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4 years ago

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The base of a pyramid is a square whose perimeter is 936936 m. what is the length of each side of this square?

1 answer:

djverab [1.8K]4 years ago

8 0

936936 is the perimeter and perimeter of a square is 4 times the length of one of the sides. therefore, you divide 936936 by 4 and get your answer, which is 234234.

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A family is taking a picture, with everyone in the family standing in a row. In the family, there are two sets of twins. In how

Wittaler [7]

Answer:

376320.

Step-by-step explanation:

Given:

There are two sets of twins in a family.

Total family member = 9

Solution:

Let family members = AA BB C D E F G

<u>AA and BB are two set of twins .</u>

First of we will find the arrangements of 5 family member ( 9 - 4 = 5 )

No of ways 5 family member can seat = $^{5}P_{5}$

Now, we will find the arrangements of BB.

As given that nobody is sitting next to their twin, means A twins cannot seat together.

Therefore, they can seat in these blank places given below:

......B.......B......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Similarly, B twins cannot seat together.

Therefore, they can seat in these blank places given below:

......A.......A......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Total number of arrangements of all family members = $^{5}P_{5}$ $\times$ $^{8}P_{2}$ $\times$ $^{8}P_{2}$

$=\frac{5!}{5-5!} \times\frac{8!}{8-2!} \times\frac{8!}{8-2!}\\=\frac{5!}{0!}\times\frac{8!}{6!} \times\frac{8!}{6!}\\\\=5!\times\frac{8\times7\times6!}{6!} \frac{8\times7\times6!}{6!}$

$=5\times4\times3\times2\times1\times56\times56\\=376320$

Therefore, Total number of arrangements of all family members is 376320.

5 0

4 years ago

Plz help i need answer ASAP

Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3><u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>

The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Intercepts</u><u>:</u></h3>

<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.

There are two types of intercepts:

x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>

Each of their length is equal to their distance from the Origin(0, 0)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation of a line (intercept form):</u></h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

$\boxed{ \mathsf{ \frac{x}{a} + \frac{y}{b} = 1 }}$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>

x-intercept (a) = -1
y-intercept (b) = 2

$\implies \mathsf{ \frac{x}{( - 1)} + \frac{y}{2} = 1 }$

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

$\implies \mathsf{ - \frac{x}{1} + \frac{y}{2} = 1 }$

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

$\implies \mathsf{ \frac{ - 2x + y}{ 2} = 1 }$

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

$\implies \mathsf{ - 2x + y = 2 }$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<em>Isolating</em><em> </em><em>y</em><em>:</em>

<em> $\implies \mathsf{ \underline{ y = 2 + 2x }}$ </em>

That's the equation of the given line!

6 0

3 years ago

Please help me with my question I will like and mark as brainliest

lutik1710 [3]

Answer:

For 2a, we are completing the square (see the image below)

To find the stationary point (2b) you change the sign of the number inside the brackets and keep the number outside the same i.e (-2, 7)

Hope this helps!

6 0

3 years ago

F(x)=2x+4what's the inverse function

Nikitich [7]

To find the inverse, interchange the variables and solve for y
hope this helps!

3 0

3 years ago

Kelly's friends handed out fliers for a fundraiser. There were 40 girls and they each handed out 134 fliers. How many fliers did

Nady [450]

It is the letter D son

5 0

4 years ago