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Kruka [31]
3 years ago
9

There are 14 crayons and 30 markers in a box. what are the ratios of markers ton crayons? ( simplest form)

Mathematics
2 answers:
bixtya [17]3 years ago
7 0
The answer should be 15:7
dolphi86 [110]3 years ago
6 0
I think the answer is 15:7 Correct me if i'm wrong...
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given triangle DEF find side d and angle E. Round to tenths! angle D is 65 degrees. side DF is 6 and side DE is 9.
Damm [24]

Answer:

d is 8.4 units

m∠E is 40.3°

Step-by-step explanation:

Let us use the cosine rule to find the side d and then use the sine rule to find the measure of angle E

  • Cosine rule is d² = e² + f² - 2(e)(f)(cos D)
  • Sine rule is \frac{sinD}{d}=\frac{sinE}{e}=\frac{sinF}{f}

In Δ DEF

∵ EF is represented by d

∵ DF = 6 units and is represented by e

∴ e = 6

∵ DE = 9 units and is represented by f

∴ f = 9

∵ m∠D = 65°

- Substitute the values of e, f and m∠D in the cosine rule above

∴ d² = (6)² + (9)² - 2(6)(9)(cos 65°)

∴ d² = 71.35722773

- Take √  for both sides

∴ d = 8.447320743

- Round it to the nearest tenth

∴ d = 8.4 units

Now let us use the sine rule to find m∠E

∵ \frac{sin(65)}{8.4}=\frac{sin(E)}{6}

- By using cross multiplication

∴ 8.4 × sin(E) = 6 × sin(65)

∴ 8.4 sin(E) = 6 sin(65)

- Divide both sides by 8.4

∴ sin(E) = 0.647362705

- Use sin^{-1} to find m∠E

∴ E = sin^{-1} (0.647362705)

∴ m∠E = 40.34305

- Round it to the nearest tenth

∴ m∠E = 40.3°

7 0
3 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B35%20%5Ctimes%2035%7D%20" id="TexFormul
mixer [17]

Answer:

√{35×35}=√35²=35 is your answer

7 0
3 years ago
Read 2 more answers
Determine on the argand diagram (4 + 2i) + (-2 + 3i) - (-1 + 6i)​
Nadusha1986 [10]

Answer:

4+2i-2+3i+1-6i

collect like terms

3-i

6 0
3 years ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
4 years ago
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Nitella [24]

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

7 0
3 years ago
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