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3 years ago

How do you find if this is a right, obtuse, or acute triangle?

Mathematics

2 answers:

jolli1 [7]3 years ago

7 0

This is a right triangle becuase the one angle is a right angle aka 90 degrees and if it is a right angle then it is a right triangle

Solnce55 [7]3 years ago

5 0

It should be a right triangle as u can use phytgagrean theorem to figure it out basically a^2+b^2 = c^2 this works in this case as it should equal to 10^2 + 5 square root 2 and then Ans squared = 5 square root 6 then squared . At end it should equal to 150= 150

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A car factory made 15 cars with a sunroof and 12 cars without a sunroof. What is the ratio of

zvonat [6]

5/9 because 15 + 12 = 27 and 15 are sunroofs so 15/27, I would simplify it to 5/9 but you can either have
15/27 or 5/9

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2 years ago

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Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

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3 years ago

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Someone please help me!

Lina20 [59]

Answer:

The fraction 58/60 is equal to 29/30 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (29/30) by any interger number, ie, multiply by 2, 3, 10, 30... 58/60 is equivalent to 29/30 because 29 x 2 = 58 and 30 x 2 = 60

Step-by-step explanation:

Dont know if this helps but i hope it does!

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2 years ago

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How do you find whether ratios are proportional

alexandr1967 [171]

Hello wonderful person!!

Okay, so first of all, welcome to brainy
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Hope you understand this, and have a GREAT day!! :)

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Alexus [3.1K]

The answer would be A. 21 because 21/7 would equal 3

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