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
TEA [102]
3 years ago
8

A large concrete block is used for the cornerstone

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

The volume of the concrete needed to make the block is 5054 ft³

Step-by-step explanation:

The question relate to the calculation of the volume of a shape

The dimensions of the block are;

The depth of the block, d = 19 ft.

The width of the block, w = 19 ft.

The length of the block, l = 14 ft.

The volume of a cube, V = Length, l × Width, w × Depth, d

Therefore, the volume, 'V' of a cubic block is given as follows;

V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³

The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.

You might be interested in
Is it<br> A. 10 <br> B.-9<br> C.3 <br> D.6
elixir [45]

Answer:

  C. 3

Step-by-step explanation:

You know the angle sum is ...

  ∠FGT +∠TGH = ∠FGH

You can use this relation with the given values to find x.

 90 + (8x +4) = 39x +1

  93 = 31x . . . . . . . . . . . . . add -1-8x, collect terms

  3 = x . . . . . . . . . . . . . . . . divide by 31

8 0
3 years ago
Read 2 more answers
Total blood cholesterol level was measured for each of
laiz [17]
<h3>Answer: Mean = 218.9.</h3><h3>Median = 229</h3><h3>Mode = Zero mode.</h3>

Step-by-step explanation:

Given blood cholesterol level was measured for each of 8 adults (in mg/dL) are:

264, 191, 160, 148, 262, 212, 268, 246

In order to find the mean, we need to add all those 8 numbers and divide by 8.

Therefore, mean = \frac{264+191+160+148+262+212+268+246}{8} =\frac{1751}{8} =218.9.

<h3>Mean = 218.9.</h3>

In order to find the median, we need to arrange them in ascending order:

148, 160, 191, 212, 246, 262, 264, 268.

The middle most two values are 212 and  246.

Therefore, median = \frac{212+246}{2} =\frac{458}{2} = 229.

<h3>Median = 229.</h3>

\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}

\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}

\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}

\begin{pmatrix}148&160&191&212&246&262&264&268\\ 1&1&1&1&1&1&1&1\end{pmatrix}

\mathrm{The\:most\:common\:element\:is\:not\:unique,\:so\:there\:is\:no\:mode}

<h3>Therefore, Mode = Zero mode.</h3>
5 0
3 years ago
What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
Read 2 more answers
One plus the product of a number y and three
slamgirl [31]
(yX3)+1 because product means multipy
8 0
3 years ago
Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synt
Marat540 [252]

The factors of a polynomial function are the zeros of the function

It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

<h3>How to show why the x - 3 is a factor</h3>

The function is given as:

m(x) = x^3 - x^2 - 5x - 3

The factor is given as:

x - 3

Set the factor to 0

x - 3 = 0

Solve for x

x = 3

Substitute 3 for x in the function

m(3) = 3^3 - 3^2 - 5(3) - 3

Evaluate

m(3) =0

Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

Read more about factors at:

brainly.com/question/11579257

7 0
3 years ago
Other questions:
  • Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
    15·1 answer
  • Look at the following numbers: −3, −1, 0, 3 Which pair of numbers has a sum of 0? (5 points) 0, −1 −3, 3 −1, 3 −1, 0
    13·1 answer
  • What is 30 times 509
    10·2 answers
  • Find the slope of the given points(3,4) and(7,-4
    10·1 answer
  • What is the equation of the circle with center (–2, 5) that passes through the point (–3, 8)?
    10·1 answer
  • Which size can of green beans shown in the table has the lowest unit price? ​
    5·2 answers
  • 4 1/6 times 2 2/9 in simplest terms
    8·1 answer
  • Can someone help me please
    11·1 answer
  • PLZZ HELP I wiLL GIVE U BRAINLIESt<br><br> What is the slope of the line on the graph?
    6·1 answer
  • The volume of a cylinder is 768 N in³. Find the radius of the cylinder (in inches) if the height is 3 in
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!