Find x, y, and z:



x =

y =

z =

Answer:

the other sides are 6 and 3√3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Right Triangle

We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.

The triangle is shown in the figure attached.

The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:

[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]

Since:

[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]

[tex]\displaystyle y=3\sqrt{3}[/tex]

Now applying the sine to find the hypotenuse x:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]

x = 6

2/3 is the correct answer

Answer:

Yes the answer is 69.08

Answer:

its .   B

Step-by-step explanation:

becuse i took the test -x-

hoped it helped

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Answer:

1:3

Step-by-step explanation:

2:6 common multiple is 2 so 2:6 divide by 2 is 1:3

Answer:

1:3

Step-by-step explanation:

this is the answer understand

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

Answer:

B: The elevation of the chameleon

Step-by-step explanation:

The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)

Also,

The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)

ඞHope this helps u because i got dis question from Khan Academyඞ

Answer:

Step-by-step explanation: You have to add the number

420

+77

497

Answer:

CD=8

Step-by-step explanation:

CD=1/2 of ZX

1/2 of 16= 8

Hope this helps!

Please mark me brainliest if you can. :)

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

Answer:

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

9514 1404 393

Answer:

  border area = 6x +126

Step-by-step explanation:

The dimensions of the picture with its frame will be ...

 (15 +2×3) long by (x +2×3) wide

The border area is the difference between the picture overall frame area and the picture area:

  border area = (15+6)(x+6) -(15x) = 21x +126 -15x

  border area = 6x +126

Answer:

hvjv

Step-by-step explanation:

Answer:

I'm not sure but y=1 may be the answer

Answer: (0,1)

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

x + 7x + 2 = 8x + 2

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

Answer:

16.05

Step-by-step explanation:

first I realized 7 cents is .07% of 10 the I multiplied .07 times 15 then I added them up and got the answer

Answer:

4.6???

Step-by-step explanation:

Answer: 4.6

(2.3)2

2.3+2.3 = 4.6

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Answer:

8/3

Step-by-step explanation:

You have to count each third and eventually you would get 8/3.

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

Answer:

Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.

Answer:

Step-by-step explanation:

2 plus 2 is four (4)

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]

Step-by-step explanation:

Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

[tex]y=12000(1.05)^x[/tex]

Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.

Answer:

Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50

Step-by-step explanation:

Answer:

18

Step-by-step explanation: