What's the ratio 8 : 2 in it simplist form

Answer:

The angle created between the ladder and tree is \(15.5^{0}\).

Step-by-step explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ = \(\frac{Opposite side}{Adjacent side}\)

         = \(\frac{5}{18}\)

         = 0.2777777777

⇒ θ = \(Tan^{-1}\) 0.2777777777

      = 15.5241

      = \(15.5^{0}\)

Therefore, the angle created between the ladder and tree is \(15.5^{0}\).

\(\huge\text{Hey there!}}\)

\(\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}\)

\(\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark\)

\(\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

SOLUTION

The figure below is a right-angled triangle. To find angle x, we will apply the trig-ratio, that is SOHCAHTOA

Which is

But we will make use of SOH, we have

Hence, the answer is 36.4 to the nearest tenth

Answer:

t= 52 seconds

A= 7,903 ft

Step-by-step explanation:

So start by writing each plane as an expression.

Plane A

3687+65.5*t is an expression for the ascent

Plane B

5000+40.25*t is an expression for the ascent

to find the time when they are at the same altitude set them equal to each other

3687+65.5*t = 5000+40.25*t

25.25*t = 1313

t= 52 seconds

to find the altitude solve one of the expressions with t=52

A =3687+65.5*52= 7093 ft

Answer:

Large boxes are 18.25 kg

Small boxes are 15.25 kg

Step-by-step explanation:

This is a system of equations. You need to set up each equation first.

I am assigning x to be big boxes and y to be small boxes.

5x + 3y = 137

2x + 6y = 128

To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.

-2 ( 5x + 3y = 137)

    2x + 6y = 128

Distribute the -2 to everything in the parentheses in the first equation.

-10x - 6y = -274

2x + 6y = 128

Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:

-8x = -146

Solve for x by dividing by -8.

x = 18.25

Now plug that into one of the original equations.

2(18.25) + 6y = 128.

36.5 + 6y = 128                Subtract 36.5 from each side

-36.5            -36.5

6y = 91.5                          Divide by 6 to solve

y = 15.25

Another estimate is given as L6, R6, and M3 using the velocities at the conclusion of the time periods.

The table provides speedometer readings of velocity for a moving vehicle at 7-second intervals. t (sec) v (ft/s) 0 7 14 21 28 Using the speeds at the start of the time intervals, calculate the distance the car went during this 35-second span. travel distance in feet

Just figure out the rectangles' surface areas. Always draw the picture; it will be really helpful.

L6 = 10(0+9+31+56+71+68) \sR6 = 10(9+31+56+71+68+50) \sM3 = 20(9+56+68)

Learn more about velocity here

https://brainly.com/question/18084516

#SPJ4

The slope of the line that passes through the points ( -4,5) and (2,-3) is -4/3

The slope of a line is a measure of its steepness. It is also called gradient. It is the change in value on the vertical axis to the change in value on the horizontal axis.

Y axis is the vertical axis and x axis is the horizontal axis.

slope = \(y_2 -y_1)/x_2-x_1\)

\(y_2\) = -3

\(y_1\)= 5x2 = 2x1 = -4

slope = -3-5/(2-(-4)

= -8/6

= -4/3

Therefore the slope of the line is -4/3

learn more about slope of line from

https://brainly.com/question/16949303

#SPJ1

Answer:

1) 25%

2) 183.75

3) 187.5

Step-by-step explanation:

1)

Ayla has 16 dogs on her street. Of the 16 dogs on Ayla's street, 4 of them are large dogs.

What percent of dogs on the street are large?

4/16 = 1/4 = 25%

2)

What is 75% of 245?

75% = 0.75

245 x 0.75 = 183.75

So, 75% of 245 is 183.75

3)  187.5

The horse's average speed for the race in units of kilometers per hour will be 178.06.

The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

The conversion is given as,

1 furlong = 0.201168 km

5.50-furlong = 0.201168 x 5.5 km

5.50-furlong = 1.10642 km

1 second = 1/3600 hour

22.37 seconds = 22.37/3600 hour

22.37 seconds = 0.0062 hour

The average speed is calculated as,

Average speed = 1.10642 / 0.0062

Average speed = 178.06 km per hour

The horse's average speed for the race in units of kilometers per hour will be 178.06.

More about the average speed link is given below.

https://brainly.com/question/12322912

#SPJ1

On the factorization of the quadratic equation x² - 10x + 25, we get (x - 5)(x - 5) as the solution. Thus the most appropriate answer to the question is option a.

The quadratic equation is an equation with the highest degree of variable as 2.

We can factorize a quadratic equation by the procedure of middle-term splitting. In this process we do the following:

1. We compare the equation with ax² + bx + x = 0

2. Then we multiply a and c

3. Then we find the factors of the product such that on addition or subtraction it gives b

4. Then we split the middle term into those factors using addition or subtraction operation.

5 Then we take the common factor of the former two and the latter two.

6. The left part is common for both and thus we take that as common and get the answer.

x² - 10x + 25

x² - 5x - 5x + 25

x (x - 5) - 5 (x - 5)

(x - 5)(x -5)

Learn more about Quadratic equations:

https://brainly.com/question/28038123

#SPJ1

Answer:

Number of pennies = 11

Number of dimes = 11

Number of quarters = 8

Step-by-step explanation:

Given:

Total number of coins = 30

Number of pennies = Number of dimes

Total value = $3.21 = 321 penny

Computation:

Assume:

Number of pennies = x

So,

Number of dimes = x

Number of quarters = 30 -x- x = 30 - 2x

Value of pennies = x

Value of dimes = 10 x

Value value of quarters = 25[30 - 2x] = 750 - 50 x

Total value = x + 10x + 750 - 50x

39x = 429

x = 11

Number of pennies = 11

Number of dimes = 11

Number of quarters = 30 - 11 -11 = 8

(1) The length of side BC is 9 cm.

(2) The length of side PQ is 5.385 m.

(3) The length of side UW is 6.71 mm.

(4) The length of side XZ is 14.32 mm.

(5) The length of side EF is  6 cm.

The missing lengths of the right triangle is calculated by applying the Pythagoras theorem formula.

(1) The length of side BC is calculated as;

BC = √ (15² - 12² )

BC = 9 cm

(2) The length of side PQ is calculated as;

PQ = √ (5² + 2² )

PQ = 5.385 m

(3) The length of side UW is calculated as;

UW = √ (9² - 6² )

UW = 6.71 mm

(4) The length of side XZ is calculated as;

XZ = √ (14² + 3² )

XZ = 14.32 mm

(5) The length of side EF is calculated as;

EF = √ (10² - 8² )

EF = 6 cm

Learn more about lengths of right triangles here: https://brainly.com/question/30413094

#SPJ1

Answer:

Part A. Holli earns more per hour. Holli makes $0.50 more per hour than Melissa.

Part B. y = 8.75x + 4

The amount of salt in the tank using differential equation at time t>0 is given by a(t) = 400 -350(e ^-t/200 ).

Volume of the tank = 400 gallons

Salt added in initial amount = 50 pounds

Entering of the solution is :

\(S_{in}\) = 3 gal / min × 3 lb/gal

     = 9 lb / min

Amount of salt is a(t) .

Concentration 'C(t) ' = amount / volume

                                 = a(t) / 400

\(S_{out}\) = ( a(t) / 400 ) × 2 gal/min

      = a(t) / 200

Differential equation for the amount of salt a(t) is :

da/ dt = \(S_{in} - S_{out}\)

          = 9 - a(t) / 200

⇒ da/dt + a(t) / 200 = 9

Multiply both the side by integrating factor e\(e^{\int\ {\frac{1}{200} } \, dt} = e^{{\frac{t}{200} }}\)

⇒ da/dt × e ^t/200 + a(t) / 200 × e ^t/200= 9 × e ^t/200

⇒ ( a  e ^t/200 )' = 2( e ^t/200)

Integrate it:

⇒ a  e ^t/200  = 2 × 200 ×  e ^t/200  + c

⇒ a(t) = 400 + c × e ^-t/200

t = 0,  a(t) = 50

⇒ 50 = 400 + c × e^0

⇒ c = -350

Therefore, the amount of salt determined by the differential equation is equal to a(t) = 400 -350(e ^-t/200 ).

Learn more about differential equation here

brainly.com/question/14620493

#SPJ4

Answer:

p = \(\frac{q-4}{3}\)

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> \(\frac{3p}{3} =\frac{q-4}{3}\)

=> p = \(\frac{q - 4}{3}\)

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

Answer:

x≥6

Step-by-step explanation:

Answer:

0.13188 km

Step-by-step explanation:

The distance covered by the bicycle wheel can be calculated using the formula:

distance = circumference x number of revolutions

The circumference of the wheel can be calculated using the formula:

circumference = 2 x pi x radius

where pi is approximately equal to 3.14.

Substituting the given values:

circumference = 2 x 3.14 x 30 cm

circumference = 188.4 cm

Now, we can calculate the distance covered by the wheel:

distance = circumference x number of revolutions

distance = 188.4 cm x 70

distance = 13188 cm

To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):

distance = 13188 cm ÷ 100,000

distance = 0.13188 km

Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.

Answer: feet to miles

Step-by-step explanation:

Answer:

feet to miles

Step-by-step explanation:

feet to miles is the possible conversion

because the rest are two different type of measurements

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

To know more about the statistics

https://brainly.com/question/15525560

#SPJ4

Answer:

it has more than 2 factor

Answer:

I think its b I'm pretty sure

Answer:

r = 5mm

Step-by-step explanation:

When two shapes are similar, They are the same shape but with 1 or more basic transformations(dilations, reflections, rotations, and translations.). All sides on the new shape (green) are similar to the original shape (blue), meaning they were all dilated by the same scale factor.

First, we need to find our scale factor. To find our scale factor, take 10 and divide it by 4 (These sides are similar and we have established values so we can be sure our scale factor is correct by using these.).

10/4 = 2.5

So, our scale factor is 2.5.

Now, to solve for r, we need to find it's similar side (in this case it's 2 mm.).

Now, simply multiply the original size by our scale factor.

2 * 2.5 = 5.

So, r = 5 mm (Don't forget units, teachers hate that.)

Answer:

F

Step-by-step explanation:

1(10) + 12= 22

2(10) + 12= 32

etc.....

Because 9 × 10 equals 90

Then 7×90=7×9×10

Answer:

Step-by-step explanation:

Answer:

A) 30°

Step-by-step explanation:

All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°

Answer:

m Is 30

Step-by-step explanation:

m is 30

because....the sum of angles in a triangle is 180

75+75+m =180

150+m=180

make m the subject of the formula

m=180-150

m=30

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

Additional comments

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.