Simplify the radical expression

Answer:

[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2[/tex]

Answer:

Step-by-step explanation:

85 which is <UTY is vertically opposite <RTS makes RTS = 85

So 3 is + 85 = 180    Substitution

2x + 3x + 85 = 180

5x = 95

x = 95/5

x = 19

Answer:

20

Step-by-step explanation:

C(6,3) = 6!/[3!(6-3)!]

= 20

Answer:

It is over 7 days

hope it helps

Answer:

The measure of angle x is 25 degrees.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times10^6) \times (4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^6}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times10 \times10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times 100\times100}[/tex]

[tex]\huge\boxed{= 10,000\times100}[/tex]

[tex]\huge\boxed{= \bf 1,000,000}[/tex]

[tex]\huge\boxed{\star\ (5.1 \times 100,000) \times(4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^5}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times 10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times100\times 10}[/tex]

[tex]\huge\boxed{= 10,000\times10}[/tex]

[tex]\huge\boxed{= \bf 100,000}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times 1,000,000) \times (4.3\times 100,000)\ \star}[/tex]

[tex]\huge\boxed{5.1 \times 1,000,000}[/tex]

[tex]\huge\boxed{= \bf 5,100,000}[/tex]

[tex]\huge\boxed{4.3 \times 100,000}[/tex]

[tex]\huge\boxed{= \bf 430,000}[/tex]

[tex]\huge\boxed{\star\ 5,100,000 \times 430,000\ \star}[/tex]

[tex]\huge\boxed{= \bf 2,193,000,000,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 800,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^5}[/tex]

[tex]\huge\boxed{= \bf 80,000}[/tex]

[tex]\huge\boxed{4.67\times10^5}[/tex]

[tex]\huge\boxed{= \bf 467,000}[/tex]

[tex]\huge\boxed{4.67 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 4,670,000}[/tex]

[tex]\huge\boxed{\textsf{Therefore, this makes the answer: \bf NONE}}\\\hug\boxed{\textsf{of the \bf ABOVE}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

Answer:

The height is 12 cm

Step-by-step explanation:

Hi there!

We are given a triangle with the 3 sides marked as 15, 20, and 25 and we want to find the height of it (marked as x in the problem).

This problem can seem a bit difficult, but let's see if the triangle is a right triangle first off.  

One way to figure out if it is a right triangle is to apply the converse of the Pythagorean theorem.

Let's label the sides, where a is the shortest side, b is the second shortest side, and c is the longest side:

a=15

b=20

c=25  

Now square a and b, then add the result together. If it's the same as c squared, then the triangle is a right triangle

15²+20²=25²

225+400=625

625=625

So we can safely say that the triangle is a right triangle

This makes the problem way easier, as there are 2 ways to find the area of a right triangle:

The first way is to multiply the legs (the sides that make up the right angle) together, then divide the result by 2

The other way is to multiply the height and the hypotenuse (the side OPPOSITE to the right angle) together, and then divide the result by 2

First, we need to figure out which sides are the legs, and which side is the hypotenuse

By the triangle inequality theorem, the hypotenuse of a right triangle is the longest side, which means that the 25 cm side is the hypotenuse, and that leaves 15 cm and the 20 cm sides as the legs

So let's find the area of the triangle using the legs

A=[tex]\frac{15*20}{2}[/tex]=[tex]\frac{300}{2}[/tex]=150

So the area of the triangle is 150 cm²

However, as mentioned above, we can also find the area of the triangle by multiplying the hypotenuse by the base, then dividing the result by 2

Which means that the area is also:

A=[tex]\frac{25x}{2}[/tex] cm²

As these both equal the area of the triangle, we can set them equal to each other. This is possible via a property known as transitivity (if a=b and b=c, then a=c)

[tex]\frac{25x}{2}=150[/tex]

Multiply both sides by 2

25x=300

Divide both sides by 25

x=12 cm

So the height of the triangle is 12 cm

Hope this helps!

