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
FromTheMoon [43]
3 years ago
6

Mr. Erickson will be living in the forest

Mathematics
1 answer:
aliina [53]3 years ago
7 0

<em />\huge{\boxed{60\ \text{ft}^{3}}}<em />

<em>We will assume the tent is in the shape of a triangular prism.</em>

The volume of a triangular prism can be found with the following formula, where b is the width at the base, h is the height, and l is the length.

V=\frac{1}{2}bhl

Substitute in the known values.

V=\frac{1}{2}*5*3*8

Simplify — use multiplication.

V=\frac{5}{2}*3*8

V=\frac{15}{2}*8

V=\frac{120}{2}

Simplify — use division.

V=\large{\boxed{60\ \text{ft}^{3}}}

The volume — or in this case, the amount of living space — is 60\ \text{cubic feet}.

You might be interested in
4 days =____ hours<br><br><br> ????????????????????????
Dominik [7]

4 days = 96 hours.......

5 0
3 years ago
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

__

b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

__

c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

6 0
3 years ago
Is my answer right ? <br><br><br> Pls answer me. <br><br><br> Graphing in slope-intercept form.
saul85 [17]

No.

Step-by-step explanation:

It starts at the bottom (remember if you learned run, then take off to fly.) then the end is longer and higher.

7 0
3 years ago
A right triangle has sides of length 3, 4, and .
olchik [2.2K]

Answer:

5/hypotenuse, the square root of 7/ leg

Step-by-step explanation:

3^2+4^2=25 or 5^2. you use a^2+b^2=c^2. it would be one of the hypotenuses. If the missing number is a leg, you would do 4^2=3^2+x^2. 16=9+x^2, 7=x^2, so you plug in the numbers differently.

3 0
3 years ago
Read 2 more answers
What is the approximate surface area of the sphere if circumference is 37.68?
damaskus [11]

The surface area of a sphere is  A = 4 π R² .

Sadly, the question doesn't give you 'R', so you have to
back it out of the circumference.

                           Circumference = π (diameter)

Divide each side by π :  Diameter = circumference / π

Radius = 1/2 diameter:  Radius = circumference / (2 π)

                                       Area = 4 π R²  =

                                                 4 π (circumference/2π)² =

                                                 4 π (circumference)² / 4 π²

Divide top and bottom by  4π :  Area = (Circumference)² / π

         Circumference = 37.68 units

         Area =  (37.68)² square units /π =
    
                       <em>451.93 square units</em>


8 0
2 years ago
Other questions:
  • Tamara and Amir shared a candy bar. Tamara ate two fifths. Amir ate two fifths. How much is left?
    15·1 answer
  • A magazine article conducted a survey of 525 people in New York City and found that 30% of the population believe that the Yanke
    11·1 answer
  • Triangle ABC is dilated from point O. What is the scale factor if |OA| = 2 and |OA’| = 7?
    10·1 answer
  • Which statement is true? HELP!
    7·1 answer
  • B / 9 - 9 = 14<br> what is the value of b?
    15·1 answer
  • What's <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B33%20%2B%209%20-%206%7D%20" id="TexFormula1" title=" \sqrt{33 + 9 - 6}
    6·2 answers
  • In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.
    12·1 answer
  • What is the slope that passes points (1,7) and (2,-4)​
    12·2 answers
  • Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression show
    8·2 answers
  • Part II. Find x.<br> Gx-56<br> x + 10<br> What kinds of angles are these?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!