300 mm
40 cm
50 cm
2 dm
Slice of a cake

300 Mm40 Cm50 Cm2 DmSlice Of A Cake

Answers

Answer 1

Answer:

The correct answer in each case is:

Surface area = 60 [tex]cm^{2}[/tex]Surface area = 6000 [tex]mm^{2}[/tex]Surface area = 0.006 [tex]m^{2}[/tex] Volume = 1200 [tex]cm^{3}[/tex]

Step-by-step explanation:

First, to calculate the surface area or the volume you must have all the measures in the same units, for the exercise we're gonna use centimeters and after we can replace the units in the answer if we need, then:

300 mm = 30 cm 40 cm 50 cm 2 dm = 20 cm

Now, to obtain the surface area of the triangle we're gonna use the next formula:

Surface area = (base * height) / 2

And we replace the values in centimeters:

Surface area = (30 cm * 40 cm) / 2Surface area = (120 [tex]cm^{2}[/tex]) / 2Surface area = 60 [tex]cm^{2}[/tex]

To obtain this same value now in square milimeters, you must know:

1 [tex]cm^{2}[/tex] = 100 [tex]mm^{2}[/tex]

Now, you must multiply:

60 [tex]cm^{2}[/tex] * 100 = 6000 [tex]mm^{2}[/tex]60 [tex]cm^{2}[/tex] = 6000 [tex]mm^{2}[/tex]

To obtain this value now in [tex]m^{2}[/tex], you must know:

1 [tex]m^{2}[/tex] = 10000 [tex]cm^{2}[/tex]

You must divide:

60 [tex]cm^{2}[/tex] / 10000 = 0.006 60 [tex]cm^{2}[/tex] = 0.006 [tex]m^{2}[/tex]

By last, to obtain the volume of the piece of cake, you can use the next formula:

Volume of the piece of cake: surface area * depth

And we replace the surface area in [tex]cm^{2}[/tex] because the answer must be in [tex]cm^{3}[/tex]:

Volume of the piece of cake: 60 [tex]cm^{2}[/tex] * 20 cmVolume of the piece of cake: 1200 [tex]cm^{3}[/tex]

Related Questions

Jim sliced a cylinder to create a cross section shaped like an oval. How did Jim slice the cylinder?

Answers

Answer:

He sliced it diagonally or at an angle.

Step-by-step explanation:

He sliced it diagonally (or at an angle) because the horizontal cross-section of a cylinder is a circle and the vertical cross-section of a cylinder is a rectangle, an oval is between a rectangle and a circle.

PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP​

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

TILAPIA FISH!!!!!!!!!

Answers

Answer:

yes.

................................

You need help with anything??

f ( x ) = − x 2 − 12 Find f ( − 3 )

Answers

Answer:

f(-3)=-21

Step-by-step explanation:

f(x)=-x2-12

f(-3)=-(-3)2-12

f(-3)=-9-12

f(-3)=-21

Answer:

-3

Step-by-step explanation:

x=-3 substitute in the equation

+3 squared-12=-3

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
3 to 4
4 to 3
4 to 7
7 to 4

Answers

Answer:

3 to 4

Step-by-step explanation:

12÷4=3

16÷4=4

so that makes it 3 to 4

Which Angle has a corresponding angle of angle 6

Answers

Answer:

lines l and m are not parallel so the only angle we can say with certainty that has the same measure as angle 6 is angle 8 because they are vertical angles

Step-by-step explanation:

Please help me, I’m struggling

Answers

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

Compare lengths. Select >, <, or = .
900 cm _ 9 m

Answers

Answer:

900 cm = 9 m

Step-by-step explanation:

9 m = 900 cm

Therefore, 9 m equals 900 cm.

5.


A. never

B. not enough information provided

C. sometimes

D. always

Answers

Answer:

Step-by-step explanation:

The correct answer is Always

kason11wd and 2 more users found this answer helpful

THANKS  

1

4.0

(1 vote)

1

the correct answer was never. I appreciate your answer though.

.............................................................................................................................................................

P(A and B) means add A and B

if both A and B are both greater then 1/2

then when they are added they will always be greater than 1

bolivianouft and 2 more users found this answer helpful

THANKS  

1

5.0

(1 vote)

1

the correct answer was never. I appreciate your answer though.

Answer:The correct answer is Always

I really need help fast and ill do anything just help me plz

Answers

Answer is C. 12.22cm

C = pi x diameter

Diameter = 20cm

You times pi by 20cm (diameter) to get the circumference of approx 62.84cm

Then times the circumference by the angle in the circle

62.84 x 70/360 = 12.22cm

4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)

Answers

The third one i believe

Answer:

G. (-2.5, 0)

Step-by-step explanation:

Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).

hope this helped :)

find the value of two numbers if their sum is 39 and their difference is 1

Answers

20+19=39

20 is 1 more than 19 making 19 1-less than 20. The difference is 1 between the two numbers

If m∠4 = 35°, find m∠2 and m∠3.

There are two parallel lines. Point A and B are on the upper line and point C and D are same are A and B on the lower line. The segment AC is perpendicular to both parallel lines. There is another segment CB. The angle CAB is denoted by 1. The angle ABC is denoted by 2. The angle ACB is denoted by 3. The complementary angle of angle 3 is denoted by 4.

m∠2 =
°

m∠3 =
°

Answers

Answer:

Step-by-step explanation:

yes

The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.

