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Burka [1]
3 years ago
5

A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

<h2>8m</h2>

Step-by-step explanation:

Volume of a square based pyramid = \frac{1}{3}a^{2}h where;

a² is the base area of the pyramid since it is square shaped

h is the slant height.

Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;

384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m

The slant height of the pyramid is 8m

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Naddika [18.5K]

Answer:

They started at 4:45 pm

Step-by-step explanation:

Time spend at the mall:

15 minutes in the shoe store

1 hour shopping for a dress

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Total 1 hour 45 minutes

x + 1 hour 45 minutes = 6:30

Subtract 1 hours

5 : 30 pm

Subtract 45 minutes

4 :45 pm

They started at 4:45 pm

8 0
3 years ago
Please help me with this
Lisa [10]
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426000*(1-0.26)^t, yearly
(0.74^(1/12))=0.74^0.083 monthly rate of decrease
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5 0
3 years ago
Read 2 more answers
What is the equation written in vertex from of a parabola with a vertex of (4, –2) that passes through (2, –14)?
vichka [17]

Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

We can use the vertex form of the quadratic equation:

y = a(x - h)² + k

Where:

(h, k) = vertex

a  =  determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.

  • <u>positive</u> value of a = opens <u><em>upward</em></u>
  • <u>negative</u> value of a = opens <u><em>downward</em></u>
  • a is between 0 and 1, (0 < a < 1) the graph is <u><em>wider</em></u> than the parent function.
  • a > 1, the graph is <u><em>narrower</em></u> than the parent function.

<em>h </em>=<em> </em>determines how far left or right the parent function is translated.

  • h = positive, the function is translated <em>h</em> units to the right.
  • h = negative, the function is translated |<em>h</em>| units to the left.

<em>k</em> determines how far up or down the parent function is translated.

  • k = positive: translate <em>k</em> units <u><em>up</em></u>.
  • k = negative, translate <em>k</em> units <u><em>down</em></u>.

Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

-14 = a(2 - 4)²  -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)

8 0
2 years ago
What is five to the -7th power times five to the <br> 12 power
leva [86]
5^-7 * 5^12

Because the base is the same, add the exponents.
5^ (-7+12)= 5^5

Final answer: 5^5, or 3125
5 0
3 years ago
Read 2 more answers
Is the one i picked right​
motikmotik
The arithmetic sequence formula should help you
An= A1+ (n-1)d or An= a + d(n−1)
An= the term that you want to find.
A1 = first term in the list of ordered numbers
n = the term position (ex: for 5th term, n = 5 )
d = common difference of any pair of consecutive or adjacent numbers
So, looking the 4 choices you have the only one that follow the sequence of the formula is C
I believe the one you choose is Fibonacci sequence.
There different number of sequences:
1- arithmetic sequence
2- geometry sequence
3- Fibonacci sequence
Each of that sequences have their own formula.
So, the answer it might be C
Hope that help you




The formula for the Arithmetic is:
An = A1 + F x ( n- 1)
I believe answer is C
Because the one you chose is
7 0
3 years ago
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