Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5°) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp.

The equation of a line through the origin and (-5,6) is y =  -1.2x

It is important to note that the equation of a line is expressed as;

y = mx + c

Where;

From the information given, we have the points;

(0, 0) and ( -5, 6)

The formula for slope is given as;

slope, m = y₂ - y₁/ x₂ -x₁

slope, m = 6 - 0/ -5 - 0

slope, m = 6/ -5

slope, m = - 1. 2

To determine the intercept, we have;

6 = -1. 2(-5) + c

expand the bracket

c = 6 - 6

c = 0

The equation is given as;

y = -1.2x

Hence, the equation is y = -1.2x

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Answer: Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles. They are seen everywhere, for example, in equilateral triangles, isosceles triangles, or when a transversal intersects two parallel lines.

Step-by-step explanation:

EXPLANATION

Given the equation:

2(x+7) = 6x + 9 -4x

Applying distributive property:

2x + 14 = 6x + 9 -4x

Adding similar terms:

2x + 14 = 2x + 9

Subtracting -2x to both sides:

14 ≠ 9

--->The equation hasn't got solution.

Answer:

y=2x+5, y=4x, y=-3+9/2x

Step-by-step explanation:

8x+4y=20 turns into:

y=2x+5

3y-12x=0 turns into:

y=4x

9x-2y=6 turns into:

y=-3+9/2x

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

Check casher;

A check casher is someone who works in the check-cashing industry, with the exception of someone who doesn't cash checks for others on any one day that total more than $1,000 in cash, money, or other assets.

Disadvantage of Check cashers;

Fees for cash checking services can be as low as $1 or as much as 2% of the check amount depending on where you are. These costs reduce one's capacity to make ends meet or have extra money available. Always be aware of the prices and fees before using a check cashing service.

That is,

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

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Its a bill question , and percentages

20% of $90.00 .

then 10% of $90 is 9 dollars

so then 2x10% = 20% of $90 is 2x9= 18 dollars

Now add then original pay to tip Pay ,

then

Pay original + Tip = $90 + 18 = $108 dollars

Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

So, more pink sand is available to each girl:

Sand available to each girl:

Pink sand more to each girl:

Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

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As a first step we are going to isolate y in both equations:

(1) y=7x-2

(2) -2y=-14x+3

y=7x-3/2

Since they have the same slope 7, that mean these lines are parallel

Answer:[tex]\left(x^2+1\right)\left(5x^6-5x^4+5x^2-6\right)[/tex]

Step-by-step explanation:

The area of the rectangle is, 128 square inches.

What is perimeter, area?

The area of a shape or figure is the area it occupies, whereas the perimeter of a shape is the distance it encircles on all sides. 

The square unit or unit2 is used as the unit of area, and the unit is also used for the perimeter.

Given: A rectangle has a length that is twice the size of its width. The perimeter of the rectangle is 48 inches.

Suppose the width of the rectangle is x.

So, the length is 2x.

As perimeter is 48 inches.

So, x + x + 2x + 2x = 48

6x = 48

x = 8 inch.

The width of the rectangle is 8 inches.

Therefore, the length of the rectangle is 2x = 2(8) = 16 inches.

Now to find area of the rectangle,

Since,

Area of rectangle =  length x width

                             =  16 x 8

Area of rectangle = 128 inch^2.

Therefore, the area of the rectangle is 128 square inches.

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Answer:

answer of 1st picture

second is not under standing much

Answer:

your answer is in the screenshot

Step-by-step explanation:

If m || n and line t cuts them, the value of x is 17 degree

Given that, the line m || line n. and we need to find the value of x

If two lines are parallel and a transversal cuts them then the corresponding alternate interior angles are equal.

Here, line m and line are parallel anf the transversal t cuts them, so the alternate interior angles will be same

2x - 5 = 3x - 22

2x - 3x = - 22 + 5

- x = - 17

x = 17

Therefore, if m || n and line t cuts them,  the value of x is 17 degree

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Recall the definition of the cosecant function in terms of the sine function:

Draw the angle -210º in the unit circle to find a reference triangle for that angle:

Notice that a 30-60-90 triangle is formed:

Since the side opposite to the 30º angle has a length of 1/2, then:

On the other hand, notice that since the angle of -210º lies in the second quadrant, then the value of sin(-210º) is positive:

Use the definition of the cosecant function to find csc(-210º):

Therefore, the value of csc(-210º) is equal to 2.

The value of the coordinates of the median AM is (0.5, -1.5)

Given: A(0,1), B(1, -4), C(5,2)

Consider the image attached:

The distance AM is the midpoint of the distance AB. So we can use the midpoint formula:

Xm = (Xa + Xb) /2 and Ym = Ya + Yb/2

Where Xm and Ym are the x and y coordinates of the midpoint M

SInce A(0,1): Xa = 0, Ya = 1

Also B(1, -4);  Xb = 1, Yb = -4

Xm = 0 + 1/2 = 1/2 = 0.5

Ym = 1 + (- 4)/2  = -3/2 = -1.5

Therefore, the coordinates of the median AM is (0.5, -1.5)

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An average speed can be calculated from a distance time graph through the division is change in distance and change in its corresponding time.

A distance time graph is a type of graph that show the distance covered by an object with respect to time.

When plotting a distance time graph, the distance is plotted in the y-axis while time is plotted of the X -axis and a suitable scale of used to fill in the observed figures.

