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Semmy [17]
3 years ago
15

A courtyard is shaped like a square with 250 ft long sides what is the distance from one corner of the courtyard to the opposite

corner round to the nearest tenth
Mathematics
1 answer:
Tom [10]3 years ago
7 0
H=leg√2
h=250√2

h=353.6 ft.

(h=height)

Hope this helped☺☺
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Show work and explain with formulas.
Juli2301 [7.4K]

20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1

21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

6 0
3 years ago
Read 2 more answers
If the cube has a side length of 12 inches, what is the surface area of the cube?
Ne4ueva [31]
The equation for surface area on a cube is 6 * L^2, where L is side length. Essentially, six squares of equal size
12^2=144
6 * 144=864
I hope you found this both helpful and explanatory
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4 years ago
On a team’s opening day, fans in a baseball stadium were asked how many home games they plan to attend this season. The histogra
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The Answer to the first one was 25 not 32

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What is the median for the data set?
DiKsa [7]
1st step is to put the numbers from smallest to biggest. Once you do that cross one out on the left, then the right, then the left, then the right and so on. Sometimes there will be 2 numbers left, so you add them up and subtract by two. If you need further help ask! :)
5 0
3 years ago
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46
natka813 [3]

Answer:

7.9982

Step-by-step explanation:

-The function for an earthquake's magnitude is given by  R = 0.67log(0.37E) + 1.46

-E is energy in kwh.

#For 15,500,000,000 kilowatt hours the magnitude would be:

R = 0.67\ log(0.37E) + 1.46,\ \  E=15,500,000,000  \ kwh\\\\\therefore R=0.67 \ log(0.37\times 15,500,000,000)+1.46\\\\\\=7.9982

Hence, the earthquakes magnitude is 7.9982

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3 years ago
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