Answer:
1 pi: 3pi
Step-by-step explanation:
Step 1: Formula of surface area and volume of sphere
Surface area of sphere = 4 x pi x r^2
Volume of sphere = <u>4</u> x pi x r^3
3
Step 2: Apply values in the formula
r = radius
radius = diameter/2
r=18/2 = 9
S.A = 4 x pi x 9^2
S.A = 324pi
Volume = <u>4</u> x pi x 9^3
3
Volume = 972pi
Step 3 : Show in ratio
Surface area : Volume
324pi : 972pi
= 1 pi: 3pi
For the first part remember that an equilateral triangle is a triangle in which all three sides are equal & all three internal angles are each 60°. <span>So x-coordinate of R is in the middle of ST = (1/2)(2h-0) = h
And for the second </span><span> since this is an equilateral triangle the x coordinate of point R is equal to the coordinate of the midpoint of ST, which you figured out in the previous answer. Hope this works for you</span>
Answer:
The book has total of 210 pages.
Chris needs to read 63 pages.
Step-by-step explanation:
Answer attached...
Hope it helps :)
Answer:
31
Step-by-step explanation:
Plug in 3 for x in the expression:
4(3²) - 5
Note that there are no parenthesis (other than the one I added, to make it easier for you. Follow the order of operations, PEMDAS. PEMDAS = Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction, and the left -> right rule.
First, solve the exponent:
4(3²) - 5 = 4(3 * 3) - 5 = 4(9) - 5
Next, solve the multiplication:
4(9) - 5 = 36 - 5
Finally, subtract:
36 - 5 = 31
31 is your answer.
~
Answer:
42x-24y-5
Step-by-step explanation:
We can start by using the distributive property.
This will help us rewrite the expression, since the terms in the parentheses can't be combined.
I'll attach an image to better explain this.
When using it, we'll get:
6*7x+6*-4y-5
Simplify.
42x-24y-5
This is our final answer since there are no like terms that can be combined.