Please help me ? I think I got it right

Mathematics

1 answer:

umka2103 [35]4 years ago

6 0

Сorrect statements:
1. EF is the longest side

2. DF = 6 cm (in a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse. )

3. By the Pythagorean theorem:
DE = √(12²-6²) = √(144-36) = √108 = 6√3
DE = 6√3 cm

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An angle measure of 55.45 is converted to DMS notation as

jek_recluse [69]

Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

Step-by-step explanation:

We need to convert angle measure of 55.45 to DMS notation

DMS notation is Degree Minute and seconds

Solving:

We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.

We can write it as 55 and 0.45

So, we have 55 degrees

To find minutes we will multiply 0.45 by 60

0.45*60 = 27 minutes

Since we have no decimal value in minutes so seconds will be 0

So, DMS will be 55 degrees 27 minutes 0 seconds

Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds

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3 years ago

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liubo4ka [24]

Let the shorter leg = a.
The longer leg, b = a + 4.
The hypotenuse, c = a + 8

a^2 + b^2 = c^2

a^2 + (a + 4)^2 = (a + 8)^2

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a^2 - 8a - 48 = 0

(a - 12)(a + 4) = 0

a - 12 = 0 or a + 4 = 0

a = 12 or a = -4

a = -4 is discarded because it is negative.

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3 years ago

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miss Akunina [59]

Answer:

$sin ( u +\frac{\pi}{2} ) = cos (u)$

Step-by-step explanation:

Let us use the identity

sin(A+B)= cos(A) sin(B)+cos (B) sin(A) to simplify the given expression

Then

$sin(u + \frac{\pi}{2})= \cos \left(u\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(u\right)$ --------------------(1)