Answer:
502.4 in²
Step-by-step explanation:
Area of a sphere = 4 πr²
Plastic beach balls are spherical in shape.
Hence, the Area of a sphere = 4πr²
Where r = radius = 2 inches
π = 3.14
Hence, the area of one spherical ball =
4 × 3.14 × 2²
= 50.24 square Inches
For 1 spherical ball, 50.24 square inches of plastic is needed to make it.
How many square inches of plastic does the company need to make 10 beach balls?
Therefore,
1 spherical ball = 50.24 in²
10 spherical balls = x
Cross Multiply
x = 10 × 50.24 in²
x = 502.4 in²
Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.
Answer: Hi!
First, UxV = sin(a)*IUI*IVI
where a is the angle between U and V, in this case 45°.
First, the cross product of UxV points:
Here you can use the right hand method,
Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.
Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.
And the magnitude is 6*5*sin(45) = 21.213
For this case we must solve the following questions:
Question 1:
We should simplify the following expression:
Applying double C we have:
By definition of multiplication of powers of the same base we have to place the same base and add the exponents:
Canceling common terms:
Answer:
Option A
Question 2:
We should simplify the following expression:
So, we have:
Simplifying common terms:
Answer:
Option D
Question 3:
We factor the following expressions to rewrite the experience:
<em>
: </em>We look for two numbers that multiplied give 10 and added 7:
<em>
</em> We look for two numbers that multiplied give -50 and added -5:
<em>
</em>
Rewriting the given expression we have:
We simplify common terms in the numerator and denominator we have:
Answer:
Option D
