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raketka [301]
3 years ago
14

Solve for X in the given interval. sec x = -2sr3/3, for pi/2 less than or equal to x less than or equal to pi

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the trig. identity

cos x = \frac{1}{secx}

Given

secx = - \frac{2\sqrt{3} }{3} , then

cos x = - \frac{3}{2\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = - \frac{3\sqrt{3} }{6} = - \frac{\sqrt{3} }{2} , thus

x = cos^{-1} (- \frac{\sqrt{3} }{2} ) = \frac{5\pi }{6} → B

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A 25 ft. ladder resting against the side of a building forms a right triangle with the ground. The bottom of the ladder is 7 ft.
ruslelena [56]

Answer:

The correct answer is 24

Step-by-step explanation:

to solve this you will need to use the pathagreom theorum

a^{2}+b^{2}=c^{2}

A= one side lenth

B= the secons side lenth

C= hypotnuse

It is helpfull to draw out the situation

you know that the latter is 25 ft, that is your hypotnuse

you also know that the 7 ft away from the base of the building is one of the side lenths, lets call it side a

so plug the numbers into the equation

7^2 + b^2 = 25 ^2

you leave b^2 alone because that is the side you are trying to find

now square 7 and 25 but leave b^2 alone

49 + b^2 = 625

now subtract 49 from both sides

b^2 = 576

now to get rid of the square of b you have to do the opposite and square root both sides removing the square of the B and giving you the answer of..........

B= 24

Hope this helped!! I tryed to explain it as simpil as possiable

6 0
2 years ago
Read 2 more answers
Write 0.9 as a fraction with a denominator of 10
adelina 88 [10]
The answer is 9/10
the denominator is on the bottom
5 0
3 years ago
Read 2 more answers
-8(8v + 1) - 2 = -394
Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer:  v = 6

3 0
3 years ago
Read 2 more answers
PLz solve this i need this quick.
eimsori [14]
Im not sure but I think its C
5 0
3 years ago
PLEASE HELP LAST PROBLEM I NEED HELP ON (Homework Help)
V125BC [204]

Answer:

a

Step-by-step explanation:

so the 2 in front means stretch 0f 2 the -3 in the parenthaesis means right 3 and the 1 means up 1

7 0
3 years ago
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