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Klio2033 [76]
3 years ago
5

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

Answer:

The angle at vertex D is acute

Triangle DEF is a right triangle

Step-by-step explanation:

Acute means that the angle is smaller that 90degrees

Delvig [45]3 years ago
7 0

Answer:

B & D

Step-by-step explanation:

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nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

tan(x) = 0 OR 1-2sin(x) = 0

Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

7 0
3 years ago
A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given
Black_prince [1.1K]

Answer:

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Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

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Step-by-step explanation:

Given data

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saw5 [17]

Answer:

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Step-by-step explanation:

8+w/4, when w=16

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