5π, so that:
r = +√(5π). This is approx. 3.96 cm, and so the diameter is twice that, or 7.93 cm.
So there's plenty of room for the round peg to enter the square hole, but not the other way around!
Answer:
c. y = -4x
Step-by-step explanation:
use slope formula
Here, As the exponent and base both are different, we can't simply it by using any mathematical rule, so we have to convert them into decimal then comparing with options.
So, <span>5^3/4 + 2^11/12
= 3.34 - 1.88
= 1.46
Which is most precise to </span><span>2^7/12 </span><span>= 1.49
In short, Your Answer would be: Option D
Hope this helps!</span>
Whenever you are given a cubic equation, or any equation, you always have to arrange it in a standard form first. For example, if you are given something like this, 3x2 + x – 3 = 2/x, you will re-arrange into the standard form and write it like, 3x3 + x2 – 3x – 2 = 0. Then you can solve this by any suitable method.
