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ololo11 [35]
3 years ago
9

The slant height of a regular square pyramid is longer than its altitude.

Mathematics
2 answers:
andrezito [222]3 years ago
5 0
Always

Because the slant length is the longest length when looking at the Pythagoras theorm

In this case the slant is y, with x and y as the height and base
y²=x^{2}+y^{2}

Hence y the slant is the sum of the height and and base and will always be larger 
jonny [76]3 years ago
4 0
Always.  If you were to take the cross section it would be a triangle.  If you draw the altitude in, you get a right triangle.  The hypotenuse is always longer than a side, the slant always has to be bigger.  See the attachment for more information.
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If the perimeter of a square is 20, find the length of a diagonal
avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = \sqrt{50}

c = 7.071

to 3sf

<h3><u>diagonal length  = 7.07</u></h3>

6 0
3 years ago
What is the solution of |2x| = –4?
DENIUS [597]
-2x=-4 or x=2
2x =-4 or x=-2
7 0
3 years ago
Solve -10=4x show work please :D
RideAnS [48]

Answer:

-2.5 = x

Step-by-step explanation:

-10 = 4x

the equation between 4 and x is multiplication

as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x

Therefore,

-10 = 4x

-10/4 = x

Simplify into decimal if needed

-2.5 = x

Hope that helped!!! k

4 0
3 years ago
Read 2 more answers
Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to
ra1l [238]

Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

   

For a 95% confidence the level of significance is  \alpha  = [100 - 95]\% =  0.05 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }=  1.96

For a 90% confidence the level of significance is  \alpha  = [100 - 90]\% =  0.10 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }=  1.645

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

given that other values are constant and only Z_{\frac{\alpha }{2} } is varying we have that

         E\ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        \= x  - E  <  \mu <  \= x  + E

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

3 0
2 years ago
pyramid A has a volume of 60mm and pyramid B has a volume of 937.5mm what is the ratio of the heights
dexar [7]

Answer:I think 0.4

Step-by-step explanation: Hope this helps

3 0
1 year ago
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