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vladimir2022 [97]
3 years ago
11

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?
Mathematics
2 answers:
8_murik_8 [283]3 years ago
3 0
Volume of pyramid:

V= \dfrac{1}{3} \cdot A \cdot H

A - base area
H - height

First count volume of one pyramid:

V=\dfrac{1}{3} \cdot 3 \cdot 4=4 [\hbox{inch}^3]

So by using 576 inch^3 you can make 576 : 4 = 144 pyramids
LekaFEV [45]3 years ago
3 0

Answer:

144

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest :)

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shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral obtuse triangle. describe her
kolezko [41]
Equilateral means that the 3 sides are equal length. For this to happen, the triangle needs to also have 3 equal angles, but it is mentionned that it has an obtus angle, therefore, not all angles are the same, meaning the 3 sides also aren't equivalent.

the triangle isn't equilateral
4 0
3 years ago
The base diameter and the height of a cone are both<br> equal to x units.
Vera_Pavlovna [14]

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

6 0
2 years ago
Angle UZT is congruent to angle
ss7ja [257]
There is not enough information
8 0
3 years ago
Use set notation to denote the elements, subsets, and complements of the following given sets.
vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

<u>We are given with the following details:</u>

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

<u>To write:</u> The set notation for the elements of set N.

<u>Solution:</u>

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the <em>answer will be N = {13,15,17,19}.</em>

<em></em>

7 0
2 years ago
Nikki has $1100 and spends $35 per week. Mich has $520 and saves $55 per week. In about how many weeks, will Nikki and Micah hav
Rashid [163]

Answer:

6 weeks

Step-by-step explanation:

Given that :

Nikki :

Initial amount = $1100 ;

Amount spent per week = $35

Mich:

Initial amount = $520

Amount saved per week = $55

Number of weeks they'll both have the same amount :

Let number of weeks = w

For Nikki who is spending :

1100 - 35w - - - (1)

For Mich who is saving :

520 + 55w - - - (2)

Equate (1) and (2)

1100 - 35w = 520 + 55w

1100 - 520 = 55w + 35w

580 = 90w

w = 580 / 90

w = 6.444

About 6 weeks

5 0
2 years ago
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