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3 years ago

What does x equal to in this problem

Mathematics

2 answers:

SVEN [57.7K]3 years ago

6 0

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20.1

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IgorC [24]3 years ago

3 0

Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".

Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.

Then we can use the Law of sines,

sin(70)/13=sin(20)/y

y=sin(20)*13/sin(70)

y=15.34

Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2

x = 20.1

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The quotient of a number and 3 is equivalent to-150

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Rewrite the polynomial-9x^5+36x^4+189x^3 in factored form, using the factoring method method you prefer.

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The polynomial 9x^5+36x^4+189x^3 in factored form is $-9 x \times x \times x \times(x-7) \times(x+3)$

Solution:

Given, polynomial equation is $-9 x^{5}+36 x^{4}+189 x^{3}$

We have to find the factored form of the above given polynomial equation.

Let us solve it by grouping.

Now, take the polynomial ⇒ $-9 x^{5}+36 x^{4}+189 x^{3}$

By taking common term out, we get

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$\rightarrow-9 x^{3}\left(\left(x^{2}-7 x\right)+(3 x-7 x^3)\right)$

Taking common terms out from each group,

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3 years ago

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Answer:

The length of the arc on the sixth swing was 12.18 ft.

Step-by-step explanation:

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The third arc is 22 ft. long and the seventh arc is 10 ft.

Hence, the 3rd term is 22 and 7th term is 10.

The length of the arc on the sixth swing is asked, so we have to calculate the 6th term.

We know the nth term in GP is,

$T_n=ar^{n-1}$

So,

$T_3=ar^{3-1}=ar^2$ ----------------1

$T_7=ar^{7-1}=ar^6$ ----------------2

Dividing equation 2 by 1,

$\Rightarrow \dfrac{T_7}{T_3}=\dfrac{ar^6}{ar^2}$

$\Rightarrow \dfrac{10}{22}=\dfrac{ar^6}{ar^2}$

$\Rightarrow \dfrac{10}{22}=\dfrac{r^6}{r^2}$

$\Rightarrow \dfrac{r^6}{r^2}=\dfrac{10}{22}$

$\Rightarrow r^4=\dfrac{10}{22}$

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Then the 6th term will be,

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Dividing equation 2 by 3,

$\Rightarrow \dfrac{T_7}{T_6}=\dfrac{ar^6}{ar^5}$

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$\Rightarrow \dfrac{10}{T_6}=0.8211$

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Therefore, the length of the arc on the sixth swing was 12.18 ft.

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What does x equal to in this problem​

What does x equal to in this problem