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
AVprozaik [17]
3 years ago
11

Find the area of the triangle below.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

36 ft

Step-by-step explanation:

You might be interested in
What is the answer to f/3+4=8
Musya8 [376]

Answer:

so it would be f=36

Step-by-step explanation:

subtract 4 to the other side then multiply both sides by 3

4 0
3 years ago
The two-way frequency table shows the number of stores in two different cities. What is the percentage of retail stores in City
LuckyWell [14K]

Answer:

Answer: C.

Restaurants: 43%

Retail: 57%

Step-by-step explanation:

3 0
3 years ago
How do you find the surface area and volume of a cylinder ​
galina1969 [7]
<h2>Answer:</h2>

The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall. The formula for finding the area of a cylinder is A = 2πr2 + 2πrh.

<h2>Step-by-step explanation:</h2>
  • Surface area of a cylinder = 2πr 2 + 2πrh
  • Volume of a cylinder = πr 2 h
  • You need to know the radius and height to figure both the volume and surface area of a cylinder.
  • Answers for volume problems should always be in cubic units.
  • Answers for surface area problems should always be in square units.
5 0
2 years ago
Read 2 more answers
Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreas
o-na [289]
Answers:

(a) f is increasing at (-\infty,-2) \cup (2,\infty).

(b) f is decreasing at (-2,2).

(c) f is concave up at (2, \infty)

(d) f is concave down at (-\infty, 2)

Explanations:

(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that

f'(x) = 15x^2 - 60&#10;

So,

&#10;f'(x) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 15x^2 - 60 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \  0} \text{   (1)}

The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:

-->> x < -2
-->> -2 < x < 2
--->> x > 2

If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.

If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
 If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.

So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since

f'(x) \ \textgreater \  0 \Leftrightarrow (x - 2)(x + 2)  \ \textgreater \  0

Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at (-\infty,-2) \cup (2,\infty).

(b) f is decreasing only when the derivative of f is negative. Since

f'(x) = 15x^2 - 60

Using the similar computation in (a), 

f'(x) \ \textless \  \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \  0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \  0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \  0} \text{ (2)}

Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.

Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)

(c) f is concave up if and only if the second derivative of f is positive. Note that

f''(x) = 30x - 60

Since,

f''(x) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 30x - 60 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow 30(x - 2) \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow x - 2 \ \textgreater \  0&#10;\\&#10;\\ \Leftrightarrow \boxed{x \ \textgreater \  2}

Therefore, f is concave up at (2, \infty).

(d) Note that f is concave down if and only if the second derivative of f is negative. Since,

f''(x) = 30x - 60

Using the similar computation in (c), 

f''(x) \ \textless \  0 &#10;\\ \\ \Leftrightarrow 30x - 60 \ \textless \  0 &#10;\\ \\ \Leftrightarrow 30(x - 2) \ \textless \  0 &#10;\\ \\ \Leftrightarrow x - 2 \ \textless \  0 &#10;\\ \\ \Leftrightarrow \boxed{x \ \textless \  2}

Therefore, f is concave down at (-\infty, 2).
3 0
3 years ago
Zolox worked 38 hours last week. He had $88 deducted from his earnings for taxes. If he had $273 left after the deduction, how m
Virty [35]
273+88=361
361/38=9.5 
Zolox made $9.50 per hour
6 0
3 years ago
Read 2 more answers
Other questions:
  • Mr. Carter has 54 square tiles how should he arrange them so that he has the smallest perimeter? 9 x 6 rectangle 26 x 2 rectangl
    12·2 answers
  • Qual é a diferença entre as populações dos dois municípios mais populosos?
    8·1 answer
  • What is a supplementary angle
    13·2 answers
  • Solve the system of equations below by graphing.
    13·2 answers
  • Please help me. This is being times and I really need help
    7·1 answer
  • a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits of
    13·1 answer
  • What is the estimate of 2854 times 9
    13·2 answers
  • Does y=-x+5 have one solution, no solution, or infinite solutions?
    8·2 answers
  • 5. The number that is to be divided in a division problem is the<br> _______________
    10·2 answers
  • The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!