Definitely the correct answer is D. You need to expand the product 5(x-2), and then to group all x terms together and all constants together.
Although the square root of 2 times the square root of 14 does equal the square root of 28, it is not simplified to the fullest extent. To simplify separate the square root of 28 into two factors, but make sure one is a perfect square. We can separate into 4 and 7, and since the square root of 4 is 2, we are left with 2* the square root of 7
Answer:
Step-by-step explanation:
height = 14tan(24°)
area = 0.5(base)(height)
Find the angle that triples the height.
tanθ = 3×14tan(24°)
θ = arctan(3×14tan(24°)) ≅ 53.2°
Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
<h3>60 = 2*2*3*5</h3>
which is the same as saying
<h3>60 = 2^2*3*5</h3>
Answer:
area of circle=pi times radius^2
diameter/2=radius
area of rectangle=length times width
rectanlge-circle=scarf
rectanlge=28 by 15=28*15=420
circle, diameter is 15 so radius is 15/2=7.5
area=pi7.5^2=pi56.25=3.14*56.25=176.625
so
rectangle-circle=420-176.625=243.375 square inches
the area of the scarf is 243.375 square inches
Step-by-step explanation:
