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Mkey [24]
3 years ago
7

An equilateral triangle is shown.

Mathematics
2 answers:
Effectus [21]3 years ago
4 0
What would the the “S” be?
Oksi-84 [34.3K]3 years ago
3 0

Answer:

62 cm^2

Step-by-step explanation:

An equilateral triangle is shown.

Perimeter = 36 cm

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

15 square centimeters

25 square centimeters

62 square centimeters

72 square centimeters

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Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,.to find the following:
Rasek [7]
a)\\\\
a_{n+1}-a_n=d\\
for\ n=1\\
a_2-a_1=d\\
d=3-1=2\ - difference\ between\ two\ consecutive\ terms\\\\
b)\\
a_n=a_1+(n-1)d\\
n=101\\
a_{101}=1+(101-1)*2\\
a_{101}=1+100*2=200+1=201\\\\
c)\\
Sn=\frac{a_1+a_n}{2}*n\\
n=20\\
a_n=a_{20}=1+(20-1)*2=1+38=39\\
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6 0
3 years ago
Why is the answer to this integral's denominator have 1+pi^2
ss7ja [257]

It comes from integrating by parts twice. Let

I = \displaystyle \int e^n \sin(\pi n) \, dn

Recall the IBP formula,

\displaystyle \int u \, dv = uv - \int v \, du

Let

u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn

dv = e^n \, dn \implies v = e^n

Then

\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn

Apply IBP once more, with

u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn

dv = e^n \, dn \implies v = e^n

Notice that the ∫ v du term contains the original integral, so that

\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)

\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I

\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n

\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C

6 0
2 years ago
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klemol [59]
24 is going to be the answer
3 0
2 years ago
Read 2 more answers
Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph
maksim [4K]

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

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2 years ago
The radius of a circle is 7.2 cm. Find the circumference to the nearest tenth.
Lynna [10]

Answer: 45.24

Step-by-step explanation:

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3 years ago
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