What is the correct answer for this?

The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.

Given that,

A triangle UVW is shown in the image with sides and angles,

vw = 6.4

uv = x

And, ∠wuv = 42°

Used the trigonometry formula which states that,

[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]

Here, we have;

An angle ∠wuv = 42°.

So, we get;

[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]

Substitute given values,

[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]

Since, sin (42°) = 0.67

Hence,

[tex]0.67 = \dfrac{6.4}{x}[/tex]

Multiply by x on both sides,

[tex]0.67 \times x = 6.4[/tex]

Divide both sides by 0.67, we get;

[tex]x = \dfrac{6.4}{0.67}[/tex]

[tex]x = 9.55[/tex]

Round to the nearest tenth,

[tex]x = 9.6[/tex]

So, the value of x is 9.6 units.

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.

It is asking us to simplify it using exponents.

Exponents are these little numbers beside a big number Telling it how much you multiply it by.

EXAMPLES

2^3 is just 2x2x2

2^4 is just 2x2x2x2

Notice the pattern? I hope so!

Now 2 to the power of 4 is 16. Our new equation looks like this

{16/2^3}^5.

Now 2 to the power of 3 is 8.

So, our new equation is

{16/8}^5

In which you get 2^5 which is just 2x2x2x2x2

And you get 32 as the final answer

I hope this helped and if you have questions just tell me!!

Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.

A single gallon is equivalent to 3.875 liters.

If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:

= Gasoline in gallons x Number of liters per gallon

= 1.5 x 3.875

= 5.8125

= 5.8 liters

In conclusion, Mario bought 5.8 liters of gasoline.

Find out more at https://brainly.com/question/237650.

Answer:

42 square centimeters

I think that is the right answer

sorry if it is wrong

Answer:

7×6= 42 square centimeters

Answer:

y=-1/2x+3

Step-by-step explanation:

Step-by-step explanation:

Subtract x both sides

2y = 6 + (-x)

Divide by 2 both sides

y = 3 + (-1/2x)

y = -1/2x + 3

Answer:

1/4 cup

Step-by-step explanation:

Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.

Answer:

24513

Step-by-step explanation:

Answer:

12 Weeks

Step-by-step explanation:

$1400 - $377 = $1023

1023 / 85.25 = 12 Weeks

Answer:

Its will take Sonja 12 weeks

Step-by-step explanation:

The factorization of the given expression is 2ab(b²+4a).

The given expression is 2ab³+8a²b.

A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.

The given expression can be factorize as follows:

2ab³+8a²b

Here, 2ab is the common factor from both the terms, Take it out side the bracket.

That is, 2ab(b²+4a)

Therefore, the factorization of the given expression is 2ab(b²+4a).

To learn more about the factorization visit:

https://brainly.com/question/20293447.

#SPJ2

Answer:

Step-by-step explanation:

Let P be the number of phone cases and C the number of chargers.

p($25) + C($30) ≤ $100

and

P + C ≥ 4

Answer:

B

Step-by-step explanation:

Move it down 3 units, then rotate it.

Answer:

3 m/s/s

Step-by-step explanation:

F = ma

28 = 4m

m = 7

m is constant throughout

21 = 7a

a = 3

3 m/s/s

Answer:

the numbers are (11,13)

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

Answer:

11. 10+2r  12.-7v+7  13.1-2b  14. 5n+10  15. 12v  16.-12n  17. 0  18. -4n+10  19. 5b+9   20. 5v-8

Step-by-step explanation:

Sorry I don't have much time. I'll just send you a tip

If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.

You're lucky because I just answered this. Thanks!

:)

Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Answer:

the answer to the question is 210

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

Answer:

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Step-by-step explanation: Correct me if i'm wrong lol.

Answer:

Step-by-step explanation:

Answer:

Here :)

Equilateral Polygon,

Convex Polygon,

Cyclic

Isgonal Figure

Istoxal Figure

[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]

Answer:

1000x or 1000 thousand times greater

Step-by-step explanation:

every decimal to the left is 10x greater than the one right of it.