Answer:

9 1/4 inches would be left

Step-by-step explanation:

Answer:

B. sqrt 6 is the answer.maja

Answer:

hope it help you

Step-by-step explanation:

mark me brailiest answer

Answer:

2

Step-by-step explanation:

2.034

We are rounding to the ones place.

To round, look at the digit to the right of which we are rounding. In this case, it is 0.

0 is less than 5, so we just keep the 2.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

2

Step-by-step explanation:

2.034 can be rounded to 2.000, or 2. This is because the digit after the two in the tenths place, 0, is less than 5.

Brainliest, please!

9514 1404 393

Answer:

  3, 4

Step-by-step explanation:

If x represents the integer, then the relationship required is represented by the equation ...

  x^2 = 7x -12

  x^2 -7x +12 = 0 . . . . put in standard form

  (x -3)(x -4) = 0 . . . . . factor

The values of x that make this relation true are x=3 and x=4.

The two integers are 3 and 4.

Answer:

A

Step-by-step explanation:

(f+g)(x) simply means you add f(x) and g(x).

[tex]-2x^2-5x+3x+3+5=(f+g)(x)[/tex]

We can then simplify by combining like terms to get

[tex]-2x^2-2x+8[/tex]

A is correct!

Answer:

B.

Step-by-step explanation:

Since i is in the denominator, if i = 0, then the result will be undefined. Therefore, B cannot be a value of θ.

Step-by-step explanation:

7

Answer:

B

Step-by-step explanation:

[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]

Answer:

D

Step-by-step explanation:

2ab*cos(C)=a^2+b^2-c^2

2ab*cos(C)=5^2+4^2-2^2=25+12=37

Answer:

The answer is 37

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

Answer:

[tex]17 + 5x = - 23 \\ 5x = - 23 - 17 \\ 5x =-4 0 \\ x = \frac{ - 40}{5} \\ \boxed{x = - 8}[/tex]

Answer:

(-15,-15)

Explanation:

The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.

Answer:

Does the answer help you?

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right.

longest side = 12 and 12² = 144

5² + 8² = 25 + 64 = 89

Since 5² + 8² ≠ 12² , then triangle is not right → D

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

Answer:

(3,-2)

Step-by-step explanation:

The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.

-3x + 7 = 2x - 8            Add 8 to both sides

-3x + 7 + 8 = 2x           Combine

-3x + 15 = 2x                Add 3x to both sides

15 = 2x + 3x                 Combine and exchange sides

5x = 15                         Divide by 5

x = 15/5          

x = 3

Use y = 2x - 8 to solve for y

y = 2(3)  = 8

y = 6 - 8

y = - 2

Answer:

61

or

421

Step-by-step explanation:

Find the L.C.M. of 2,3,4,5,6 and add 1.

2| 2-3-4-5-6

-------------------  

2| 1-3-2-5-3

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

3| 1-3-1-5-3

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

5| 1-1-1-5-1

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

 | 1-1-1-1-1-1

L.C.M.=2×2×3×5=60

reqd. number=60+1=61

if i distribute between 2,3,4,5,6 people then reqd number is 61

if Mia is also among those people or she gets also share

then the people are2,3,4,5,6 or 7

L.C.M. of 2,3,4,5,6,7=60×7=420

so reqd number is 420+1=421

Answer:

144 cm²

Step-by-step explanation:

This figure is formed by rectangles and triangles, so we need to find the surface area of they and add all to have the surface area of the figure:

area of the rectangles:

4×3 = 12, and there are two of these rectangles

6×3 = 18, and there are just one of that

4×6 = 24, and there are two of these

5×3 = 15, and there are two of these

Now the area of a triangle:

6×4/2 = 12, and there are two of these

12×2 + 18 + 24×2 + 15×2 + 12×2 = 144 cm²

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

Answer:

m

Step-by-step explanation: