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3 years ago

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

2 answers:

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