A.16cm b. 16 root 2cm c. 8 root 2cm d. 8cm

Mathematics

1 answer:

Stolb23 [73]3 years ago

7 0

Answer:

Step-by-step explanation:

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Histogram would be right

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A New cell phone cost $225. The accessories cost 13% of the cell phone price. What is the cost of the accessories?

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3 years ago

What is cos (x)? 48/58 58/48 26/58 58/26

Evgen [1.6K]

We have to calculate the length of the missing side.
Use the Pythagorean theorem:

$a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}$

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3 years ago

The diagram shows a triangle.

Basile [38]

Answer:

s=13

Step-by-step explanation:

$As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13$

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If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle

melamori03 [73]

Let's assume they meant C=40 degrees. With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

$AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C$

$AB^2 = AC^2 + BC^2 - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ$

$AB = \sqrt{ 169 - 120 \cos 40 ^\circ} \approx 8.77921789$

The area is $\frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628$

The circumradius is $r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) } = 6.829019329$

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3 years ago