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SCORPION-xisa [38]
2 years ago
14

A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

<h3>What is a square pyramid?</h3>

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

We have a square pyramid.

Length of the pyramid = 23.4 in

The slant height of the pyramid = 93.2 in

From the figure:

Base length CB  = DC = 23.4 in

In a right-angled triangle, BCD

Applying Pythagoras theorem:

DC² + CB² = DB²

23.4² + 23.4² = DB²

DB = 33.092 in

OB = (1/2)DB

OB = (1/2)33.092 = 16.546 in

In the right-angle triangle AOB, again applying Pythagoras theorem:

AO² + OB² = AB²

h² + 16.546² = 93.2²

AO = h (height of the square pyramid)

AB = slant height = 93.2 in

After calculating, we get:

h = 91.719 ≈ 91.72 in

Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

Learn more about the pyramid here:

brainly.com/question/13057463

#SPJ1

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What is the value of x?
charle [14.2K]
Hey Rireneb!

This is a pretty simple Geometry question, so I will explain it in-depth for you to understand clearly! What you have displayed in the image is an isosceles triangle, meaning that both base angles are congruent (to each other). You know that the angle opposite to the base is 93.5, so you can subtract that from 180 and get 180-93.5=86.5
So, your base angles must be equal AND equal 86.5 when added up. So you must do the following, 86.5/2, which would get you to the answer 43.35. So, 43.25 is the value of each base angle, meaning that x = 43.25. Finally, the most appropriate answer to your question would be option 2!

Hope I was able to help! If you need any more help, please let me know and I will further assist you.
3 0
3 years ago
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What's a real world problem involving a percent greater then 100%
AveGali [126]
Buying something that costs more than $1.00 can be an example.

8 0
3 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving AC &gt; EF
VARVARA [1.3K]

<em>Answer:</em>

Complete proof is written below.

Facts and explanation about the segments shown in question :

  1. As BC = EF is a given statement in the question
  2. AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
  3. AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
  4. AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.

Below is the complete proof of the observation given in the question:

<em />

<em>STATEMENT                              REASON  </em>

___________________________________________________

1. BC = EF                                    1. Given

2. AB + BC = AC                         2. Betweenness

3. AC > BC                                   3. Def. of segment inequality

4. AC > EF                                   4. Def. of congruent segments

<em />

<em>Keywords: statement, length, reason, proof</em>

<em> Learn more about proof from brainly.com/question/13005321</em>

<em> #learnwithBrainly</em>

4 0
3 years ago
HELP ME ASAP
MArishka [77]
1)

a.
60 ounces = 3 pounds

So no, you don’t have as much fruit as you need.

b.
60 ounces —> 3 pounds
X ounces —> 4 pounds

Cross product :

(60 x 4) / 3 —> 240/3 = 80

So in order to have 4 pounds of fruits, you need 80 ounces of fruits.

You already have 60 ounces of fruits.

X + 60 = 80

80 - 60 = X

20 = X

You need 20 more ounces to have 4 pounds of fruits.

:)
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3 years ago
HELPPP <br> what is the value of 6n-2 when n=3?<br><br><br> I BEG
ivann1987 [24]

Answer:

16

Step-by-step explanation:

If n = 3, just put the number 3 instead of n.

So:

6n-2 = 6 * 3 - 2 = 18 - 2 = 16

3 0
3 years ago
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