All categories

3 years ago

Hopefully u can see it now sigh.

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

Answer:

1.39m (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

tanθ= opp/adj

cosθ= adj/hyp

You might be interested in

Polynomial expressions with matching

yuradex [85]

Answer:

The difference of 27x³ and 8y³ → [3x - 2y][9x² + 6xy + 4y²]

The difference of 27x³ and 64y³ → [3x - 4y][9x² + 12xy + 16y²]

The sum of 27x³ and 64y³ → [3x + 4y][9x² - 12xy + 16y²]

The sum of 27x³ and 8y³ → [3x + 2y][9x² - 6xy + 4y²]

Step-by-step explanation:

For the first two, we use the Difference of Cubes [(a³ - b³)(a² + 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x - 2y = \sqrt[3]{27x^3 - 8y^3} \\ 3x - 4y = \sqrt[3]{27x^3 - 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign in your given expression, which will be a plus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ - 64y³

[3x - 4y][9x² + 12xy + 16y²]

↑ ↑ ↑

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ - 8y³

[3x - 2y][9x² + 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Now, for the last two, we use the Sum of Cubes [(a³ + b³)(a² - 2ab + b²)] first by taking the cube root of the given expression to get our first factor[s]:

$\displaystyle 3x + 2y = \sqrt[3]{27x^3 + 8y^3} \\ 3x + 4y = \sqrt[3]{27x^3 + 64y^3}$

Then, use the acronym of SOAP {whether the next operations symbols will be negative or positive [SAME (your cube-rooted factor has an IDENTICAL OPERATION SYMBOL as your given expression), OPPOSITE (the first sign in your second factor in the second set of parentheses will be the opposite of what the sign is in your given expression, which will be a minus sign), ALWAYS POSITIVE (the last sign in your second factor in the second set of parentheses will ALWAYS stay positive NO MATTER WHAT)]} to get the second factor:

Given: 27x³ + 64y³

[3x + 4y][9x² - 12xy + 16y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

Given: 27x³ + 8y³

[3x + 2y][9x² - 6xy + 4y²]

↑ ↑ ↘

same as opposite ALWAYS POSITIVE

given of given

I am delighted to assist you anytime!

* As you can see, when using the <em>Difference\Sum of Cubes</em>, SOAP can vary depending on how an expression is given to you. They resemble each other though.

6 0

3 years ago

Question 7 not answered which set of numbers with a difference of 2 is a factor pair of 48? answer choices 2 and 4 4 and 6 6 and

ehidna [41]

Answer:

6 and 8

Step-by-step explanation:

All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.

2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48

4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48

6 and 8 . . . . . have a difference of 2, and 6·8 = 48

24 and 2 . . . . do not have a difference of 2

6 0

3 years ago

Ruben put an empty cup underneath a leaking faucet. After 1 1/2 hours, Ruben had collected 1/4 cup of water. What is the rate, i

worty [1.4K]

Answer:

The rate is $\frac{1}{6}$ cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours, i.e 1.5 or 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

If it takes $\frac{3}{2}$ h for $\frac{1}{4}$ cup;

then it will take 1 h for how many cups?

$= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }$

$= \frac{2}{4 \times 3}$

$= \frac{2}{12}$

$= \frac{1}{6}$ cups

Therefore, the rate is $\frac{1}{6}$ cups per hour

5 0

3 years ago

Please help! Divide. Write the quotient in lowest terms.

Mekhanik [1.2K]

The correct answer for this would be 32/5

6 0

3 years ago

Show 46/200 on the hundredths grid. then write the fractions as a demical

SSSSS [86.1K]

If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
$\frac{46}{200}= \frac{46:2}{200:2}= \frac{23}{100}$
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23

3 0

3 years ago