Given that AB and CD are parallel and AC is perpendicular to both.

So,

∠ACD = 90°

∠3 + ∠4 = 90°

∠3 = 90 - 35 = 55°.

Now,

Since ∠4 and ∠2 are alternative angles so both will be the same.

So,

∠2 = 35°

Hence "The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°".

For more about the angle,

brainly.com/question/13954458

#SPJ2

PLEASE HELP ASAP! 10 POINTS ‼️

Answers

Answer:

The correct answer would be D, it is a logarithmic function.

Step-by-step explanation:

The radius of a circle is 4 feet. What is the area?

r=4ft

Give the exact answer in simplest form.

Answers

Abswer is here

100.571429

x is 40% of 60

x=?

please help!!​

Answers

Answer:

x = 24

Step-by-step explanation:

x = .4(60)

x = 24

40% of 60 can be found by converting 40% to a decimal and multiplying it by 60.

40% = 0.4

60x0.4=2.4

Now move the decimal point right one.

So x is 24.

---

hope it helps

Maya bought a board game that cost $24. She had to pay a 7 1/2% sales tax. How much change did she get from thirty dollars?

Answers

Answer: $4.20

Step-by-step explanation:

24(.075)=1.80

24+1.80=25.80

30-25.80=4.20

Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.

Answers

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

What ordered pair represents the y-intercept for the function y=2^x

Answers

Answer:

(0, 1)

Step-by-step explanation:

[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]

Solve 2x2 + x − 4 = 0

Answers

Answer:

x = 0

Step-by-step explanation:

hi there!

im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!

2 * 2 + x - 4 = 0

is our equation that we are working with ^

first step is, following the pemdas we multiply *2 with its self

( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )

2 * 2 + x - 4 = 0

2 * 2

= 4 + x - 4 + 0

then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of  x = 0

4 + x - 4 + 0

4 + - 4 = 0

x = 0

i hope this helps you! have a good rest of your day :)

Use the order of operations to solve for C when n = 5.
C = 7(4n + 2) - 8
Use order of operations to solve for C when n = 5.
C = 45 - 3n

Answers

C=7(4(5)+2)-8
C=7(20+2)-8
C=7(22)-8
C=154-8
C=146

C=45-3(5)
C=45-15
C=30

uh someone help D:
ill make the points high

Answers

Answer:

m = 18/4 = 9/2 = 4.5

Step-by-step explanation:

Notice that the line passes through (0, 0) and (4, 18).  Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5             This is Answer B

Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minutes, and the second act was an hour long. What time was it when the play finished?

Answers

10:45 is when the play is done

Solve Systems of Equations Algebraically.
y=x-8
y=5x

Answers

Answer:

(- 2, - 10 )

Step-by-step explanation:

Given the 2 equations

y = x - 8 → (1)

y = 5x → (2)

Substitute y = 5x into (1)

5x = x - 8 ( subtract x from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Substitute x = - 2 into either of the 2 equations for y

Substituting into (1)

y = - 2 - 8 = - 10

solution is (- 2, - 10 )

i need help please and thank you i will give a brainliest for the correct answers so it’s more than once it say select all that apply

Answers

Answer:

I would say C or B

Step-by-step explanation:

⚠ warning, there are multiple bots that spam links, that are usually written in a link shortening form (eg, c u t . l y , b i t . l y) do NOT click on those links, as they usually contain trojan viruses, and/or adult content. please copy + paste this message so other users can be aware and stop these bots. thank you, and be safe! :) #waronbitlybots

Which of the following functions is graphed below?

Answers

Answer:

B:y=|x+2| -3

The graph shows the points throughout the equation

A property worth 10,480.00 is shared between Eugenia and her 10 brothers in ratio: 1:4 respectively.The 10 brothers shared their portion equally.Find each the brothers share.

Answers

Answer:

838.4

Step-by-step explanation:

From the question,

Total worth of the property = 10480.

Eugenia share: Her 10 brothers share = 1:4

Total ratio = 1+4 = 5.

Her 10 brother's share = (4/5)(10480)

Her 10 brother's share = 41920/5

Her 10 brother's share = 8384.

If the 10 brothers shared their portion equally,

Each brother's share = 8384/10

Each brother's share = 838.4



Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.


Which simulation design has an appropriate device and a correct trial?

Answers

Complete question is;

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?

A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.

D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answer:

B) Using a table of random digits, select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

Step-by-step explanation:

Since she knows that if she rolls a four on three of her next five rolls she will lose the game, then the best simulation that she will roll a four on three of the next five rolls will be option B because it uses a table of random digits and doesn't ignore any number but is well ordered with 0-6 representing a four and 7-9 not rolling a four.

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Answers

Answer:

9%

Step-by-step explanation:

Given :

Principal, P = 400

Time, t = 4 months = 4/12 = 0.33333

Simple interest = 12

Simple interest = (principal * rate * time)

Rate = r

12 = (400 * r * 0.33333)

12 = 133.3333r

r = 12 / 133.3333

r = 0.090000

r = 0.09

rate = 0.09 * 100% = 9%

Please please help me it would mean a lot. Find the area

Answers

Answer: 10.825 Unit ^2

Explanation: Formula for area of triangle: A = 1/2 bh. Plug in variables. A = (1/2) (4.33)(5). Solve.
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