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Rom4ik [11]
2 years ago
7

Please explain your answer!

Mathematics
1 answer:
zzz [600]2 years ago
7 0

Answer:

Step-by-step explanation:

tan x = ( sin x ) / ( cos x )

tan²x + 1 = sec²x

sec x = ± √(tan²x + 1)

sec x = 1 / cos x

~~~~~~~~~~~~

tan x = 4 and sin x < 0

cos x - ?

<u><em>If tan x > 0 and sin x < 0 ⇒ cos x < 0</em></u>

sec²x = 16 + 1 = 17 ⇒ cos²x = \frac{1}{17}

cos x = - \frac{\sqrt{17} }{17}

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What decimal is greater than 8.5
Valentin [98]
9.5 cause it brought a ten up to show the decimel
8 0
3 years ago
Read 2 more answers
Find the square (5p-9)(5p-9)
Hunter-Best [27]

Answer:

The square would be 25p^2 - 90p + 81

Step-by-step explanation:

To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.

First - Multiply the first number in each parenthesis.

5p * 5p = 25p^2

Outer - Multiply the outside numbers in each parenthesis.

5p * -9 = -45p

Inner - Multiply the inner numbers in each parenthesis.

-9 * 5p = -45p

Last = Multiply the last numbers in each parenthesis

-9 * -9 = 81

Now take all of those numbers and add together. Then simplify.

25p^2 - 45p - 45p + 81

25p^2 - 90p + 81

5 0
3 years ago
What is the value of x?
polet [3.4K]

Answer:

71°

Step-by-step explanation:

All angles inside of a triangle add up to 180°, so you need to find angles that add up properly. First, you should subtract 38 from 180, which gives you 142°. Now, if you look at the outer measurements, you can clearly see that this triangle is isosceles, meaning it has both two congruent sides and angles. So we are left with 142, and it needs to be dispersed evenly into the two angles because they are congruent, so divide by 2 and you get 71° for X.

8 0
4 years ago
What is the approximate volume of a cone with a height of 11 ft and radius of 3 ft?
nadya68 [22]
Substitute the values of the radius <span>(<span><span>r=3</span>),</span></span><span> the </span>height <span>(<span><span>h=11</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cone<span>.
</span><span>V≈+<span>1/3</span>⋅3.14⋅<span>3^2</span>⋅11

</span><span>Simplify.
</span>Write 3.14<span> as a </span>fraction<span> with </span>denominator <span>1.</span><span> 
</span><span>V≈+<span>1/3</span>⋅<span>3.14/1</span></span> <span>

</span>Combine <span>1/3</span><span> and </span><span>3.14/1</span><span> to get </span><span><span>3.14/3</span>.</span><span> 
</span><span>V≈+<span>3.14/3</span></span><span> 
</span>
Replace back in to larger expression<span>. 
</span><span>V≈+<span>3.14/3</span>⋅<span>3^2</span>⋅11</span><span> 
</span>
Divide 3.14<span> by </span>3<span> to get </span><span>1.04666667.
</span><span>V≈+1.04666667⋅<span>3^2</span>⋅11

</span>Raise 3<span> to the </span>power<span> of </span>2<span> to get </span><span>9.
</span><span>V≈+1.04666667⋅9⋅11

</span>Multiply 1.04666667<span> by </span>9<span> to get </span><span>9.42.
</span><span>V≈+9.42⋅11

</span>Multiply 9.42<span> by </span>11<span> to get </span><span>103.62.
</span><span>V≈+103.62

</span>Remove trailing zeros<span> from </span><span>103.62.
</span><span>V≈+103.62</span><span>f<span>t^3

Volume:
</span></span>V≈+103.62ft^3
8 0
3 years ago
Read 2 more answers
2x - 3y = 16
aivan3 [116]

Answer:

B) (5,-2)

Step-by-step explanation:

we have the equations:

2x - 3y = 16\\3x + 2y = 11

We multiply the first equation by 3:

3(2x-3y=16)\\6x-9y=48

i will call this equation 1.

and we multiply the second equation by 2:

2(3x+2y=11)\\6x+4y=22

i will call this equation 2.

Now we subtract equation 2 from equation 1:

6x-9y=48\\-(6x+4y=22)

this is:

6x-9y=48\\-6x-4y=-22

which gives:

6x-9y-6x-4y=48-22\\-13y=26\\y=-2

and now that we know that y=-2 we substitute this value in any of the original equations to find x

using 2x - 3y = 16

we have:

2x - 3(-2) = 16\\2x+6=16\\2x=16-6\\2x=10\\x=5

so x=5

the answer is (5, -2) which is option B.

5 0
4 years ago
Read 2 more answers
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