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
maw [93]
3 years ago
6

Help, please explain in detail how you answer number 2

Mathematics
2 answers:
timurjin [86]3 years ago
7 0

Answer:

Step-by-step explanation:

height=√(4^2-2^2)=√(16-4)=√12=2√3

area of base=1/2×base×height=1/2×4×2√3=4√3

volume of prism=base area×height=4√3×8=32√3 cm³

TEA [102]3 years ago
4 0

Answer:

Correct answer:  V = 55.36 cm³

Step-by-step explanation:

Given:

a = 4 cm  edge of the bases

H = 8 cm  the height of the prism

Area of the base is equilateral triangle which area is:

B = a² · √3 / 4 = 4² · 1.73 / 4 = 16 · 1.73 / 4 = 6.92 cm²

Volume of the prism is:

V = B · H = 6.92 · 8 = 55.36 cm³

V = 55.36 cm³

God is with you!!!

You might be interested in
The area of a square can be represented by the trinomial 9x^2 - 54x + 81. Which of the following is the length of one side of th
Mnenie [13.5K]

Use\ (a-b)^2=a^2-2ab+b^2\\\\9x^2-54x+81=\underbrace{(3x)^2-2(3x)(9)+9^2}_{(*)}=(3x+9)^2\\\\\text{The formula of an area of a square with a side x:}\ A=x^2.\\\\\text{Therefore we have answer:}\ The\ length\ of\ side\ of\ the\ square\ is\ 3x+9.

3 0
4 years ago
Find the factors of -8 that add to -7
Vedmedyk [2.9K]

Answer:

1 and -8

Step-by-step explanation:

1 + (-8) = 1 - 8 = -7

3 0
3 years ago
The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was
wlad13 [49]

Answer:

  • P = -390t +48,000
  • P = 43,710 in 2003

Step-by-step explanation:

A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (44880 -48000)/(8 -0)(t -0) +48000

  P = -3120/8t +48000

  P = -390t +48000

__

B) In 2003, t = 11, so we have ...

  P = -390(11) +48000 = 43710

The population in 2003 is predicted to be 43,710.

7 0
4 years ago
A submarine descends 45 1/2 feet from the ocean surface, clinbs 39 ft, and then descends an additional 18 3/4 ft. What must the
tekilochka [14]
The answer is fill its tanks with air so it floats to the top, but I will solve for the distance since I am nice

so we do
decent means negative
cimb=positive
add

decends 45 and 1/2
-45 and 1/2

climbs 39
+39

decedns 18 and 3/4
-18 and 3/4

add
-45 and 1/2+39-18 and 3/4
add
convert 1/2 to 2/4
gropu negatives
-45 and 2/4-18 and 3/4+39
add
-63 and 5/4+39
-64 and 1/4+39
-25 and 1/4
that is how far dow the submarine is
so the submarine needs to gu 25 and 1/4 ft up to reach the csurface
7 0
3 years ago
Breadth
Stolb23 [73]

Answer:

Volume of a cuboid = (length × breadth × height) cubic units.

= (l × b × h) cubic units.

(Since area = ℓ × b)

Volume of a cuboid = area of one surface × height cubic units

Let us look at the given cuboid.

The length of the cuboid = 5 cm

The breadth of the cuboid = 3 cm

The height of cuboid (thickness) = 2 cm

The number of 1 cm cubes in the given cuboid = 30 cubes = 5 × 3 × 2

We find that volume of the given cuboid with length 5 cm, breadth 3 cm and height 2 cm is 30 cu cm.

6 0
3 years ago
Other questions:
  • The cost of attending Ray's is C(r) = $4.00 + $1.50r and depends on a flat charge and then a charge for each ride, r. What is th
    12·1 answer
  • Graph the piecewise function (20 points!)<br> (image provided below)
    10·1 answer
  • **please help brainliest best answer* Suppose the total market potential for MP3 players in Middletown is estimated at $150,000
    13·1 answer
  • Which expression shows how to find the number of students that play each instrument. How many students play the clarinet?
    13·2 answers
  • Select the two binomals that are factors of this trinomial x^2+8x+12
    7·1 answer
  • Lois has five blue plates and ten red plates what percent of her plate collection is blue
    9·1 answer
  • Simplify (2x + 3)(x – 4) = ?
    11·1 answer
  • Circle X is shown in the diagram.
    9·2 answers
  • What is the solution to the equation?<br> Pls help ASAP
    9·1 answer
  • The slope of the line that contains the points (-2, 10) and (3, -5) is -3. What is the y-intercept?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!