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3 years ago

An anemometer is a device used to measure wind speed.

Mathematics

2 answers:

natita [175]3 years ago

8 0

Answer:

The question can be answered by using a Pythagoras' Theorem : $c^2=a^2+b^2$ to find the base of the pole to which each wire is attached to the ground.

Step-by-step explanation:

the base of the pole is represented by b.

the height of the pole is represented by a= 5 feet

the length of t he wire is represented by c=5 feet.

Thus, using the Phytagoras Theorem,

c^2=a^2+b^2,

$6^2=5^2+b^2\\36=25+b^2,\\36-25=b^2\\Thus, b^2=11,\\b=\sqrt 11$ or b=3.3.

Thus , each wire i attached by about 3.3 feet to the base of the pole.

mariarad [96]3 years ago

3 0

Answer:

3.32ft

Step-by-step explanation:

The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.

Using Pythagoras Theorem:

Hypotenuse²=Adjacent²+Opposite²

6²=5²+x²

x²=36-25

x²=11

x=√11=3.32 ft.

The wires are attached 3.32 ft from the base of the pole on the ground

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ozzi

Solve by substitution

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Just plug in y=-x-1 into y+x=3

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3 years ago

How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
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3 years ago

6.92 as a mixed number in simplest form

tamaranim1 [39]

173/25 is the answer to that.

5 0

3 years ago

After going through all of your expenses for the month, you can up with the expression -2(x+3) – 5(2x – 7). Simplify the express

svlad2 [7]

Answer:

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Step-by-step explanation: