X
-1
0
1
3
Y
10
7
4
-2
find the slope and y-intercept

m =
b =

Answer: 4,5

Step-by-step explanation

The value of ∠GFH=59°, in the given question.

What do you mean by angle?

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.

According to the data in the given question,

We have :

∠EFH=127°

∠EFG=(8x-4)°

∠GFH=(5x+14)°

Now, we have to solve the value of ∠GFH,

∠EFG+∠GFH=∠EFH

Putting the values given and solve for x,

(8x-4)°+(5x+14)°=127°

8x°-4°+5x°+14°=127°

13x°+10°=127°

13x°=127°-10°

13x°=117°

x=9

Then, putting the value of x in ∠GFH,

∠GFH=(5x+14)°

=(5(9)+14)°

=(45+14)°

=59°

Therefore, the value of ∠GFH=59°.

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Part A; The vertical to horizontal ratio of the ramp in the question of 3:15 does not meet the ADA guideline of a vertical to horizontal ratio of 1:12

Part B; The measurement of the ramp that would meet ADA guideline is a vertical to horizontal ratio of 3 feet to 36 feet.

The front entrance of the ramp should therefore be 36 feet away

A ratio  is an indication of the number of times one quantity is contained in another quantity.

The ADA guidelines requires that the rise angle ≤ 4.8°

The vertical ratio of the ramp ≤ 1:12

The distance the handicapped ramp must start = 15 feet from the front entrance

The rise of the ramp estimated by the contractors = 3 feet

Part A; The vertical to horizontal ratio of the ramp in the question = 3/15, which is 1:5

Therefore, the ramp does not meet ADA guidelines that requires a vertical to horizontal ratio of less than or equal to 1:12

Part B:

The ramp can be made to meet ADA guideline, whereby the horizontal distance from the entrance can be be adjusted as follows;

Let d represent the required horizontal distance of the front entrance, we get;

3:d = 1:12

From which we get;

[tex]\dfrac{3}{d} =\dfrac{1}{12}[/tex]

3 × 12 = 1 × d

d = 36

The horizontal distance of the front entrance of the ramp should be 36 feet away.

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The result of each part is

Part 1

3.8% of 25 is 0.95

Part 2

0.2% of 50 is 0.1

Part 3

180.5% of 99 is 178.695

Part 1

The given expression is

3.8% of 25

Here we have to find the 3.8 percentage of 25

Then the mathematical expression will be

25 × 3.8% = 25 × 3.8/100

= 25 × 0.038

= 0.95

Part 2

The given expression is

0.2% of 50

The mathematical expression will be

50 × 0.2% = 50 × 0.2/100

= 50 × 0.002

= 0.1

Part 3

The expression is

180.5% of 99

The mathematical expression will be

99 × 180.5% = 99 × 180.5/100

= 99 × 1.805

= 178.695

Hence, the result of each part is

Part 1

3.8% of 25 is 0.95

Part 2

0.2% of 50 is 0.1

Part 3

180.5% of 99 is 178.695

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have the largest margin of error

The more trials or samples that occur, the greater the chance of making mistakes. or increasing the margin error,

then the sample with a largest margin of error is

flip a coin 1000 times

An equivalent statement is CD overbar congruent to EF overbar.

What is a line segment?

The line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.

Here,

Line segment CD is congruent to line segment EF and in geometry, an overbar represents a line segment.

So, we can say that the CD overbar means line segment CD and the EF overbar means line segment EF.

Hence, An equivalent statement is CD overbar congruent to EF overbar.

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Answer: D. 80 miles

Step-by-step explanation:

if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B

Answer:

D. 80 miles

Step-by-step explanation:

If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:

[tex]\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}[/tex]

In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.

The equation of the line is that passes through (1,4) and (3, -6) is

y = -5x + 9

First, write the equation in slope-intercept form:

y = mx + b

(the m is the slope, and b is the y-intercept)

Now, Lets find the slope(m) of the line by using the formula:

y2-y1/x2-x1

(-6 - 4)/ (3 - 1) = -10/2 = -5

Next, find the y-intercept (b) by using the slope-intercept form equation and substituting -5 in for m and one of the ordered pairs in for x and y:

4 = (-5)(1) + b

b = 9

-OR-

-6 = (-5)(3) + b

b = -6 + 15 = 9

b = 9

Now, we can write the full equation of the line:

y = -5x + 9 is the answer

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Answer:

The coordinate of the initial point is given below as

The coordinate of the terminal point is

Concept:

The formula below will be used to calculate a linear form of v

By substituting the values, we will have

Hence,

The final answer is

The FIRST OPTION is the right answer

Given that the total length of the ribbon on the roll is 5 yards.

Janet cuts 1 (1/3) yards of ribbon from the roll, then the remaining length of ribbon on the roll is calculated as,

Thus, the length of the ribbon left on the roll is 3 (2/3) yards.

So the second option is the correct choice.

Answer: A, E, F

Step-by-step explanation:

The area answers always need to have a square in the unit so B & C are wrong.

D is wrong because it is a unit for volume. So A, E, and F are the right answers.

Answer:

Step-by-step explanation:

[tex]\sf -2(5x + 3y)[/tex]

Apply the Distributive Property:-

[tex]\sf -2\left(5x+3y\right)[/tex]

[tex]\sf -2\times\:5x-2\times\:3y[/tex]

[tex]\sf -2\times\:5x=\bf -10x[/tex]

[tex]\sf 2\times\:3y=\bf 6y[/tex]

[tex]\sf -10x-6y[/tex]

Therefore, your answer is C. -10x - 6y!!

_______________________

Hope this helps you!

Have a great day!

Cost of 3 bus tickets is $ 192 and cost of 4 train tickets is $ 328.

Explain the use of multiplication?

The process of finding the sum of two or more numbers is known as multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. We can rapidly determine the total number of things by multiplying.

When multiplying, we'll consider the number of groups with similar sizes and the number of items in each group.

It is given ,

Cost of each  bus ticket = $ 64

Cost of each train ticket = $ 82

Number of bus ticket = 3

Number of train ticket = 4

Total cost of bus ticket = 3 × 64 = $ 192

Total cost of train ticket = 4 × 82 =  $ 328

Hence , cost of 3 bus tickets is $ 192 and cost of 4 train tickets is $ 328.

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The tip is 20%. Franco and Abelita want to quit the server.

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The percentage thus denotes a component per 100. Percentage refers to a division by 100. The letter "%" stands for it.

Total Amount of Bill=11.72 is an expression that will equal the full amount, including tax and gratuity.

=11.72+11.72×20/100

=11.72+{(0.2)×11.72}

=11.72×(1+0.2)

11.72×1.02

Option C→11.72+0.2×(11.72)

And Option D→11.72×(1.02)

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No. of dimes in the bag will be = 17

In the algebraic form y=mx+b, where m denotes the slope and b the y-intercept, a linear equation is defined as a first-order (linear) term plus a constant. When x and y are the variables, the previous statement is occasionally referred to as a "linear equation of two variables."

5.7 grams -------> one quarter

2.3 grams -------> one dimes

5.7 q + 2.3 d = 141.7

given q = 18

5.7 * 18 + 2.3 d = 141 .7

2.3d = 141.7 - 102.6

2.3 d = 39.1

d = 39.1 / 2.3

d = 17

therefore ,  no. of dimes in the bag will be = 17

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Given:

As angle N is 90 degree.

To find the bearing of flight from Elgin to Canton.

Use the sin ratio,

The bearing angle ( clockwise from north ) can be calculated by subtracting the above angle from the west bearing angle of 270 degree.

Answer: 239.37 degree

The population of the rabbit in 2009

Given that the population of rabbits on an island which is growing exponentially

So let the population be as P = P₀ [tex]e^{bt}[/tex]

where P₀ and b are constants and t = current year - 1994

In 1994, time is equal to 0

the population of rabbit , P = 9,600

so thus the expression becomes

P₀ = 9,600

and in 2000 , t = 2000 - 1994 thus time = 6 years and population of the rabbit is 18,400

[tex]18400 = 9600[/tex] × [tex]e^{b 6}[/tex]

18400 / 9600 = [tex]e^{b 6}[/tex]

23/ 12 = [tex]e^{b 6}[/tex]

Taking log on both sides

ln 1.92/ 6 = b

b = 0.109

On putting the value of P₀ and b the population of the rabbit after t years from 1994 is

P = 9600 × [tex]e^{0.109}[/tex] [tex]^{t}[/tex]

In 2009, t = 2009 - 1994 = 15 years

So, the population of the rabbit in 2009

thus P= 49243

Hence we can say that the population of the rabbit in 2009

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Answer:

It's 28495

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

x²+5x=-6

Collect like terms

x²+5x+6=0

Factors that when multiplied will give us 6 and when added will give us 5 are 2 and 3.