Speed is the product of distance travelled by an object with respect to its time. Therefore, an average speed can be calculated through the division is change in distance and change in its corresponding time.

That is ; average speed= ∆speed/∆ time

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A sale price for the bicycles that would allow this company to achieve a profit of $189,800 is: B. $230.

In order to determine the sale price for the bicycles that would make it possible for this company to achieve a profit of $189,800, we would simply evaluate the profit function by substituting the value of the profit as follows:

P(x) = −2x² + 920x + 84,000

189,800 = −2x² + 920x + 84,000

Re-arranging the profit function by collecting like terms, we have:

2x² + 920x + 189,800 - 84, 000 = 0

2x² - 920x + 105,800 = 0

Dividing both sides by 2, we have:

x² - 460x + 52,900 = 0

Next, we would solve the quadratic equation by using factorization method:

x² - 230x  -230x + 52,900 = 0

x(x - 230) + 230(x - 230) = 0

(x - 230)(x + 230) = 0

x = 230 or -230

Since the price cannot be negative, the required sale price for this company is equal to $230.

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Complete Question:

A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function P(x) = −2x² + 920x + 84,000, where x is the price of each bicycle. Which of the following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?

A. $210

B. $230

C. $250

D. $270

We will have that the lateral area will be the following:

*First, we can see that if we were to cut a straight vertical line and unfold the label, we would get a rectangle, thus the surface area of the label will be given by:

Here h is the height of the label and C is the circumference of the base, that is:

Now, we determine the radius of the base, that is:

Now, we replace the values and solve for the surface area:

So, the surface area of the label on the can is approximately 32.7 squared inches.

In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).

Hence the z score = 1.5550

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Answer: W=−1/10

Step-by-step explanation:

Move all terms not containing

W

to the right side of the equation.

Exact Form:

W=−1/10

Decimal Form:

W=−0.1

For all the given reactions there is a type name for it they are,

1. A + B → AB

2. AB → A + B

3. Hydrocarbon + O₂ → CO₂ + H₂O

4. AB + CD → AD + CB

All the above-mentioned chemical reactions are of the following types

1 → Synthesis

2 → Decomposition

3 → Combustion

4 → Replacement

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Explanation

Step 1

get the slope-intercep form_

we need to use the function to graph the line,so let's convert the given equation in the slope-intercept form,to do that, isolate y

so

so, the equation of the line is

Step 2

now, let's use the equation to find 2 coordiantes of the line

a) for x =0

b) for x= 3

Step 3

finally, draw a line that passes through the points (0,0) and (3,2)

I hope this helps you

Answer: 26.25%  basketball practice

Step-by-step explanation: At basketball practice I made 21 out of 80 shots.

Therefore the percentage of shots I made is = 21/80×100%

                                                                          =26.25%

The lengths of the major and minor axis of the ellipse, [tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex] are;

An ellipse describes the locus of a point on a curve, such that the sum of the distance from two focal points from the points on the curve is a constant.

The given given function of the ellipse can be presented as follows;

[tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex]

The above equation can be compared to the standard equation of an ellipse as follows;

[tex] \displaystyle{ \frac{ {(x - h)}^{2} }{ {b}^{2} } +\frac{ {(y - k)}^{2} }{ {a}^{2} } = 1}[/tex]

Where;

(h, k) = The coordinates of the center of the ellipse

a = The length of the semi major axis

b = The length of the semi minor axis

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2•√6

b = √(12) = 2•√3

The length of the major axis = 2•a

The length of the minor axis = 2•b

The length of the major axis is therefore;

2•a = 2 × 2•√6 = 4•√6

The length of the minor axis is therefore;

2•b = 2 × 2•√3 = 4•√3

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Answer:

b = 18

The mortar is 17 times ( 3 / 8 ) tall.

The brick height is equal to 18 times ( 2 + ( 1 / 4 ) ).

I don't know the options, so you have to use those values.

Step-by-step explanation:

The question uses imperial units which are generally bad.

12 inches = 1 feet;

The height of the wall should be written in inches for convenience.

4 feet = 4 * 12 inches;

4 feet = 48 inches;

The wall is short 1 + ( 1 / 8 ) inches short of 4 feet.

48 inches - ( 1 + ( 1 / 8 ) inches ) = 46 + ( 7 / 8 ) inches;

Now that the wall is done let's do the bricks. The height of the bricks is 2 + ( 1 / 4 ) inches and the mortar is ( 3 / 8 ) inches tall. The amount of mortar is the number of bricks - 1 because nobody puts extra mortar on the top of the wall.

let b;

46 + ( 7 / 8 ) = b( 2 + ( 1 / 4 ) ) + ( b - 1 )( 3 / 8 );

375 / 8 = b( 9 / 4 ) + ( 3 / 8 )b - ( 3 / 8 );

375 / 8 = ( ( 9 / 4 ) + ( 3 / 8 ) )b - ( 3 / 8 );

375 / 8 = ( ( 18 / 8 ) + ( 3 / 8 ) )b - ( 3 / 8 );

375 / 8 = ( 21 / 8 )b - ( 3 / 8 );

Multiply both sides by 8 to get rid of those annoying fractions.

375 = 21b - 3;

Add 3 to both sides.

378 = 21b;

Divide both sides by 21.

18 = b;

For this problem we use the arcs and chords theorem we know that

Solving for x we get:

Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.

mDH=172 degrees.