Answer:
A. 34°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Opposite leg AC = 24
Adjacent leg CB = 35
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Tangent]:
![\displaystyle tanx^\circ = \frac{24}{35}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20tanx%5E%5Ccirc%20%3D%20%5Cfrac%7B24%7D%7B35%7D)
- Inverse Trig [Tangent]:
![\displaystyle x^\circ = tan^{-1}(\frac{24}{35})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E%5Ccirc%20%3D%20tan%5E%7B-1%7D%28%5Cfrac%7B24%7D%7B35%7D%29)
- Evaluate:
![\displaystyle x = 34.439^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2034.439%5E%5Ccirc)
- Round:
![\displaystyle x \approx 34^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%2034%5E%5Ccirc)
Faucet one fills up
![\frac{1}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%20)
of the bathtub in one minute and faucet two fills up
![\frac{1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B10%7D%20)
of the bathtub in one minute. If both are one then they will fill up
![\frac{1}{15}+ \frac{1}{10} = \frac{5}{30} = \frac{1}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%2B%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%20%5Cfrac%7B5%7D%7B30%7D%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20%20%20%20)
So, 1/6 of the bathtub in one minute.
It is impossible to solve for 2 unknown variables in an equation. In order to solve this, you must think mentally.
What two numbers can you add to make 22?
A good example is 15 and 8.
Can 15 and 8 be divided into smaller numbers?
Yes.
15/3 = 5
8/2 = 4
^
Notice how I'm dividing by the coefficient? *3*c and *2*f
So C can be 5 and F can be 4.
3(5) + 2(4) = 22
15 + 8 = 22
22 = 22
Answer:
10 legs
Step-by-step explanation:
4 legs- bed
2 legs- you
4 legs- chair
Please give me brainless
No no no no no no no no no