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

Eleven increased by three times a number equals 68) Write an equation for this situation and then find the
number

Answers

Answer:

11+3x=68

x=19

Step-by-step explanation:

11+3x=68 is your equation.

subtract 11 from both side to get 3x alone

3x=68-11

3x=57

divide 3 from both sides to get x alone

x=57/3

x=19

19 is your number.

Help ASAP I’ll give brainliest how do u find this out or how do u think we could find this out

Answers

Answer:

9526/87

Step-by-step explanation:

87·x=9,526

x=9526/87

Consider the system of equations below. Explain how you could use multiplication to help eliminate one of the variables.

x−5y=13
4x−3y=1

Answers

Answer:you cross multiply

Step-by-step explanation:

i hate tacos

(a-1)+(b+3)i = 5+8i

please answer me quickly i need it please

Answers

Answer:

a = 6, b = 5

Step-by-step explanation:

Assuming you require to find the values of a and b

Given

(a - 1) + (b + 3)i = 5 + 8i

Equate the real and imaginary parts on both sides , that is

a - 1 = 5 ( add 1 to both sides )

a = 6

and

b + 3 = 8 ( subtract 3 from both sides )

b = 5

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

What is the length of AC
A)72
B)8
C)None of these
D)136
E)132
F)96

Answers

It’s F don’t click the link they will hack you

can someone help plz ... mark brainliest ❤️

Answers

Answer:

Top:(4r⁹+3r³-5)

Bottom: r⁵

Step-by-step explanation:

whats 10x10+111-21x999/999+21-111/10?

Answers

Answer:

199.9

Step-by-step explanation:

Find the surface area.
24 in.
40 in.
10 in.
26 in.

Answers

Answer:

100 i think

Step-by-step explanation:

trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.

Answers

Answer:

x + y [tex]\leq 6[/tex]

Step-by-step explanation:

The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.  

This condition is represented by the inequality x + y ≤ 6

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.

Her bag can hold a maximum of 6 fruits.

Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.

The inequality to represent this situation is:

x + y ≤ 6

This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ3

ill mark brainliest, question is attached

Answers

Answer:

w=8

Step-by-step explanation:

[tex]72=7w+2w\\72=9w\\\frac{72}{9} =w\\w=8[/tex]

proof:

[tex]72=7(w)+2(w)\\72=7(8)+2(8)\\72=56+16\\72=72[/tex]

Answer:

Simplest-9w=72, w=8

Step-by-step explanation:

7w+2w=9w

72/9=8

w=8

help, please Ill mark brainliest!

Answers

Answer:

the answers are 12.5, 5, 2, 0.8 and 0.32

Step-by-step explanation:

2(0.4)^-2

=2(6.25)

= 12.5

2(0.4)^-1

= 2(2.5)

=5

2(0.4)^0

=2(1)

=2

2(0.4)^1

=2(0.4)

=0.8

2(0.4)^2

=2(0.16)

=0.32

Help with my mathhh!

Answers

Answer:

Step-by-step explanation:

d

Answer:

<BOF

Step-by-step explanation:

sum of both these angles is 180 so C is the answer.

help ASAP Ill give you brainliest

Answers

Answer:

none of these

Step-by-step explanation:

There are 3 boys walking

There are a total of 20 people

3/20 = 0.15

That is 15 percent, therefore none of these answers.

Step-by-step explanation:

any has at least one mode

When rolling a die why is the probability of rolling a 2 or 3

Answers

Answer:

1/3

Step-by-step explanation:

If you're talking about a 6-sided die, then there are 6 sides.  Rolling a 2 or a 3 would be a 2/6 chance.  To simplify if from there, you can also say that there is a 1/3 chance.

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT

~no links pls~

Answers

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

if u know what to do pls help

Answers

Answer:

I think it is 6.2 miles.

Step-by-step explanation:

Hope it's help you ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answer:

6.2 miles

Step-by-step explanation:

10 kilometers=.62 miles

.62*10= 6.2 miles

Find the GCF of the monomials: 18x² and 21x²y
A)3x
B)3x²
C)3xy
D)3x²y
PLEASE HELP MEEE

Answers

It’s b because they both have x squared and are both divisible by 3

HELP PLEASE!!!

The bear population in Canada was 380,000 in the year 2015, and environmentalists think that the population is increasing at a rate of 2.5% per year.
Consider the function that represents the exponential growth of the bear population in Canada.

Part A: Defines a variable for the function and state what the variable represents.

Part B: What is a reasonable domain for the situation?

Part C: Write the function that represents the exponential growth of the bear population.

Part D: What will the bear population estimated to be in 2050?

Answers

Answer:

The population of Bear in 2050 is 4750000

Step-by-step explanation:

A) The exponential growth equation for bear is as follows -

dN/dT = rmax * N

Where dN/dT = change in population

rmax is the maximum rate of change

N = Base population

B) Here the per capita rate of increase (r) will always be a positive value irrespective of the and hence we will assume this population to be growing exponentially.

