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3 years ago

Simplify 3√225x^2y^4

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

Answer:

45X2y4

Step-by-step explanation:

3√225X2y4

Simplify to

45X2y4

=45X2y4

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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3 years ago

The figure shows the path of a track. It consists of a semicircular arc BCD and three sides of a rectangle in which AB = 20 cm,

fredd [130]

$\large \mathcal{Answer}$

A. Area of given figure = 280 + 77 = 357 cm²

B. length of semicircle = 22 cm

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3 years ago

Mr. Allway’s math class surveyed all the seventh-grade students to find out their favorite sport. The following circle graph sho

JulijaS [17]

Answer:

101 is the answer of the question

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3 years ago

Read 2 more answers

What is the product? 3x^5(2x^2+4+1)

const2013 [10]

Answer:

$6x^{7} +15x^{5}$

Step-by-step explanation:

$3x^{5}$ ( $2x^{2} +4+1$ )

Multiply $3x^{5}$ by each term in the parentheses.

$6x^{7}$ + $12x^{5} +3x^{5}$

Now, all you have to do is simplify.

$6x^{7} +15x^{5}$

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3 years ago

I need help please anyone help please

steposvetlana [31]

Answer:

A. 17h+15=c

B. 4

*Steps*

83-15=68

68/17=4

2(box 1):

how to solve: 25m+200=?

m(minutes)=10

25(10)+200=450

*Give me a little to work out the other three please!*

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3 years ago