Therefore,

x²+5x+6=0

x²+2x+3x+6=0

Factorizing;

x(x+2)+3(x+2)=0

Pick one (x+2)

(x+2)(x+3)=0

x+2=0 x+3=0

x=2 and x=3

Answer:

True is the correct answer for this

ANSWER

s < 10

EXPLANATION

With the 'less than' or 'greater than' symbol we can see that it's like an equal sign that has been shrinked on one end. In the smallest end we have to write the smallest expression or number and in the largest end we have to write the greatest expression or number.

For example: 5 < 10 is the same as 10 > 5, because the smallest number (5) is in the smallest end of the sign and the greatest number (10) is in the largest end of the sign in both expressions.

If 's' is the number of stamps, the expression says that there are 'less than' 10 stamps at the post office, so 's' has to be in the smallest end of the sign.

The elevation of Melina when she descends by 500 feet is 1500 feet.

An elevation simply means the height above a particular place. It is usually referenced as the sea level.

In this situation, Melina is hiking and is at en elevation of 2000 feet. If she descends by 500 feet. It should be noted that since she descend, we will have to subtract 500 from the initial value that was given as 2000. feet.

Therefore, the calculation will be illustrated through subtraction. This will be:

= 2000 - 500

= 1500 feet.

This implies that when Melina descends, the elevation that she'll be at that point in time is 1500 feet.

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Answer:

the equation would be 1.67x+0

Answer:

$43,500

Step-by-step explanation:

Charge for the month - margin of error

= 45 - 1.5

= $43.50

= 43.50 x 1,000

= $43,500

The exponential decay formula is:

where y is the final cost, a is the initial cost, r is the annual decreasing rate (as a decimal), and t is the time in years.

Substituting with a = $60, r = 0.09, and t = 3 years, we get:

It will cost $45.21 in 3 years

When we have an inequality with the symbols < or >, the boundary line of the solution area will not be included in the solution of the inequality, then in this case that we have y>x+3 the solution set are all the points in the shaded half-plane but does not include points on the line y=x+3, and the answer is true

The distance between point A and point B is 75.6 feet.

Let's set up a right triangle with the lighthouse at the top and the boat at points A and B at the bottom, with the base of the triangle being the horizontal distance between the two points.

We can then use the trigonometric function tangent to solve for the vertical distance between points A and B, which is given by the formula:

tan(angle of elevation) = vertical distance / horizontal distance

For point A, the angle of elevation is 8° and the horizontal distance is 1083 feet. So, the vertical distance from point A to the lighthouse is given by:

tan(8°) = vertical distance / 1083 feet

Solving for the vertical distance gives us:

vertical distance = tan(8°) * 1083 feet

For point B, the angle of elevation is 4° and the horizontal distance is still 1083 feet. So, the vertical distance from point B to the lighthouse is given by:

tan(4°) = vertical distance / 1083 feet

Solving for the vertical distance gives us:

vertical distance = tan(4°) * 1083 feet

Now we can find the distance between points A and B by subtracting the vertical distance from point A to the lighthouse from the vertical distance from point B to the lighthouse. This gives us:

distance between point A and point B = (tan(8°) * 1083 feet) - (tan(4°) * 1083 feet)

Plugging in the numerical values, we get:

Distance between point A and point B = (0.1403 * 1083 feet) - (0.0698 * 1083 feet)

Simplifying, we get: distance between point A and point B = 75.6083 feet

Therefore, the distance between point A and point B is 75.6 feet.

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A right circular cylinder is a three dimensional geometric figure with its top and bottom as circle. The exact surface area for the given cylinder is  10π square cm.

A cylinder is a three dimensional geometric figure.

The volume of a cylinder is given as πr²h, where r is the radius and h is the height of the cylinder.

Given that,

The radius of cylinder r = 1 and one fourth cm

                                       = 1 + 1 / 4 cm

                                       = 5 / 4 cm

The height of cylinder h = 2 and three fourth cm

                                        = 2 + 3 / 4 cm

                                       = 11 / 4 cm.

Since the exact surface area of cylinder is given by 2πr(h+ r), the exact surface area for the given cylinder is given as,

= 2π × (5 / 4 ) × ((11 / 4) +  ( 5 / 4))

= 2π × (5 / 4 ) × 4

= 10π

Hence, the exact surface area for the given cylinder is 10π square cm.

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We will have that Sarah's function is the correct one, since each hour she will get $9, then when we multiply will give us the amount of money she makes in the number of hours.

H = 9h