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
STALIN [3.7K]
2 years ago
6

If anyone know how to solve this please help!!

Mathematics
2 answers:
Goshia [24]2 years ago
7 0

Answer:

Area=18ft^3 Surface Area=44ft^2

Step-by-step explanation:

The formula for area of a rectangular prism is A=lwh. So you just plus that in

hodyreva [135]2 years ago
5 0

Answer:

Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space

Step-by-step explanation:

Please see attached explanations.

Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.

Volume is the length multiplied by the width multiplied by the height.

By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.

You might be interested in
Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1
Lisa [10]

Answer:

111

I'm pretty sure

Step-by-step explanation:

3 0
3 years ago
Need help question #1. Show steps please
SSSSS [86.1K]

Answer:

C

Step-by-step explanation:

We want to integrate:

\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

u=4x^5+15x+2

By differentiating both sides with respect to x:

\displaystyle \frac{du}{dx}=20x^4+15

We can "multiply" both sides by dx:

du=20x^4+15\,dx

And divide both sides by 5:

\displaystyle \frac{1}{5}\, du=4x^4+3\,dx

Rewriting our original integral yields:

\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)

Substitute:

\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)

Simplify:

\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du

This is a common integral:

\displaystyle =\frac{1}{5}\ln|u|

Back-substitute. Of course, we need the constant of integration:

\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C

Our answer is C.

4 0
3 years ago
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter
tresset_1 [31]

Answer:

For a triangle with <em>a</em> = 33, <em>c</em> = 48 and the angle \alpha=33^o, the missing side is <em>b = </em>60.4, and the missing angles are \beta=94.6^oand \gamma = 52.4^o.

Step-by-step explanation:

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle, not just right triangles.

                                            \frac{\sin\alpha}{a} = \frac{\cos\beta}{b} = \frac{cos\gamma}{c}

We know two sides <em>a</em> = 33, <em>c</em> = 48 and the angle \alpha=33^o, so we use the law of sines to find the angle \gamma as follows:

\frac{ 33 }{ \sin(33^o) } =\frac{ 48 }{ \sin(\gamma) }\\\\\sin(\gamma) \cdot 33 = 48 \cdot \sin(33^o)\\\sin(\gamma) \cdot 33 = 48 \cdot 0.5446\\\sin(\gamma) \cdot 33 = 26.1427\\\sin( \gamma ) = 0.7922\\\gamma = 52.4^o

One of the basic properties of triangles is that the sum of the measure of angles, in every triangle, is 180°.

So,

180=\alpha+\beta+\gamma\\180=33+\beta+52.4\\\beta+85.4=180\\\beta=94.6^o

To find the side <em>b</em> we use the law of sines:

\frac{ 33 }{ \sin(33^o) } =\frac{ b }{ \sin(94.6^o) }\\\\b=\frac{33\sin \left(94.6^{\circ \:}\right)}{\sin \left(33^{\circ \:}\right)}\\\\b=60.4

7 0
4 years ago
I really need your help
borishaifa [10]
Okay I can’t see the pic…
3 0
3 years ago
Read 2 more answers
Mary Jane is organizing her CDs. Each CD case has an area of 16 in2. The height of a stack is 5 inches. What is the volume of a
IrinaVladis [17]
80 in2 because the volume is area x height and 16x2 is 80, so 80 in2. Hope this helps
8 0
3 years ago
Other questions:
  • The market bought grapes for $0.87 a pound and sold them for $1.09 a pound. What is the percent of increase rounded to the neare
    8·2 answers
  • 16y + 0 = 16y
    8·1 answer
  • The ratio of cups of water to cups of milk in a recipe is 1 to 3
    14·1 answer
  • How many solutions does the system have ? 20x - 5y = 5 4x - y = 1
    9·2 answers
  • What is the Order of Magnitude of the number of minutes in a school day?
    15·1 answer
  • Jamal can run 1 mile in 5.05 minutes. If Jamal maintains this pace during a 5- kilometer race, he expects to brake the course re
    13·1 answer
  • In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. i.Radhika answered
    15·1 answer
  • Please help me on this
    5·1 answer
  • Circuit Training If sin0 =1 and 0 &lt;0&lt; π find 0.
    8·1 answer
  • −1/3−(−1/2)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!