Help with math please? (View image then tell me answer and tell me how you got it from step-by-step)

Answers

Answer 1

Answer: oh I remember these... just a lot of tedious work:/
but we are going to break the problem down by finding the volume of the half sphere and then the cylinder. After finding the measurements for both we just add them all together:)
first lets get the cylinder done
the formula for the can issss
$\pi r^(2) h$
so given that we know thatt
$\pi = 3.14$
r = 10
h = 16
so lets plug in our values
3.14 x 10² x 16
since they are all right by each other in the formula example we know that you multiply them. So lets solve that
3.14 x 10² x 16 = 5,024
So that means that the area of our cylinder is 5,024units³
Now before u go anywhere we still need to figure out the volume for the top:)
so the formula for our half sphere is
4/3 $\pi r$ ³
so lets find our value first
we know that 4/3 is just 4/3 soooo
4/3 = 4/3
$\pi = 3.14$
r = 10
so lets plug in our values
4/3 x 3.14 x 10³
now we just solve and 10³ = 1,000
4/3 x 3.14 x 1,000 = 4,186.66667units³
But since we are finding half of a sphere we are going to take that amount and divide it by two.
4,186.66667 ÷ 2 = 2,093.33334
So now we just add together our cylinder volume and half sphere
half sphere = 2,093.33334units³
cylinder = 5,024units³
2,093.33334 + 5,024 = 7,117.33334
soo the volume of our shape is 7,117.33334 or rounded out we could just say 7,117
answer = 7,117units³
hope this was helpful
and don't forget to
MARK ME BRIANLIEST! :D

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Graph the function. G(x)=2(x+2)(x+6)

Answers

Answer:

Step-by-step explanation:

Distribute 2(x+2):

2(x) + 2(2) = 2x + 2

Use the FOIL method to multiply (2x + 2)(x+6)

(2x + 2)(x+6)

2x(x) = 2 $2x^(2)$

2x(6) = 12x

2(x) = 2x

2(6) = 12

2 $2x^(2)$ + 12x + 2x + 12 = 2 $2x^(2)$ + 14x + 12

Graph the following equation on a graphing calculator, and then you should know how to graph it on paper.

Is 18× $(4)/(5)$ greater than, less than, or equal to 18? Explain.

Answers

fraction means a part of something

we see
18 times a fraction is bigger or smaller or equal to 18

18 times a fraction means take a part ouf of 18
in this case
18 times 4/5=72/5=14.4
14.4 is less than 18
when you take a fraction of something, it becomes smaller, like if you take a slice of pizza or a fraction of the pizza, it becomes smaller

lesss

Find the lateral surface area and the total surface area for the pyramid .

Answers

Answer:

Lateral Surface Area: 56 in²

Total Surface Area: 81 in²

Step-by-step explanation:

To find the lateral surface area, all we need to do is find the surface area for one of the lateral faces and then multiply it by 4.

$(1)/(2) *b*h$

$(1)/(2) *5*5.6=2.5*5.6=14$

Now the area of all the lateral faces:

14*4=56

The total surface area is the lateral area plus the base.

56+(5*5)=56+25=81

What is 16 8ths in simplest form

Answers

16/8=2/1=2

so just factor out the ones so for example

4/8=1/2 because 1/2 times 4/4=4/8 and 1/2 times 4/4=1/2 times 1=1/2

so 16/8=
factor
16=2 times 2 times 2 times 2
8= 2 times 2 times 2
16/8=2/1 times 2/2 times 2/2 times 2/2=2/1 times 1 times 1 times 1=2/1=2

16/8 in simplest form is 2/1 or 2 because you have to divide it by 8/8 or divide 16 and 8 by 8

How do you solve for x in x^2+5x=36

Answers

First we want to set the equation equal to zero by subtracting 36 from each side...

x^2 + 5x -36 = 0

Now we factor

(x + 9)(x - 4) = 0

Now set each expression equal to zero and solve...

x + 9 = 0 x - 4 = 0
x = -9 x = 4

Your solution set is

(-9, 4)

Answer: (-9,4)

Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.

Next, we factor the left side of the equation

as the product of two binomials.

Since the factors of -36 that add to +5 are +9 and -4,

we have (x + 9)(x - 4) = 0.

This means that either x + 9 = 0 or x - 4 = 0.

Solving each equation from here,

we have x = -9 or x = +4.

So your solution set is (-9,4).

At present Asha's age (in years) is two more than the square of her daughter Nisha's age (in years). When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present age of Asha and Nisha

Answers

Answer:

Asha's present age is 27 years and Nisha's present age is 5 years.

Step-by-step explanation:

Let the present age of Nisha be $x$ years.

As per question, Asha's present age is 2 more than the square of Nisha's age.

$\therefore$ Asha's present age = $x^2+2$

Now, Nisha will reach her mother's age after $x^2+2-x$ years.

Therefore, age of Asha after $x^2+2-x$ years will be = $x^2+2+x^2+2-x=2x^2-x+4$

Now, as per question,

$2x^2-x+4=10x-1\n2x^2-x-10x+4+1=0\n2x^2-11x+5=0\n2x^2-x-10x+5=0\nx(2x-1)-5(2x-1)=0\n(2x-1)(x-5)=0\nx=(1)/(2)\ or\ x=5$

As age can't be in fraction, we consider the present age of Nisha as 5 years. So, Asha's present age is $x^2+2=5^2+2=25+2=27$ years.

Therefore, Asha's present age is 27 years and Nisha's present age is 5 years.

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