C) dN/dT = rmax * N

D) dN / 5 = 2.5 * 380,000

dN = 5*2.5 * 380000

= 4750000

i dont have a question for this. look at the photo​

Answers

Answer:

first is no second is yes third is no fourth is yes

Step-by-step explanation:

I'm not sure btw

The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?

Answers

Answer:

BC = 3(EF)

Step-by-step explanation:

The question stated that AC is 3 times the length of DF.

Answer:

BC = 3(EF)

Step-by-step explanation:

Remember that AC is 3 times the length of DF

Need help on this one too

Answers

Answer:

sin(θ)=4√41/41

cos(θ)=5√41/41

tan(θ)=4/5

cot(θ)=5/4

sec(θ)=√41/5

csc(θ)=√41/4

Step-by-step explanation:

Pls help, question on picture, will do brainliest if right
no links!!!!!

Answers

Answer: 24/25

Step-by-step explanation:

Sin = opposite/hypotenuse

Sin = 24/25

Students in an Introductory Statistics class at BYU-Idaho were studying prices of cold cereal at grocery stores in Rexburg. To get a sample of cold cereal prices, they went to Albertson's and rolled a die to decide which box from the left of the top shelf they would start on. They then recorded every 6th cereal after the first, moving from left to right down the shelves, recording the name, size, and price of each cereal in their sample. Is this study an experiment or an observational study, and why

Answers

Answer: Observational study

Step-by-step explanation:

The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.

If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.

help ASAP ill mark brainliest

Answers

Answer:

Mean = 16.090909090909

Median = 16

Mode = 16

Range = 5



Mean ⎯⎯⎯
x
¯
16.090909090909
Median ˜
x
~
16
Mode 16
Range 5
Minimum 14
Maximum 19
Count n 22
Sum 354
Quartiles Quartiles:
Q1 --> 15
Q2 --> 16
Q3 --> 17
Interquartile
Range IQR 2
Outliers none

Answer:

16.1, 16, 16

Step-by-step explanation:

1) we are going to do the mean :)

you add all the number together and divide by the same number

you should get 354/22 which is 16.0909....... since its round to tenth place, we place it at 16.1.

2)  median, for this one, you have to lay out the numbers and see which one is in the middle, in 14,15,16,17,19, 16 is the median.

3)  the number that appear the most is the mode, so right now we have

three 17s and six 16s, don't worry about the others because its not in the answer choice, so its 16.

Hope this helps :D

Find the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)2 = 2(y-2.5)
B. (x-3)2 = 4(y-3)
C. (x-3)2 = (y-4)
D. (y-3)2 = 4(x-3)

Answers

Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)

The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:

(x - h)^2 = 4a(y - k)

The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:

(x - 3)^2 = 4(2)(y - 4)

Simplifying:

(x - 3)^2 = 8(y - 4)

The correct equation for the parabola is:

(x - 3)^2 = 8(y - 4)

Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)

For more such questions on parabola

https://brainly.com/question/4061870

#SPJ8

The diameter of a semicircle is 10 meters. What is the perimeter of the semicircle, in meters? Round your answer to the nearest tenth.

Answers

Answer:

25.7 m

Step-by-step explanation:

The formula for the circumference of a circle is C = 2(pi)(r), where r is the radius, which in turn is half the diameter.  Thus, the formula for the circumference is C = (d)(pi).  The perimeter of a semicircle is half that, or

C = (pi)(r), which here is (3.14)(5 m) = 15.7 m.  Finally, the total perimeter is the sum of this 15.7 m and the 10 m diameter of the circle:

P = 15.7 m + 10 m = 25.7 m

Please answer with explanation

Answers

a: 550-n×55

Step-by-step explanation:

because she withdraws every week 55 then the equation is that

Answer:

a. A = 550 - (n55)b. $165.00

Explanation:

a. Amount of remaining dollars = $550 (the initial amount) - (numbers of weeks times $55 that she withdraws weekly)

so the equation is: A = 550 - (n55)

b. using the equation in (a) we can determine the amount of money in Shirley's account after 7 weeks.

A = 550 - (7×55)

A = 550 - 385

A = $165.00

1. find the surface area 3 ft 4 ft 10 ft Your answer​

Answers

Answer:

Surface area is 164 ft^2.

Step-by-step explanation:

2(10*4) + 2(10*3) + 2(4*3) = 164 ft^2

A 28 ft tall house casts a shadow that is 35 ft long. A umbrella outside the house casts a shadow that is 16 7/8 long. How tall is the umbrella?

Answers

Answer:

The unbrella is 13.5 feet tall.

Step-by-step explanation:

35 / 28 = 1.25

1.25x = 16 7/8

x = (16 7/8) / 1.25

x = 13.5 ft

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