What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 5cm.

Answers

Answer 1

Answer: Surface area of a sphere can be calculated as:

Surface Area = 4πr²

r = 5cm
π = 3.14

Using the values we get:

Surface Area = 4(3.14)(5²) = 314 cm²

Thus, the surface area of the sphere is 314 cm²

Answer 2

Answer: Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r.
$4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314$
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!

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Divide 25kg in in a ratio of 2:3:5

So I need a little help here... I just learn this and I'm horrible at math :( Please state each steps clearly and explain them too (if you can, if not it's ok) Thanks!

Answers

$y = \sqrt{ (5x+3)/(x-5) }$
$y^(2) = (5x+3)/(x-5)$
Transpose the equation to eliminate any fractions:
$y^(2)(x-5) = 5x+3$
Expand the brackets:
$x y^(2) - 5 y^(2) = 5x+3$
Put x terms on one side and the others on the other side:
$xy^(2) - 5x = 5y^(2)+3$
Factorise to take x out of the terms:
$x(y^(2) - 5) = 5 y^(2) +3$
Transpose to leave only x on the left hand side of the equation:
∴ $x = (5 y^(2) + 3 )/( y^(2) -5 )$

A parallelogram has a base of 16 inches and a height of 11.7 inches. What is the area of the parallelogram?

Answers

Answer:

A = 187.2 inches²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = base × height

substitute base = 16 inches and height = 11.7 inches into the formula for A

A = 16 × 11.7 = 187.2 inches²

Why does the author of "The Think Tank" include Shumaker's admission that he did not think that Azy would be the fastest learner? A. to show that Shumaker used to dislike working with Azy B. to show that Azy only began to improve as a learner when Shumaker started to work with him C. to show that animals can even surprise experts with their capacity to learn D. to show that researchers must sometimes do work that they consider difficult

Answers

the answer is C. to show that animals can even surprise experts with their capacity to learn

How many solutions exist for the given equation?

1/2
(x + 12) = 4x – 1

Answers

There are two ways to look at this, one is by solving this and the other is by looking at the variable

First, if we want to solve it, we would take our equation, (i like decimals) .5(x+12)=4x-1 and distribute the .5 to both things in the parentheses. when we do that we get .5x+6=4x-1. now we get our variables to the same side by subtracting .5x from both sides. When we do this, we are left with 6=3.5x-1. next we add 1 to each side and get 7=3.5x. Now we divide each side by 3.5, and get x=2. Now we have to plug it into the original equation and get .5(2+12)=4(2)-1. when we simplify this we get .5(14)=7, which goes to 7=7. this is a true statement, so we know that x=2. since we only have one value for x, we know the answer is that only one solution exists.

Another way that is simpler, but not always accurate, is to look at the variable. There can only be as many solutions for x as the highest exponent x is to, in this case, x has no exponent so there can't be more than one solution, so we say that it has one solution. This way is a lot faster, but can be wrong if the equation has a false solution. This false solution happens when you solve the equation and get a value, but it doesn't work for the original equation.

The second way is a lot faster, but the first way will always give you the right answer

Answer:

One solution, option B for edge2020

Step-by-step explanation:

Solve the equation for x.
3(6x - 1) = 12

Answers

Answer:

soln

18x-3=12

18x=15

so,x=5/6

One question is all I need help on.

Answers

Hello,

y=x²+2x
y=3x+20

==>x²+2x=3x+20
==>x²+2x-3x-20=0
==>x²-x-20=0
==>x²-2*1/2*x+1/4-20-1/4=0
==>(x-1/2)²-81/4=0
==>(x-1/2-9/2)(x-1/2+9/2)=0
==>(x-5)(x+4)=0
==>(x=5 and y= 35 ) or (x=-4 and y=-8)

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