Is a decorative block , made up of two solids -a cube and a hemisphere. The base of the block is a cube of side 6cm and the hemisphere fixed on the top has a diameter of 4cm. Find the total surface area of the block(use ⫪ = 3.14) *

Answers

Answer 1

Answer:

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².


Related Questions

What is the reference angle for 7pi/6?
A. pi/6

B. pi/4

C. pi/3

D. 5pi/6

E. pi

Answers

Answer:

pi/6

got it right on plato

The sum of 3 consecutive even
numbers is 78.
Write the variable representation for each of
the three numbers in this sequence.

Answers

Answer:

The variable representation is x, x+2 and x+4 for this sequence.

Step-by-step explanation:

Given that:

The sum of 3 consecutive even numbers is 78.

Let,

The first even number is represented by x.

As the numbers are consecutive, thus,

First even number = x

Second even number = x+2

Third even number = x+4

Hence,

The variable representation is x, x+2 and x+4 for this sequence.

Write an equation of the line with the given slope that contains the given point.

a) Q(5,2), slope -2​

Answers

Answer:

[tex]y=-2x+12[/tex]

Step-by-step explanation:

We can use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

[tex]y-(2)=-2(x-(5))[/tex]

Simplify:

[tex]y-2=-2(x-5)[/tex]

Distribute:

[tex]y-2=-2x+10[/tex]

Add 2 to both sides. Hence, our equation is:

[tex]y=-2x+12[/tex]

Drac
write vowels along
the horizontal line and
number
of
times a vowel scoundring
along
the vertical axit​

Answers

i o u a e
...................
...............
............
........
......
...
..
.

Answer:

I o u a e

Step-by-step explanation:

these are the vowels

Figure this out for brainlest thanked daily and 5 stars
Good luck :))

Answers

Answer:70 minutes

Step-by-step explanation:this is because since 1 min =6 cartons .And u are figuring out for 420 cartons ,you think what is 420 divide 6 which is 70 .So it means 70.

1 min = 6 cartons

x min = 420 cartons

do 420 times 1 it gives u 420 then divide by 6.

A submarine changed its depth by -24 feet each minute for six minutes.



What was the total change in depth at the end of the 6 minutes?

Answers

Answer:-144

Step-by-step explanation:

write the tangent ratios for angle p and angle q, reduce if needed

Answers

Answer:

tanP = [tex]\frac{20}{21}[/tex] , tanQ = [tex]\frac{21}{20}[/tex]

Step-by-step explanation:

tanP = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{20}{21}[/tex]

tanQ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{21}{20}[/tex]

I only need help with 19-21. Any help is appreciated

Answers

The slope is 2 for number 20

Can you also explain it? Use the distributive property to simplify the expression.
4 (1a + b – 6)

Answers

Answer:

4a + 4b - 24

Step-by-step explanation:

You first start off by giving (multiplying) 4 to everything that's in the parenthesis.

Second you multiply:

4 x 1a = 4a

4 x b = 4b (also remember that a variable by its self is just 1)

4 x -6 = -24

Lastly you put it together:

4a + 4b - 24

For the -24 you can either do it the way I did or this way -> (-24) but teachers will look mostly for -24 way. But use whichever one is easier for you :)

Hope this helps!

checkers is one of the oldest board games still played today. the oldest known checkerboard is over 5,000 years old. a standard checkerboard is square and has an area of 64 square inches. what is the length of one side of the board? PLEASE HELP

Answers

Answer:

I think its 8 because 8 plus 8 is 64

a ball is randomly selected from a bag conraining 12 yellow balls,5red balls,and 7 white balls. find p(white ball). round to the nearest hundredth if necessary?

Answers

Answer:

P(white ball)=0.29

Step-by-step explanation:

12 yellow balls

5 red balls

7 white balls

12+5+7=24

so 24 balls in the bag

[tex]\frac{7}{24}[/tex]=0.2916

rounded to the nearest is 0.29

Is the following conditional true?
If a number is rational, then it is a quotient of two integers.

Answers

Answer:

False

Step-by-step explanation:

The statement itself is wrong in the textbook is given that if a number is a rational then it si the additive inverse of the stsrement

13 POINTS
A plan for a dog house has a scale of 4 inches 1 fool. The plan shows the
measurements of the dog house Noor as 16 inches by 10 inches. Which is the actual
area of the dog house floor to the nearest tenth inch?
40,0 square feet
53.3 square feet
10.0 square feet
13.3 square feet

Answers

40,0 square feet because I’m smart

The value of seven in 17.92 is what times as much as the value of seven in 92.17

Answers

Answer:

100

Step-by-step explanation:

In 17.92, the 7 is in the ones digit, so its value is 7.

In 92.17, the 7 is in the hundredth digit, so its value is 0.07

7 is 100 times 0.07

What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63

Answers

Answer:

x = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

3x - y = 18

y = 27

Step 2: Solve for x

Substitute in y:                     3x - 27 = 18Isolate x term:                      3x = 45Isolate x:                               x = 15

Answer:

15

Step-by-step explanation:

3x - y = 18

Insert the value of y in the equation.

3x - 27 = 18

Shift -27 to the other side of the equation.

3x = 18 + 27

3x = 45

x = 45 ÷ 3

x = 15

So please check if your options and the equation are correct.

