1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sukhopar [10]
3 years ago
11

49 ÷ 43 = sorry guys about the bad question its actually 4 to the 9th power divided by 4 to the third power

Mathematics
1 answer:
zalisa [80]3 years ago
5 0
First of all, if you look at the question, you will notice that the two numbers involved are the same (that is; 4 and 4). However, there are two ways to solve this. But the easiest way is by using indices. In indices, whenever you are multiplying two numbers that are the same, the powers are added. And whenever you are dividing two numbers that are the same, the powers are subtracted. This is due to the fact that in indices, addition is related to multiplication and subtraction is related to division. An example is;
A⁵ × A³ = A⁽⁵⁺³⁾ =A⁸
A⁵ ÷ A³ = A⁽⁵⁻³⁾ =A²
  Anyway, over to the question now;
4⁹÷4³
4⁽⁹⁻³⁾
4⁽⁶⁾
  Therefore; 4×4×4×4×4×4=4096
So the answer is 4096. However, if you calculate 4⁹÷4³ on a calculator, you will still get 4096. Hope i helped. Have a nice day


You might be interested in
How to use inverse cosin
Alecsey [184]

Answer:

sec

Step-by-step explanation:

1/cosin = sec or cosin^-1

4 0
2 years ago
Simply 3/4s - (6 - 3/4s)
Stolb23 [73]

Answer:  3/2 s-6

hope i helped

if you can give me brainliest that would be great

8 0
3 years ago
Read 2 more answers
11 points!!!!!!! and brainiest
BartSMP [9]

Answer:

B. -13

Step-by-step explanation:

this corrrect answer please mark as brainliest

5 0
3 years ago
Read 2 more answers
Jaden construction scale model of a building with a rectangle or a base model is 2 inches in length and 1 inch in with the scale
Novosadov [1.4K]

Answer:

4418

Step-by-step explanation:

2 inches=94ft

1 inch=47ft

94*47= 4418 ft

3 0
3 years ago
If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.
nydimaria [60]

Answer:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

Step-by-step explanation:

Given

\cos(\theta) = -\frac{2}{3}

\theta \to Quadrant III

Required

Determine \tan(\theta) \cdot \cot(\theta) + \csc(\theta)

We have:

\cos(\theta) = -\frac{2}{3}

We know that:

\sin^2(\theta) + \cos^2(\theta) = 1

This gives:

\sin^2(\theta) + (-\frac{2}{3})^2 = 1

\sin^2(\theta) + (\frac{4}{9}) = 1

Collect like terms

\sin^2(\theta)  = 1 - \frac{4}{9}

Take LCM and solve

\sin^2(\theta)  = \frac{9 -4}{9}

\sin^2(\theta)  = \frac{5}{9}

Take the square roots of both sides

\sin(\theta)  = \±\frac{\sqrt 5}{3}

Sin is negative in quadrant III. So:

\sin(\theta)  = -\frac{\sqrt 5}{3}

Calculate \csc(\theta)

\csc(\theta) = \frac{1}{\sin(\theta)}

We have: \sin(\theta)  = -\frac{\sqrt 5}{3}

So:

\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}

\csc(\theta) = \frac{-3}{\sqrt 5}

Rationalize

\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}

\csc(\theta) = \frac{-3\sqrt 5}{5}

So, we have:

\tan(\theta) \cdot \cot(\theta) + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)

Substitute: \csc(\theta) = \frac{-3\sqrt 5}{5}

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}

Take LCM

\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}

6 0
3 years ago
Other questions:
  • Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?
    5·1 answer
  • How can i change 12/15 into decimal
    13·2 answers
  • Find the first,fourth,and eighth term of the sequence A(n)=-3x2 ^n-1
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=1%20%5Ctimes%201" id="TexFormula1" title="1 \times 1" alt="1 \times 1" align="absmiddle" class
    7·2 answers
  • What is 59.36 Repeated as a fraction
    7·1 answer
  • Can someone help me<br> Please
    11·1 answer
  • Carly commutes to work, and her commute time is dependent on the weather. When the weather is good, the distribution of her comm
    13·2 answers
  • im stupid. honestly. just help me pls. this is probably really easy but i aint done any maths in over a month so ion remember ho
    9·2 answers
  • If the measure of a central angle is 28°, then to find the measure of its arc, you would need to do which of the following?
    11·2 answers
  • Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!