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Arada [10]
3 years ago
15

Find the slant height of this square pyramid.

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0

Answer:

3\sqrt{3}

Step-by-step explanation:

On the attached diagram, the slant height is denoted as s. In your case, the height s is the height of the equilateral  triangle with side 6.

The height of the equilateral triangle with side a can be calculated as

s=\dfrac{a\sqrt{3}}{2}.

Thus,

s=\dfrac{6\sqrt{3}}{2}=3\sqrt{3}.

Serga [27]3 years ago
3 0

Answer:

<h2>3√3 in</h2>

Step-by-step explanation:

The lateral side is the equilateral triangle.

The formula of a height of an equilateral triangle with the sides <em>a</em>

h=\dfrac{a\sqrt3}{2}

We have <em>a = 6 in</em>.

Substitute:

h=\dfrac{6\sqrt3}{2}=3\sqrt3

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Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 ? 9x2 ? 108x + 2, [?3, 4]
SVEN [57.7K]
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints

take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3

test entpoints

f(-3)=83
f(-2)=134
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f(4)=-190

the min is at x=3 and max is at x=-2
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3 years ago
The scale of a map says that 6 cm represents 15 km.
atroni [7]
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3 years ago
There are x number of students at helms. If the number of students increases by 7.8% each year, how many students will be there
vodomira [7]

There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x

<h3><u>Solution:</u></h3>

Given, There are "x" number of students at helms.  

The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x

Number of students in next year = number of students in present year + increased number of students.

\begin{array}{l}{\text { Number of students in next year }=x+7.8 \% \text { of } x} \\\\ {\text { Number of students in next year }=x\left(1+\frac{7.8}{100}\right)} \\\\ {\text { Number of students in next year }=x(1+0.078)=1.078 x}\end{array}

Thus there will be 1.078x students in next year

3 0
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iren2701 [21]

Answer:

Answer is 3

Step-by-step explanation:

x/3-2x/1+3 =x-3/5

x/3-x/3 = x-3/5

0=x-3/5

0=x-3

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sothat, x = 3 ans

3 0
3 years ago
The width rectangle is 43 centimeters The perimeter is at least 198 cm let the length of the rectangle be /.
AnnyKZ [126]

Answer:

198/43

Step-by-step explanation:

4 0
3 years ago
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