We are given an angle of 60° and a side of 15 cm.
We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.
sin = opp/hyp
hyp = 15 / sin 60
hyp = 17.32...
//
We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.
tan = opp/adj
adj = 15 / tan 60
adj = 8.660.....
8.660....² + 15² = 300²
since the square root of 300 is an irrational number, we have to turn it into a mixed radical.
The answer would be the top one.
Um thanks for the free points but ok .-.
Answer:
<h2>48</h2>
Step-by-step explanation:
(1)
apple × apple × 2apple = 54
2apple³ = 54 <em>divide both sides by 2</em>
apple³ = 27 → apple = ∛27
apple = 3
(2)
apple + apple × green_apple = 24 <em>substituite apple = 3</em>
3 + 3 × green_apple = 24 <em>subtract 3 from both sides</em>
3 × green_apple = 21 <em>divide both sides by 3</em>
green_apple = 7
(3)
strawberry - bannana - banana = 0 → strawberry = 2banana
(4)
strawberry + banana + cherry = 24 <em>substitute from (3)</em>
2banana + banana + cherry = 24
3banana + cherry = 24
(5)
apple + banana - cherry = -1 <em>substitute apple = 3</em>
3 + banana - cherry = -1 <em>subtr3 from both sides</em>
banana - cherry = -4
Add both sides of (4) and (5)
3banana + cherry = 24
<u>+banana - cherry = -4 </u>
4banana = 20 <em>divide both sides by 4</em>
banana = 5
Substitute it to (4):
3(5) + cherry = 24
15 + cherry = 24 <em>subtract 15 from both sides</em>
cherry = 9
Substitute to the last equation:
3 + 5 × 9 = 3 + 45 = 48
/USED PEMDAS/
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula: ![\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20A%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Bf%28x%29%20-%20g%28x%29%5D%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:

- [Integral] Rewrite [Integration Property - Addition/Subtraction]:

- [Integrals] Rewrite [Integration Property - Multiplied Constant]:

- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:

- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

- Simplify:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e