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3 years ago

How do you work this out?

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.

Please ask questions if need be.

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How many integers in the set of all integers from 1 to 200, inclusive, are not the cube of an integer

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Cubing of integers from 1 to 5 will have their cubes in the interval 1 to 200. There are such 5 positive numbers (1,2,3,4,5).

To calculate the variety of integers, locate and subtract the integers of the hobby after which subtract 1. As evidence of the concept, calculate the wide variety of integers that fall between five and 10 on more than a few lines. We realize there are four (6, 7, 8, 9).

All entire numbers are integers (and all herbal numbers are integers), however now not all integers are whole numbers or natural numbers. as an example, -five is an integer but not an entire variety or a natural quantity. An integer is an entire variety (not a fractional number) that can be fine, bad, or 0. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.forty three, 1 3/four, three.14, . 09, and five,643.1.

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2 years ago

There are 60 dogs at a doggie daycare on Friday. If 1/3 of the dogs are large dogs, 1/6 of the dogs are medium-sized dogs,and th

Lorico [155]

Half of the dogs are small dogs

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3 years ago

Read 2 more answers

Radio signals travel at a rate of 3 × 10^8 meters per second. How many seconds would it take for a radio signal to travel from a

stiv31 [10]

This question is an example of d = r * t

r = rate

r = 3*10^8 m/s

t = ??

d = 7.5 * 10^6 meters.

Sub and solve

d = r * t

7.5 * 10^6 = 3 * 10^8 * t Divide both sides by 3 * 10^8

7.5 * 10^6 / (3 * 10^8) = t

2.5 * 10^(6 - 8) = t

2.5 * 10^-2 seconds = t or

0.025 seconds = t

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3 years ago

Adam has $2.15 in nickels, dimes and quarters in his pocket. If the number of dimes is 4 less than the number of nickels, and 5

Alexus [3.1K]

Answer:

8 Dimes,12 Nickels, and 3 Quarters

Step-by-step explanation:

d= amount of dimes n=amount of nickels q=amount of quarters

You have to make formulas for the different variables. Since there are four more dimes than nickels so you have d+4=n. same thing with quarters but LESS so you would subtract d-5=q.

Then making the big picture;

Dimes have 10 cents Nickles have 5 cents, and Quarters have 25 cents. We do not know how many of each we have but we do know how much they are so when you add them together you would have to get the amount of money. That is were the amount of each coin comes in so we have 10(d) for dimes 5(n) for nickles then 25(q) for quarters. We know the total of those is going to get 215 for the $2.15. This is how we get the big formula 10(d)+5(n)+25(q)=215.

Now we just plug things in 10(d)+5(d+4)+25(d-5)=215. Now we solve for D.

Distribute the 5 and 25 10d+5d+20+25d-125=215

Add common multiples 40d-105=215

Add 105 to both sides 40d=320

Divide 40 to both sides d=8

Now you have to figure out how many quarters and nickels you have just plug them into the other formulas;

n=d+4 n=8+4 n=12

q=d-5 q=8-5 q=3

You can ALWAYS check you answer by plug them into the "big picture"

10d+5n+25q=215 ~ 10(8)+5(12)+25(3)=215 ~ 80+60+75=215

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3 years ago

Read 2 more answers

5 is to 7 as is to 49

Ostrovityanka [42]

5 is to 7 as is to 49 is to 51

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3 years ago