Check if the following items approximate the qolden ratio. Up to 3 decimal places (89)/(55)

The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

The complete question is added as an attachment

From the attached figure, we have:

Exit = 1000 feet

From the question, we have

3 feet = 1 yard

So, the number of yards is

Number of yard =Exit/3 yards

This gives

Number of yard = 1000/3 yards

Evaluate the quotient

Number of yard = 333 1/3 yards

Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards

Read more about mixed numbers at:

https://brainly.com/question/1746829

#SPJ1

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it.

A % is a number without dimensions and without a standard measurement.

How many students were on the honor roll overall as a percentage increase?

In response: The circumstances we are aware of, boys: 144 * 1+25% =144 * 1.25=180 girls: 75 * 1+16% =75 * 1.16=87 144+75. There were 75 females and 144 guys on the honor list at a particular high school last year. In comparison to last year, there were 25% more males and 16% more girls on the honor roll this year.

To learn more about Percentage refer to:

https://brainly.com/question/24877689

#SPJ13

Answer:

x = 18311.61 m

Step-by-step explanation:

It is given that, An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. The distance from the observer (O) to the bird (B) is 15,000 ft. We need to find the distance between the bird and the nest. It is based on trigonometry. So,

\(\sin (35)=\dfrac{\text{opposite}}{\text{hypotenuse}}\)

Let x is the distance between the bird and the nest

So,

\(\sin (55)=\dfrac{15000}{x}\\\\x=\dfrac{15000}{ \sin(55)} \\\\x=18311.61\ m\)

So, the distance between the bird and the nest is 18311.61 m.

Answer:

8,604

Step-by-step explanation:

The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.

It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.

After that, it's vital to move the compasses to where the upper arc crosses the transverse.

In conclusion, the correct option is C.

Learn more about parallel lines on:

https://brainly.com/question/28037521

#SPJ1

Answer:

The answer is A

Step-by-step explanation:

The work W done on the barrel by the force of gravity is 1,461.86 Joules

The formula for calculating the work done is expressed as:

W = Fd sin theta

where

Substitute the given parameters into the formula to have:

W = 500(10)sin17

W = 5000sin17

W = 1,461.86 Joules

Hence the work W done on the barrel by the force of gravity is 1,461.86 Joules

Learn more on workdone here: https://brainly.com/question/25573309

Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

Answer:13,595,327.65

Step-by-step explanation:

Hello!

14.8 = n - 0.3

n - 0.3 = 14.8

n = 14.8 + 0.3

n = 15.1 → value of n

Good luck! :)

Answer:

D: n = 15.1

Step-by-step explanation:

14.8 = n minus 0.3

14.8= n - 0.3

14.8    - is +
+
0.3
=
15.1
:D if u need help with more just ask!
I love this kind of math.

Answer:

165 students or the sophomore class of 220 are not athletic.

Step-by-step explanation:

60/240 = .25 This means that 25% of the class is athletic.  That would mean and .75 or 75% are not athletic.

220 x .75 = 165

The expression for the size of angle BAD in terms of x will be 180 - x.

We know that the angle formed between the radius of a circle and a tangent at the point of contact is always 90 degrees, which means that the angles BAD and CAD are both equal and will be 90 degrees as they are the angles between the radii OB and OD with tangents AB and AD respectively. So the angles BAC and DAC will be (180 - 90 - x) = (90 - x).

In the right triangle ABO, the angle BOA = 90 degrees, so we have: Angle BAD = Angle BAC + Angle BOA = (90 - x) + 90 = 180 - x Thus, the expression for the size of angle BAD in terms of x will be 180 - x.

To know more about expression visit:-

https://brainly.com/question/28170201

#SPJ11

The cooling requirement in tons can be calculated by determining the change in enthalpy of the air during the cooling process. The rate at which water condenses can be calculated by determining the difference in humidity between the initial and final states of the air.

Step 1: Determine the initial and final states of the air.

Given:

Initial temperature, T1 = 38.0 °C

Final temperature, T2 = 16.0 °C

Relative humidity, RH = 95.0%

Air flow rate, Q = 710.0 m³/min

Step 2: Calculate the enthalpy of the air.

Enthalpy of dry air, H = 0.0291[T(°C) - 25]

Initial enthalpy, H1 = 0.0291[T1 - 25]

Final enthalpy, H2 = 0.0291[T2 - 25]

Step 3: Calculate the change in enthalpy.

ΔH = H2 - H1

Step 4: Convert the change in enthalpy to tons of cooling.

1 ton of cooling = 12,000 Btu/h

ΔH_Btu = ΔH * (1.9872 kJ/mol) * (0.0009478 Btu/J)

Cooling requirement in tons = ΔH_Btu / 12,000

Step 5: Calculate the rate of water condensation.

Initial moisture content, M1 = RH * saturation vapor content at T1

Final moisture content, M2 = saturation vapor content at T2

Rate of water condensation = (M1 - M2) * Q / 60

Note: The values for saturation vapor content at T1 and T2 can be obtained from physical property tables for water vapor.

By following these steps and plugging in the appropriate values, you can calculate the cooling requirement in tons and the rate at which water condenses.

To learn more about difference, click here: brainly.com/question/28421241

#SPJ11

Answer:

$0.64

Step-by-step explanation:

A square is the polygon that will always have 4-fold reflectional symmetry.

A square is a polygon with four equal sides and four right angles. It possesses four lines of symmetry, which means that it can be reflected across these lines to produce congruent images. Each line of symmetry divides the square into two equal parts that are mirror images of each other. The four lines of symmetry in a square are the vertical line passing through the midpoint of each pair of opposite sides and the horizontal line passing through the midpoint of each pair of opposite sides. This reflectional symmetry property makes the square ideal for applications where symmetry is desired, such as tile patterns or architectural designs.

Learn more about polygon  here

brainly.com/question/28276384

#SPJ11

Answer:

Y = 1

Y = -7

Y = -3

Y = 5

Y = 11

Step-by-step explanation:

substitute each value of x in x of Y =2x - 3

For example:-

x = 2

Equation = Y = 2x -3

Therefore, replacing x with 2

Y = 2(2) -3....

Y = 4 - 3

Y = 1

If you do this same method for others, you will get the right answer.......

x = -2

Equation = Y = 2x -3

Therefore, replacing x with 2

Y = 2(-2) -3....

Y = -4 - 3

Y = -7

....and so on

There were 65 more adults than students who bought tickets to the concert.

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Let the number of discounted student tickets sold be x.

Then the number of adult tickets sold is 10 more than twice x, which is 2x+10.

The total number of tickets sold is the sum of the student and adult tickets, which is x + (2x+10) = 3x+10.

We know that the total number of tickets sold is 175, so:

3x+10 = 175

Subtracting 10 from both sides gives:

3x = 165

Dividing by 3 gives:

x = 55

Thus, the number of discounted student tickets sold is 55, and the number of adult tickets sold is:

2x+10 = 2(55) + 10 = 120.

The number of adults who bought tickets is 120, and the number of students who bought tickets is 55.

difference = 120 - 55 = 65

Therefore, there were 65 more adults than students who bought tickets to the concert.

Learn more about word problems on:

brainly.com/question/13818690

#SPJ1

Answer:

\(\huge\boxed{\sf 8 + 4\sqrt{2} \ cm }\)

Step-by-step explanation:

\(\theta = 45 \textdegree\)

opposite = 4 cm

Using tan first to find the adjacent side:

\(\displaystyle tan \theta = \frac{opposite}{adjacent} \\\\tan \ 45 = \frac{4}{adjacent}\\\\1 = \frac{4}{adjacent} \\\\Multiply \ 'adjacent' \ to \ both \ sides\\\\adjacent = 4 \ cm\)

Finding Hypotenuse now by using Pythagorean theorem:

\((Hyp)^2 = (base)^2 + (perp)^2\)

where base = 4, hyp = 4

(Hyp)² = (4)² + (4)²

(Hyp)² = 16 + 16

(Hyp)² = 32

Take sqrt on both sides

\(Hyp = 4\sqrt{2}\) cm

Exact perimeter of triangle:

= base + perpendicular + hypotenuse

= 4 + 4 + 4√2

= \(8 + 4\sqrt{2}\) cm

\(\rule[225]{225}{2}\)

So to calculate 5 with an exponent of 3, you can write 5, 3 times with a multiplication symbol between them like so: 5 · 5 · 5 When we multiply them together, we get the answer to 5 with an exponent of 3.