I need help or me mommy will get mad

Answers

Answer:

2 inches

Step-by-step explanation:

[tex]\frac{.25}{4} =\frac{x}{32} \\[/tex]

(0.25*32)/4=2

Answer:

2 inches

Step-by-step explanation:

please mark this answer as brainliest

The graph above shows marnie's rate while walking. Which of the following is an ordered pair on the graph??
A.(2,100)
B.(3,200)
C.(4,250)
D.(8,500)

Answers

Answer:

A.(2,100)

have a nice day and I hope it helps

Answer:

A

Step-by-step explanation:

I am a number between 17 and 25

I am a multiple of 3

6 is not a factor of mine

Answers

Answer: 21

Step-by-step explanation:

Possible outcomes: 18,19,20,21,22,23,24

18, 21, and 24 are multiples of 3.

18 and 24 are multiples of 6

21 is the answer

round 5,816 to the nearest hundred

Answers

Answer:

5800

Step-by-step explanation:

that is to the nearest hundred

Answer:

5,800

Step-by-step explanation:

In 5,816. the number in the hundred place is the 8. The rule in rounding is 5 and above goes up, under 5 stay the same. The number after the 8 is the 1 and 1 is less than 5, so stays the same. So the 5,816 rounded to the hundred place is 5,800.

Please help I really do not understand this yeah I can be weird sometimes but please help will mark the correct answers brainiest

Answers

Answer:

Step-by-step explanation:

1.0.39

2.0.33

3.Loose

4.0.14

I did the first four... hope that helps

What is the answer to 5 divided by 2/7

Answers

Answer:

17 1/2

Step-by-step explanation:

To divide a whole number and a fraction, write the whole number as a fraction (in this case, 5 becomes 5/1). Then, change the division symbol to a multiplication symbol. After that, you flip the second number and multiply. As you can see, you get 35/2 as the answer. To simplify that, divide 35 by 2. The answer becomes the whole number, the divisor becomes the denominator, and the remainder becomes the numerator. That means our simplified answer is 17 1/2.

Expand and simplify
2(x + 7) + 3 (x + 1)

Answers

Answer:

Step-by-step explanation:

2x + 14 + 3x + 3

Solving like terms

5x + 17

please help. Will give brainliest!!

Answers

Answer:

A.

Step-by-step explanation:

For starters, we can combine like terms. we can combine -3 with -2 to get -5, and [tex]\frac{3}{5} x[/tex] with [tex]\frac{-1}{5} x[/tex] to get [tex]\frac{2}{5} x[/tex]. Now, we have [tex]\frac{2}{5} x-5[/tex] as our final answer, or answer A. Also, brainliest is not necessary. Hope this helps!

for the equation 2(4x+10)=8x+k what value of k will create infineltly many solutions please help

Answers

Answer:

The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

Step-by-step explanation:

Given the expression

[tex]2(4x+10)=8x+k[/tex]

solving

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

We know that the equations with infinitely many solutions have the same expressions on both sides

It means the value of k can be determined by further simplifying such as

[tex]8x+20 = 8x+k[/tex]

8x+20-8x = k

20 = k

Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

VERIFICATION:

Given

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

Put k = 20 in the equation

[tex]8x+20 = 8x+20[/tex]

[tex]8x+20 - 8x+20 = 0[/tex]

[tex]0 = 0[/tex]

equations with infinitely many solutions have the same expressions on both sides.

This means the statement is always true.

You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long must you invest that money to earn $500 in iterest?

Answers

That would be 2500 divided 4

Then add $500

Answer:

5 years

Step-by-step explanation:

2500 x 0.04 = 100

500/100 = 5

find what x =_______​

Answers

Answer:

x=18

Step-by-step explanation:

ok, so you mulityply base and hieght then divide by 2

your base is 6 and your height is 6

6x6=36

36/2=18

your welcome

answer: x=18
hope it helps !!!

If i roll 2 dice what is the probability that neither of them are prime nor even?

Answers

Answer:

There are 3 prime numbers shown on the die: 2, 3 and 5. The probability of showing a prime number on a single die is 1/2, hence the probability of not showing a prime number is also 1/2. Total possible outcomes when two dice are rolled = 6*6 = 36. Total possible outcomes when two dice are rolled = 6*6 = 36.


Divide x3 + x2 - X+ 2 by r+ 4 using long division.

Answers

Answer:

6-x+2bry

Step-by-step explanation:

Answer:

Here are the steps required for Dividing by a Polynomial Containing More Than One Term (Long Division):

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term (this will help with the spacing).

Step 2: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol.

Step 3: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol.

Step 4: Subtract and bring down the next term.

Step 5: Repeat Steps 2, 3, and 4 until there are no more terms to bring down.

Step 6: Write the final answer. The term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

Example 1 – Divide: Example 1

plz help with this question

Answers

Answer:

q⁸/16p¹²

Step-by-step explanation:

Use of formulas:

(a/b)⁻ⁿ = (b/a)ⁿ(aᵇ)ⁿ = aᵇⁿ

Simplifying

(2p³/q²)⁻⁴ =(q²/2p³)⁴ =(q²)⁴/(2p³)⁴ =q⁸/2⁴p¹² =q⁸/16p¹²

Answer:

[tex] { (\frac{2 {p}^{3} }{ {q}^{2} }) }^{( - 4)} = \frac{{2}^{(-4)} {p}^{(3 \times ( - 4))} }{ {q}^{(2 \times ( - 4))} } = \frac{ {p}^{ (- 12)} }{16 {q}^{( - 8)} }=\boxed{\frac{ {q}^{8} }{ 16{p}^{12} }} \\ [/tex]

q⁸/16p¹² is the right answer.

mother i need of the assistance i have fallen of my scooter

Answers

Answer:

ok....

Step-by-step explanation:

Umm I don't think this is a question but....

Oh my lord how did you fall off!!

I am going to call 911

They will be here in 5 minutes!!

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