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FrozenT [24]
2 years ago
10

Which of the following is the length of the altitude a of the equilateral triangle below?

Mathematics
1 answer:
maria [59]2 years ago
3 0

Answer:

A) \sqrt{3}

Step-by-step explanation:

in a 30-60-90 triangle the sides, respectively, are in the ratio of 1 : \sqrt{3} : 2

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Eduardo and Paul are leaving the same airport in Florida. Eduardo’s flight to Jamaica is 273 miles long. Paul's flight to Hondur
k0ka [10]

Answer:

B. 41.8° is the correct answer

Step-by-step explanation:

We are given that,

Length of Eduardo's flight path = 273 miles

Length of Paul's flight path = 357 miles

Distance between their destinations = 238 miles.

Now, using the law of cosines, we get,

238^2=273^2+357^2-2\times 273\times 357\times \cos \theta

i.e. 56644=74529+127449-194922\times \cos \theta

i.e. 56644=201978-194922\times \cos \theta

i.e. 194922\times \cos \theta=145334

i.e. \cos \theta=0.7456

i.e. \theta=\arccos 0.7456

i.e.  θ = 41.8°

Hence, the angle between their flight paths is 41.8°.

4 0
4 years ago
2x-3y = 2y - x then find the value of ×:y
zimovet [89]

Answer:3x

Step-by-step explanation:

If 2x+y=2y−x, then the value of y in terms of x can be

3x

7 0
3 years ago
BRAINLIEST if correct + small explanation
astraxan [27]

Answer is 280

First, find A = 35% (100% less the three known percents = 35

Second, find ratio of B
20% of x = 160
Divide 160/.20 to isolate x
X=800 (total biscuits)
Now take A percentage x 800 biscuits
800 x 35% = 280 people chose biscuit A
3 0
2 years ago
Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)
nignag [31]

Answer:

Therefore the solution set is (x , y) = ( 2 , 1 )

Step-by-step explanation:

Given:

-2x+y=-3  ...............Equation ( 1 )

x+y=3\\  ...............Equation ( 2 )

\therefore y=3-x     ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute  above ' y ' Equation 3 in Equation 1 we get

-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2

Now Substitute  ' x ' in Equation 3 we get

y=3-2=1\\y=1

Therefore the solution set is (x , y) = ( 2 , 1 )

5 0
3 years ago
ANSWER ASAPPPP FORR BRAINLIEST
miv72 [106K]

Answer: the first one

Step-by-step explanation:

4 0
3 years ago
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