solve for the missing side and round to the nearest tenths place

Answer:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

Step-by-step explanation:

We want to write the trignometric expression:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]

Take the secant of both sides:

[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]

By substitutition:

[tex]\displaystyle= \sin(2\theta)[/tex]

Using an double-angle identity:

[tex]=2\sin(\theta)\cos(\theta)[/tex]

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

Using the triangle inequality theorem, we can figure this out.

2-  Yes

3- No

4- No

5- Yes

6-  Yes

Answer:

b. The difference in the distance traveled by the tortoise and hare during that time.

Step-by-step explanation:

First the intersection points are found out on the graph. Then the area between the curves is found out.

Putting the values

H(t) = sin(t)

H(t) = sin(1) = 0.01745

T(t) = cos(t),

T(t) = cos(1)= 0.9998

As T(t) ≥ H(t)

Area is found out by taking the integral of it.

Area = Integral ( limit 0 to 0.998)  T(t)-H(t) dt

The difference represents how far the turtle is from the hare.

So it represents the difference in the distance traveled by the tortoise and hare during that time.

9514 1404 393

Answer:

  -1/6

Step-by-step explanation:

The slope (rate of change) is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -8)/(24 -0) = -4/24 = -1/6

The rate of change of the linear function is -1/6.

_____

The equation is y = -1/6x +8.

Answer: 2a/3 + b/3

Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.

Answer:

18 days

Step-by-step explanation:

Find how many days it can be expected to rain by finding 60 percent of 30

30(0.6)

= 18

So, one can expect it to rain for a total of 18 days out of the 30 days

Answer:

x=1 y=1

Step-by-step explanation:

You want to chose either x or y to cancel out of both equations. I chose y, so I multiplied the entire equation of 3x-y=2 by 2 to get 6x-2y=4

6x-2y=4

x+2y=3

The -2y and 2y cancel each other out, the 6x and x can be added, and the 4 and 3 can be added.

7x=7

x=1

Now that we know x=1, plug in x to one of the original equation.

1+2y=3

2y=2

y=1

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

Answer: 8

Step-by-step explanation:

1. Rewrite the equation:

-2x^3 - 3x^2 + 4     x = -2

2. Plug in the value of x, -2

-2(-2)^3 - 3(-2)^2 + 4

3. Use order of operations (PEMDAS):

-2(-8) - 3(4) + 4

= 16 - 12 + 4

= 8

Answer:

2/3 or .66666666

Step-by-step explanation:

Answer:

Yes

Yes

No

No

Step-by-step explanation:

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = {-x for x < 2; 2x-3 for x ≥ 2}

Step-by-step explanation:

The blue line extending to the left has a slope of -1 and a y-intercept of 0. Its equation is y = -x. That part of the definition of f(x) is applicable for values of x less than 2. (The open dot at (2, -2) tells you that point is not included.)

The red line extending to the right has a slope = rise/run = 2/1 = 2. The y-intercept can be found by extending the line to the y-axis, or from the computation ...

  b = y -mx

  b = 1 -2(2) = -3 . . . . . for the point (x, y) = (2, 1)

Then the slope-intercept equation for the red line is ...

  y = 2x -3

That part of the definition of f(x) is applicable for values of x ≥ 2. The solid dot tells you the point (2, 1) is included.

Putting these parts together, we get ...

  [tex]f(x)=\left\{\begin{array}{cc}-x&\text{if $x<2$}\\2x-3&\text{if $x\ge2$}\end{array}\right.[/tex]

Answer:

19

Step-by-step explanation:

9+15=24

24-5=

19 is the answer

Answer:

since we have four groups, the number of population k = 4

Option C. 4 is the correct answer

Step-by-step explanation:

Given the data in the question;

Number of group k = 4

the number of cases in each group = 30

so

n = 4 × 30

n = 120

SS_total  = df = n - 1

= 120 - 1

= 199

SS_between = k - 1

= 4 - 1

= 3

since we have four groups, the number of population k = 4

Option C. 4 is the correct answer

Answer:

5:51 P.M.

Step-by-step explanation:

You first add 36 and 10 which you get 46 then add the 46 to the total so, 46 + 5 is 51 so she will get back at 5:51 P.M

Answer:

u first add 36 to 5:05=5:41 then add 10 more min and that is 51

Answer: here is your answer

Step-by-step explanation:

A= 16

B= -8

C= 6

D= -16

E= -4

9514 1404 393

Answer:

  7×10⁻¹ +6×10⁻² +5×10⁻³

Step-by-step explanation:

Place value in any place-value number system increases by a factor of the base for each place to the left of the "decimal" point. It is reduced by a factor of the base for each place to the right of the "decimal" point.

For base-10 numbers, the powers of 10 are -1, -2, -3, ... as you go to the right of the decimal point. Hence the number 0.765 decomposes as ...

  7×10⁻¹ +6×10⁻² +5×10⁻³

Answer:

no possible answers

Step-by-step explanation:

V

W

X

w = 35

x = 78

48°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​

=

b

sinB

​

From the reference sheet (reciprocal version).

\frac{\sin X}{78}=\frac{\sin 48}{35}

78

sinX

​

=

35

sin48

​

Plug in values.

\sin X=\frac{78\sin 48}{35}\approx 1.6561513

sinX=

35

78sin48

​

≈1.6561513

Evaluate.

X=\sin^{-1}(1.6561513)= \text{ERROR}

X=sin

−1

(1.6561513)=ERROR

Sine cannot be greater than 1.

\text{No Possible Triangles}

No Possible Triangles

\{\}

{}

Answer:

no Possible Triangles

Step-by-step explanation:

Answer:

1=94 max  2=96 max

Step-by-step explanation:

Answer:

Here is the formula of what u want . so the answer would be A≈841.78 .

plz check the final answer yourself again ^^

hope it helps u . ⚘

Answer:

Answer:

X=-2 x=1 x=3 and x=-1

Step-by-step explanation:

When the problem asks you to find the zeros all they are asking for is the solution so to solve all you need to do is set each individual piece equal to zero.

Answer:

Step-by-step explanation:

[tex] \csc \: x = \frac{1}{ \sin \: x } \\ \csc(0) = \frac{1}{ \sin(0) } \\ if \: \sin(0) = 0.788 \: so \\ \csc(0) = \frac{1}{0.788} \\ \\ \csc(0) = 1.27[/tex]

Thanks for this question :)

Answer: 1.27

I hope that helps!!

Answer:

hello

Step-by-step explanation:

4x+3x+2x=180⁰

9x=180⁰

x=20

hope it helps

have a nice day

Answer:

x= 20

Step-by-step explanation:

4x+3x+2x=180

9x=180

x=180/9

so