9514 1404 393

Answer:

  translate <-6, 0>, reflect over x

Step-by-step explanation:

Point D is at the top in the pre-image and at the bottom in the image, so a vertical reflection is indicated. Only the 1st and 3rd choices show a reflection over the x-axis.

The image is to the left of the pre-image by 6 units, so the translation is in the negative direction. Only the 3rd choice has that.

The area of the composite figure is 89.065 ft^2

We can divide the figure into 3 simpler ones, these are:

A rectangle of 5ft by 2 ft

A rectangle of 8ft by 9 ft

A fourth of a circle of radius R = 3ft

Remember that the area of a circle of radius R is:

A = 3.14*R^2

Then the area of the fourth a circle of radius R = 3ft is:

a = (1/4)*3.14*(3ft)^2 = 7.065 ft^2

And the areas of the rectangles are equal to the product between the dimensions, so the areas are:

a' = 5ft*2ft = 10ft^2

a'' = 8ft*9ft = 72 ft^2

The total area is the sum of these:

7.065 ft^2 + 10ft^2 +72ft^2 = 89.065 ft^2

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

use tiger math and use the camera feature it shows steps also I know teachers can be a pain in the butt i go to high school this year so yeah

b.) Given:

To determine whether the pair of the equations parallel perpendicular or neither:

Let us write it in slope intercept form,

The slopes are,

Since,

Hence, the lines are neither parallel nor perpendicular.

So, the answer is neither.

For the total expenditures to be similar, each car must travel  165.79 x 10^3 miles or 1.6579 x 10^5  miles during its lifetime.

The cost of the first automobile is $3.25 x 10^4, and its fuel efficiency is 25.0 miles/gallon of fuel.

The cost of the second automobile is $4.71 x 10^4, and its fuel efficiency is 17.0 km/liter of fuel.

The cost of fuel is $3.50/gallon.

The lifetime of each vehicle requires calculating the number of miles that each automobile must travel for the total cost (purchase cost + fuel cost) to be equivalent.

The total fuel cost of the first vehicle is:

Total Fuel Cost 1 = Fuel Efficiency 1 / Fuel Cost Per Gallon

= 25.0 / 3.50

= 7.1429

The total fuel cost of the second vehicle is:

Total Fuel Cost 2 = Fuel Efficiency 2 * Fuel Cost Per Gallon / Km Per Mile

= 17.0 * 3.50 / 0.621371

= 95.2449

The total cost of the first vehicle for a lifetime of x miles driven is:

Total Cost 1 = Purchase Cost 1 + Fuel Cost 1x

= $3.25 x 10^4 + 7.1429x

The total cost of the second vehicle for a lifetime of x miles driven is:

Total Cost 2 = Purchase Cost 2 + Fuel Cost 2x

= $4.71 x 10^4 + 95.2449x

To find the number of miles each vehicle must travel in its lifetime for the total costs to be equivalent, we need to solve these simultaneous equations by setting them equal to each other:

$3.25 x 10^4 + 7.1429x = $4.71 x 10^4 + 95.2449x

Simplifying the equation:

-$1.46 x 10^4 = 88.102 x - $1.46 x 10^4

Solving for x:

x = 165.79

Therefore, the number of miles that each vehicle must travel in its lifetime for the total costs to be equivalent is 165.79 x 10^3 miles or 1.6579 x 10^5 miles.

Learn more about total expenditures

https://brainly.com/question/31197660

#SPJ11

Answer:

y = 10x + 20.

Step-by-step explanation:

Slope of the line = (60-30) / (4 - 1)

                            = 30/3

                            = 10

y-intercept = 20

Formula is y = mx + c where m = slope and c = y-intercept

So, the answer is y = 10x + 20.

Answer:

CGIA

Step-by-step explanation:

C is the first line, G is the second, I is the third, and A is the fourth.

I graphed it all. If I helped you, give me brainliest

Answer:

its #####

Step-by-step explanation:

first you have to##### and then you pls give me points because a need help with some stuff

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

Answer:

Let the length be x and the width be y.

x+3=2y

2x+2y=60

So, 2y=60-2x

60-2x=x+3

60=3x+3

57=3x

x=19

If x=19, then y=11

So, the dimensions are: length 19, width 11.

Let me know if this helps!