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
9966 [12]
3 years ago
13

-2

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

It would be the 2nd one

Step-by-step explanation:

You might be interested in
What kind of triangle has 105 degress?
Black_prince [1.1K]

Answer:

obtuse angled triangle

7 0
2 years ago
A flare is launched from a life raft with an initial upward velocity of 192 feet per second. How many seconds will it take for t
AVprozaik [17]
So you want height to be 0 so you plug zero into the height and solve from there. You subtract 192 from both sides to get -192=-16tsquared. Then you would divide by -16 and end up with 12 = t^2. Then you find the square root of 12 and get t = 3.464 seconds.
7 0
3 years ago
Please help, would be greatful :)
tankabanditka [31]

Answer:

x ≈ 25.5°

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = <em>x</em>°

Opposite Leg = 10

Hypotenuse = 21

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

  1. Substitute [tangent]:                    tanx° = 10/21
  2. Inverse trig:                                  x° = tan⁻¹(10/21)
  3. Evaluate:                                      x = 25.4633°
  4. Round:                                          x ≈ 25.5°
8 0
2 years ago
Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
ZanzabumX [31]

Answer:

  cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

__

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

<h3>Rectangular Prism</h3>

The relevant formulas are ...

  V = LWH

  A = 2(LW +H(L +W))

for length L, width W, and height H.

<u>a)</u><u> prism 1</u>

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

  V = (8 in)(8 in)(5 in) = 320 in³

  A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

<u>b)</u><u> prism 2</u>

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

  V = (10 in)(8 in)(4 in) = 320 in³

  A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

__

<h3>Cylinder</h3>

The relevant formulas are ...

  V = πr²h

  A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

  V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

  A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

__

<h3>Square Pyramid</h3>

The relevant formulas are ...

  V = 1/3s²h

  A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

  V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

  A = (10 in)(10 in + 2×14 in) = 380 in²

__

<h3>Summary</h3>

The proposed figures have volume and area (rounded to the nearest unit) as follows:

  \begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}

The proposed <em>cylinder</em> requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

<em>Additional comment</em>

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

3 0
1 year ago
Shania’s workout playlist includes songs from four types of music. ● 32 country songs ● 48 rap songs ● 12 hip-hop songs ● 8 blue
nikitadnepr [17]

Answer:

Hi there

Step-by-step explanation:

What exactly is the question being asked?

5 0
2 years ago
Other questions:
  • Hello..
    12·1 answer
  • H(x)=16-x, when x= -4​
    14·1 answer
  • There are 1600 students in school.47.5% are male.how many are female
    8·1 answer
  • Ernest and Gene have been saving coins every day for a sunny day in Arizona. Ernest has 8 more half dollars than Gene and no qua
    9·1 answer
  • Emplify each p<br>(x + 3)(x + 8)​
    13·1 answer
  • Plz help asap I've been trying to figure it out ​
    13·1 answer
  • A recipe for Potato Soup is listed below:
    15·1 answer
  • Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
    10·1 answer
  • What is the value of the expression -7 × 5.4? Record your answer in the grid. Be sure to use correct place value
    10·1 answer
  • What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!