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
vova2212 [387]
3 years ago
5

Find the volume of the prism. round to the nearest tenth

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

V = 310.5 cm³

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Prism Formula: V = lwh

  • <em>l</em> is length
  • <em>w</em> is width
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>l</em> = 13.8 cm

<em>w</em> = 4.5 cm

<em>h</em> = 5 cm

<u>Step 2: Solve for </u><em><u>V</u></em>

  1. Substitute in variables [Volume of a Prism Formula]:                                    V = (13.8 cm)(4.5 cm)(5 cm)
  2. Multiply:                                                                                                             V = (62.1 cm²)(5 cm)
  3. Multiply:                                                                                                             V = 310.5 cm³
You might be interested in
Solve:<br><br> p + 6 = 23<br> A. p = 17<br> B. p = 14<br> C. p = 13<br> D. p = 12
MAXImum [283]

Answer:

A) 17

Step-by-step explanation:

p=23-6

p=17

Hope I helped!

6 0
3 years ago
Given the function defined in the table below, find the average rate of
AURORKA [14]

Answer:

Average rate of change = \frac{2}{5}

Step-by-step explanation:

Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

We have to find the average rate of change in the interval 20 ≤ x ≤ 65

From the table attached,

f(65) = 32

f(20) = 14

Average rate of change = \frac{32-14}{65-20}

                                        = \frac{18}{45}

                                        = \frac{2}{5}

Therefore, average rate of change in the given interval is \frac{2}{5} .

7 0
3 years ago
This has to do with reading graphs and words per page
HACTEHA [7]

Answer:

idont konw but ask google

Step-by-step explanation:

57898765432345678909876543jgfhjfghjfhgjfgj

3 0
3 years ago
If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))
4vir4ik [10]

Answer:

Step-by-step explanation:

g(f(x)) =  g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

4 0
3 years ago
A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
Other questions:
  • For a field trip 29 students rode in cars V
    6·1 answer
  • Write a multiplication problem using two decimals that has a product greater than 0.1 but less than 0.2
    8·1 answer
  • Please show work! Thank you
    14·1 answer
  • A manufacturer is running an experiment using the standard (control) infant formula, and two new formulas, A and B. The goal is
    5·1 answer
  • Cot^2 x- 6cotx - 5=0
    14·1 answer
  • What is the mean of the set of numbers? –12, –4, 3, 7, 11
    5·2 answers
  • A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough
    10·1 answer
  • What expression is equivalent to h + 5 + 3 - 2h​
    7·1 answer
  • More slope pls helpppppp
    9·2 answers
  • What is 1/10 of 0.04 is it 0.4 0.004 0.001 or 0.1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!