Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21. Given right triangle XYZ, what is the value of tan(60°)? One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartRoot 3 EndRoot StartFraction 2 Over 1 EndFraction

Answer:

When the survey was initially conducted, the average sales of smartphones was 1.7 million units.

Step-by-step explanation:

The exponential equation is P ( n ) = 1.7 ( b )ⁿ , where n is the number of years and P ( n ) is the annual sales of smartphones and the initial sales of smartphones was 1.7 million units

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

P ( n ) = 1.7 ( b )ⁿ

where , n is the number of years

And , P ( n ) is the annual sales of smartphones

Now , the value of b is the exponential growth factor

At the initial year , the number of smartphones sold is when n = 0

So , when n = 0

P ( 0 ) = 1.7 ( b )⁰

P ( 0 ) = 1.7 million units

Hence , the number of smartphones sold in initial year is 1.7 million units

To learn more about exponential growth factor click :

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Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

Answer:

64

Step-by-step explanation:

In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.

g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the                 rumor.

r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.

Substitute into equation:     g6 = 2 x 26-1 = 2 x 25 = 2  x 32 = 64 Answer is 64.

Answer:

Step-by-step explanation:

I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7

PS = 3.7

Answer:

it is 6.9

Step-by-step explanation:

i took the test

Answer:

15%

Step-by-step explanation:

Answer:

-18r + 27s

Step-by-step explanation:

You would multiply 2r and -3s by -9.

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

Answer:

Breadth is 4 m and length is 8m

Step-by-step explanation:

Area of the rectangle = Length * breadth

Area of the rectangular goat pen= 32 square meters

Perimeter of the rectangular goat pen = 24 meters

Perimeter of the rectangle = 2(length + breadth)

          24= 2(l+b)

          12= length + breadth

         12- breadth = length ----------- equation A

Area = l*b

32= l*b

32= (12- b) *b

32= 12b- b²

b²-12b+32= 0------------------- equation B

Solving the quadratic equation by factorization

b²- 8b- 4b+32= 0

b(b-8) -4(b-8)= 0

(b-8) = 0

(b-4)= 0

b= 8 or b=4

As breadth is usually smaller than length then putting b= 4 in  equation A

gives

  12- breadth = length

12-4= length

length = 8

Hence breadth is 4 m and length is 8m

Answer:

length = 5 mm

Step-by-step explanation:

area = width x length

20 mm² = 4 mm x length

divide both sides of the equation by 4 mm:

length = 5 mm

Answer:

lenght 5

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

I got it right

Answer:

$21.50

Step-by-step explanation:

Answer:39?

Step-by-step explanation:

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

Answer:

its D

Step-by-step explanation:

[tex]1 + 1 = 2 \\ [/tex]

Answer:

volume = 308 units^3

surface area = 298 units^2

Answer:

i got 722.5, Not sure if this is right but it's what I got

Answer:

you need to rotate the shape to the right into the upper right hand section of the graph

Answer:

1. 7.3

2. 33.3

3. 9.2

4.31.9

5.25.6

6.11

7.42°

8.64°

9.13°

10. 51°

Step-by-step explanation:

Hope this helps.

Answer:

 t2 - 2t - 2 or C. - Hope it helps!

Answer:

36 yards = 1,296 inches.

Answer:

4w.

Step-by-step explanation:

Answer:

A = 81π

Step-by-step explanation:

if circumference is 18π then diameter is 18 and radius is 9

A = πr²

A = 9²π or 81π

Answer:

[tex]X=25.98cm[/tex]

Step-by-step explanation:

From the question we are told that:  

Length of each side [tex]l=30cm[/tex]

Let the triangle be divide by two form a right angle triangle with base angles as [tex]90 \textdegree[/tex](angle of perpendicularity) and [tex]60 \textdegree[/tex] (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

[tex]X=30sin60[/tex]

[tex]X=15\sqrt{3}[/tex]

[tex]X=25.98cm[/tex]

Answer:

2x5 = 10

1xr = 2r

Ans : 10+2r

Step-by-step explanation:

[tex]\huge\boxed{Hi\:there!}[/tex]

We are asked to simplify the given expression using the Distributive Property.

All we have to do is multiply 2 times 5 and r:

2(5+r)

10+2r

[tex]\huge\boxed{Hope\:it\:helps!}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Answer:

$2

Step-by-step explanation:

Divide $20 by 10 for 10 percent.

Answer:

2,455

Step-by-step explanation:

Your monthly payment on a personal loan of $10,000 at a 9% interest rate over a 5-year term would be $208. You would pay $2,455 in total interest over the life of this loan.

Hope this helps! c: