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3 years ago

8

Calculate the sum of the infinite series 72+60+50+125/3+...

1 answer:

erica [24]3 years ago

5 0

Answer:

223.666666667

This took a while lol

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Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

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3 years ago

Change 90 euros to pounds

kati45 [8]

Answer:

The exact amount of British pounds would be 81.769

Step-by-step explanation:

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3 years ago

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An ice cream shop sold 48 vanilla milkshakes in a day, which was 40% of the total number of milkshakes sold that day. What was t

german

Answer:

They sold 120 milkshakes that day

Step-by-step explanation:

We can set up a proportion

$\frac{48}{m} =\frac{2}{5}$

$48*5=2m\\ 2m = 240\\m = 120\\$

Note: If you have some value, $v$ , and it is $\frac{x}{100}$ of the total amount, you can find the value by doing the equation $\frac{v}{x}*100$

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4 years ago

Help plz this is due late so plz help me

Gekata [30.6K]

Answer:

1st option

Step-by-step explanation:

Each exponent inside the bracket is multiplied by the exponent outside , that is

$(\frac{2^{5} }{3^{2} )} ^{4}$

= $\frac{2^{5(4)} }{3^{2(4)} }$

= $\frac{2^{20} }{3^{8} }$

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3 years ago

If a1 = 2 and an - 2an-1 then find the value of 06.<br><br><br>need help with these please

anygoal [31]

Answer:

Could you please organize your question more?

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3 years ago