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
cricket20 [7]
2 years ago
6

What is the total volume of the piece of cake?

Mathematics
1 answer:
bearhunter [10]2 years ago
4 0

Answer:

The answer is 540^3

Step-by-step explanation:

The height is 6

base 1 or a is 10

base 2 or b is 18

base 3 or c is 20.59 (use Pythagorean theorem)

You might be interested in
8. The area of the bigger square at the picture is 32. What is the area of
Karolina [17]

Answer:

16 is the awnser or at least I belive

8 0
3 years ago
A rectangular vegetable garden will have a width that is 4 feet less than the length and an area of 140 square feet if x represe
k0ka [10]
X times parentheses x minus 4 equals 140
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5C%200%7D%20%5Cfrac%7B%5Csqrt%7Bcos2x%7D-%5Csqrt%5B3%5D%7Bcos3x%7D%20%7D%7
salantis [7]

Answer:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{1}{2}

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                                     \displaystyle \lim_{x \to c} x = c

L'Hopital's Rule

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

We are given the limit:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)}

When we directly plug in <em>x</em> = 0, we see that we would have an indeterminate form:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \frac{0}{0}

This tells us we need to use L'Hoptial's Rule. Let's differentiate the limit:

\displaystyle  \lim_{x \to 0} \frac{\sqrt{cos(2x)} - \sqrt[3]{cos(3x)}}{sin(x^2)} = \displaystyle  \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)}

Plugging in <em>x</em> = 0 again, we would get:

\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \frac{0}{0}

Since we reached another indeterminate form, let's apply L'Hoptial's Rule again:

\displaystyle \lim_{x \to 0} \frac{\frac{-sin(2x)}{\sqrt{cos(2x)}} + \frac{sin(3x)}{[cos(3x)]^{\frac{2}{3}}}}{2xcos(x^2)} = \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)}

Substitute in <em>x</em> = 0 once more:

\displaystyle \lim_{x \to 0} \frac{\frac{-[cos^2(2x) + 1]}{[cos(2x)]^{\frac{2}{3}}} + \frac{cos^2(3x) + 2}{[cos(3x)]^{\frac{5}{3}}}}{2cos(x^2) - 4x^2sin(x^2)} = \frac{1}{2}

And we have our final answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

6 0
3 years ago
Name the quadrilateral based on the markings.
erica [24]

Answer:

Square

Step-by-step explanation:

All sides are the same, based on the "ticks" / markings

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
Read 2 more answers
I have 3 sets of some unknown amount of apples and 2 oranges m. I have a total of 15 pieces of fruit, how many apples do I have?
insens350 [35]
I think it's 5? but I'm not sure
3 0
3 years ago
Other questions:
  • Find the gradient of the line segment between the points N(-1,2) and M(-6,3)​
    8·1 answer
  • Which equation is a direct variation function? A) y = x B) y = (1/4)x + 2 C) y = x^2 D) y = 4
    6·1 answer
  • 92.6 % of 103.93 km Give your answer rounded to 2 DP.
    8·1 answer
  • PLEASE HELP ALGEBRA 2!!
    9·1 answer
  • The number part when a number and a variable are multiplied together in a term is called the _____.
    8·1 answer
  • Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?
    7·1 answer
  • Could someone please help me with this question
    15·2 answers
  • • Amount borrowed<br> $28,000<br> For 5 years at 6% what is te interest
    6·1 answer
  • Does -2(11-12x)=-4(1-6x) does it have one solution or no solution or many solutions
    6·1 answer
  • Find the value of x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!