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marishachu [46]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

Look at the picture.

We have the triangles 45° - 45° - 90° and 30° - 60° - 90°.

The sides of those triangles are in ratio:

1 : 1 : √2 and 1 : √3 : 2

Therefore

If AC = 6√2 then AB = BC = 6

If BC = 6 then x = 6 : 2 = 3

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Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
91 more than the square root of a number
Genrish500 [490]

Answer:

Step-by-step explanation:

y = x 2 + 91

Explanation:

Let the number be  x

, then  Square of the number is  x ^2

91 more than the square of a number" will be  x^ 2  +  91

So, we can write it as an algebraic expression with two variables as :

y = x ^2  +  91

3 0
3 years ago
write three ratios that are equivalent to the one given: The ratio of right-handed students to left-handed students is 18;4.
Ainat [17]
9 : 2 = 18 : 4

As: 9 x 2 : 2 x 2 = 18 : 4

--------------------

36 : 8 = 18 : 4

As: 18 x 2 : 4 x 2 = 36 : 8

--------------------

72 : 16 = 18 : 4

As: 18 x 4 : 4 x 4 = 72 : 16
6 0
3 years ago
What’s the answer??????? Pleaseeeeeeee helppppppppppp
Vinvika [58]

Hello from MrBillDoesMath!

Answer:

Choice A,   18x - 6y = 20


Discussion:

Given line  

-9x + 3y = 12     (M)


Choice A:

18x - 6y = 20  =>          divide both sides by -2

-9x + 3y = -10     (N)


The left hand sides of (M) and (N) are equal implying that right hand sides are equal which further implies 12 = -10.  Contradiction! so the system M and N has no solution.


Thank you,

MrB

5 0
3 years ago
Read 2 more answers
The expression 2x + 3.4 is equal to ? for x =1.6.
ololo11 [35]

Answer:

6.6

Step-by-step explanation:

6 0
3 years ago
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