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dem82 [27]
3 years ago
7

What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tent

h.
Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Answer:

2299 in^2

Step-by-step explanation:

The formula for the volume of a square pyramid of base A and height h is

V = (A)(h).

Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in.  The area of a square of side s is A = s^2, so we have:

Here, V = (11 in)^2 * (19 in) = 2299 in^2

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PLS HELP!
ELEN [110]

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

=========================================================

Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

---------

The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.

7 0
2 years ago
Round 92.471 to the nearest tenth
olga55 [171]
The answer would be 92.5.

The 4 is the tenth
The 7 is the hundredth
The 1 is the thousandth
3 0
3 years ago
Read 2 more answers
The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4
prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

a(l) = \frac 12 l^2

When l = 1, we have:

a(1) = \frac 12 \times 1^2

a(1) = 0.5

When l = 2, we have:

a(2) = \frac 12 \times 2^2

a(2) = 2.0

When l = 3, we have:

a(3) = \frac 12 \times 3^2

a(3) = 4.5

When l = 4, we have:

a(4) = \frac 12 \times 4^2

a(4) = 8.0

Represent the above results as a table, we have:

<u>l          a(l)</u>

1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

brainly.com/question/13136492

8 0
2 years ago
Select the assumption necessary to start an indirect proof of the statement. If 3a+7 &lt; 28, then a&lt;7.
pashok25 [27]
When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.

In our case we assume a is not smaller than 7, that is we assume a≥7.

a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:

3a+7≥28,

which is a contradiction because 3a+7 is smaller than 28.

So our assumption is wrong, which means the opposite of it is correct.


Answer: assume a≥7
7 0
3 years ago
Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

8 0
3 years ago
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