Solve for X.
21
14
X

42
x = [?]
Enter the number that belongs in the green box.

The ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

From the question, we are to determine the function that the ratio of opposite to hypotenuse describes

By SOH CAH TOA

We have that

[tex]Sine = \frac{Opposite}{Hypotenuse }[/tex]

[tex]Cosine = \frac{Adjacent}{Hypotenuse }[/tex]

and

[tex]Tangent = \frac{Opposite}{Adjacent}[/tex]

Hence, the ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

Learn more on Trigonometry here: https://brainly.com/question/956353

#SPJ1

1.2x10^4

Step-by-step explanation:

2.

negative exponent means it's a fraction so

4.5x10^-3 is 1/4500 or 0.0045 so

it's a very small number

1.

^4 means means move the decimal 4 spots

12×10^4 = 12,000

3.

^3 means move the decimal 3 spots

3.8 x 10^3 =

3800

4.

7.5x10^3 =

7500

Step-by-step explanation:

(2x4 +7) + (5x4 - 4)

=(8+7) + (20-4)

=15+16

= 31

Hope it helps

Answer: Heyaa! ~

Your Answer is... 31!

Step-by-step explanation:

(2x4 +7) + (5x4 - 4) = 31/ 7x⁴+3

Hopefully this helps you ! ^^

The data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively.

It should be noted that data simply means the facts and statistics that are given which are used for analysis.

In this case, the data shows that the number of male, female, adult, and baby moose that are in the park will be 52, 34, 58, and 28 respectively. This can be seen from the information in the table.

Learn more about data on:

brainly.com/question/19243813

#SPJ1

Answer:

if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k

x​

Step-by-step explanation:

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

Family background refers to the culture and tradition of the family into which a person is born.

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

Learn more about family background:https://brainly.com/question/7105836

#SPJ1

Step-by-step explanation:

B) Surface Area

C) Volume

Answer:

not a solution.. simple not needed to explain too

Answer:

272 c

Step-by-step explanation:

Roses by 4 every hour

10 to 1 can be represented in 24 hour time as 10 to 13

13 subtract 10 is 3

3 multiplied by 4 is 12

260 add 12 is 272 c

Answer:

20.00 units

Step-by-step explanation:

The distance between two points with coordinates

(-20,6) and (-20,-14) is:

20.00 units

(results are in decimal form, rounded to the nearest 100th)

Answer:

1/4, 7/8, 7/12, 9/16

LCM of 4,8,12,16 = 48

1/4= 1×12/4×12= 12/48

7/8= 7×6/8×6= 42/48

7/12= 7×4/12×4= 28/48

9/16= 9×3/16×3= 27/48

hence, 7/8 is the largest fraction. I hope it helps ya!!

The largest fraction is 7/8.

Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.

Given fractions,

1/4, 7/8, 7/12, 9/16

LCM of 4,8,12,16 = 48

1/4= 1×12/4×12= 12/48

7/8= 7×6/8×6= 42/48

7/12= 7×4/12×4= 28/48

9/16= 9×3/16×3= 27/48

Since the largest will be the fraction

NUMERATOR > DENOMINATOR

Hence, the largest fraction is 7/8.

Learn more about Least Common Multiple

brainly.com/question/11533141

#SPJ2

The Area of the region bounded by curves = 9 sq.units.

Area is the space occupied by a two dimensional figure on a two dimensional space coordinate.

The two curves given are

x² + 4y - 8 = 0 and x =2y​

Convert the two equation so ‘x’ is the dependent variable.

y = -(1/4) x² +2 and y = (1/2)x

Find the limit by the intersection point of both the graph

so (-4, 2) and (2, 1)

The x-values of the line are greater so subtract the parabola:

A = ∫ (1/2)x - (-(1/4) x² +2 ) in the limits of (-4 and 1)

The Area = 9 sq.units.

To know more about Area

https://brainly.com/question/27683633

#SPJ1

Answer:

x = 10[tex]\sqrt{2}[/tex] , y = 10[tex]\sqrt{6}[/tex]

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{2}[/tex]

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{6}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{6}[/tex]

Answer:

12.56ftcube

Step-by-step explanation:

if V=(3.14×1^2)×4= 3.14 ×4=12.56

realmente no lo se bro per necesito completar este paso

the formula for distance between points is:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Using the points given:

Sqrt((3-7)^2 + (-1 - -2)^2)

Sqrt(-4^2 + 1^2)

None of the answer have a -4 but I think it should be B. Since it is the closest. Did you forget a negative sign when typing??

answer B.

Answer:

x = 7 degrees

Step-by-step explanation:

The unlabelled angle at M   PLUS   12x + 24 = 180

  then   the unlabelled interior angle is  180 - (12x+24)

The sum of the interior angles then = 180

 80 + 4x  +     180-(12x+24) = 180

236 -8x = 180

x = 7

Answer:

Step-by-step explanation:

German  25%

Other 10%

American 50%

Japanese 15%

……………………………………………

6) the probability that the next car worked on

will be Japanese or German :

p(J∪G) = p(J) + p(G) = 15% + 25% = 40%.

…………………………………………………………

7) the probable number of Japanese cars :

[tex]6000\times \frac{15}{100} = 900[/tex]

Answer:

6.23*10^6

Step-by-step explanation:

in standard form, it should be written as x*10^n, and x is only allowed from 1-9, so

1) write the first number and add a decimal point(.) and copy down the numbers behind the first number (DO NOT WRITE 0):

6.23

2) check how many numbers are they behind the first number

6230000

~~~~~~

in here, it's 6numbers, so 10^6

3) all in all, your answer is

6.23*10^6

Answer:

108°

Step-by-step explanation:

From the diagram,

Angle X + Angle CXD = 180°

Angle X + 72° = 180°

Angle X = 180° - 72° = 108°

Answer:

Solution

-1

f

x=

1

-X+

2

Step-by-step explanation:

f(x=2x-7

Solving Steps

y=2x-7

Interchange the variables

x=2y-7

Swap the sides

2y-7=X

Move the constant to the right

2y=X+7

Divide both sides

1

y=

>+*.

7

2

Solution

-1

f

x=

1

-X+

2

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

The time the investment lasted= 12 years.

Simple interest = 1579.05 - 800= $779.05

The principal capital= $800

Rate of the both capital invested;

= SI × 100/P ×T

= 779.05 × 100/800 × 12

= 77,905/9600

= 8.11%

To find the amount of money that Phyllis invested at each given rate,

Rate 1 = 4/8.11× 800

= 3200/8.11

= $394.57

Rate 2 = 6/8.11× 800

= 4800/8.11

= $591.86

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ

Step-by-step explanation:

Total= 19

Each holds 2 litres .

So it means, 19 -4= 15

You need 15 litres of oranges.

Answer:

The area of the trapezoid is 56.25² feet.

Step-by-step explanation:

The formula for the area of a trapezoid is [tex]A=\frac{b+B}{2} h[/tex]

*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.

Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get [tex]A=\frac{7.9+14.6}{2} 5[/tex]. By plugging this into a calculator, you'd get [tex]A=56.25[/tex].

Answer:

2i and -2i

Step-by-step explanation:

I'll change u to x to be easier to understand.

x^2 = -4

sqrt(x^2) = sqrt(-4)

sqrt(-4) = 2i, or -2i