HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to

determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.

(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?

(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.​

2x-1 < x+3

5x-1 > 6-2x

x-5 < 0

solve the inequality for x.

x < 4

x > 1

X < 5

find the intersection

X ∑ {1,4}

Alternative form: {x I 1 < x < 4}

∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.

Answer:

500,000 =

 5 × 100,000  

+ 0 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 0 × 1  

Step-by-step explanation:

there are more then one ways of writing this so here's another example

500,000 =

 500,000  

+ 0  

+ 0  

+ 0  

+ 0  

+ 0  

Answer:

The correct value of x is 15.

Step-by-step explanation:

Each side of the larger trapezoid is 5 times each corresponding side of the smaller trapezoid.

The expression written in another way is -9 + m

Expressions are mathematical statements that are represented by variables, coefficients and constants

The expression is given as:

m - 9

By the subtraction property of an equation, we have

a - b = -b + a

x - y = -y + x

Using the above equations as a guide, we have

m - 9 = -9 + m

Hence, the expression written in another way is -9 + m

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The greatest common factor for 4x³+16x² +8x is 4x(x2- 4x - 2).

This solution focuses on simplification:

4x(x2-4x-2)

(4(x3)-24x2)-8x

(22x3-24x2) -8x

Take similar factors aside:

4x3-16x2-8= 4x(x2-4x-2)

Factoring  x2 - 4x - 2

x2 is the initial term, and it has a coefficient of 1.

The coefficient of the intermediate term, which would be -4x, is 4.

"The constant," the final term, is -2.

Multiply the constant by the coefficient of the first term. 1  -2 = -2

The second step is to find two -2 factors whose sum is equal to the -4 coefficient of the middle word.

-2 + 1 = -1

-1 + 2 = 1

No two of these factors can be discovered!!

Trinomial cannot be factored.

Hence,  The greatest common factor is  4x(x2- 4x - 2).

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Answer:

Step-by-step explanation:

The greater proportion is 36/104 since 34.62% is greater than 32.11%.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) indicates the hundredth part; consequently, 100 percent represents the complete amount and 200 percent specifies times the supplied quantity.

Given fractions are = 35/109 and 36/104

finding the greater fraction we express them as a percentages:

So the first fraction will be:

(35/109 ) * 100

= 3500/109

= 32.11%

For the second equation:

(36/104) * 100

= 3600/104

= 34.62%

The greater proportion is 36/104 since 34.62% is greater than 32.11%.

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Answer: c

Step-by-step explanation:

C is correct

The point on the graph at the function value f(x)=1 is x = -4/5

The equation of the function is given as:

f(x) = 2 - x4x + 6

Rewrite the rational function, properly as follows:

f(x) = 2 - x/4x + 6

When f(x) =  1, we have:

2 - x/4x + 6  = 1

Cross multiply

2 - x = 4x + 6

Collect the like terms

4x + x = 2 - 6

Evaluate the like terms

5x = -4

Divide by 5

x = -4/5

Hence, the point on the graph at the function value f(x)=1 is x = -4/5

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a) James have to invest 5,248 dollar and 89 cent to earn $7,592 amount of interest in 16 years .

b) Principal amount of money , which is to be invested is 4158 dollar and 46 cent .

This is a problem from  simple interest system. We have to use the given formula, I = p.r.t to solve this problem.

a) James wants to have earned $7,592 amount of interest in 16 years. So, here the time period is 16 years and the interest rate is 9.04% and we have to find the principal amount.

I = p. 16. ( 9.04% )

Amount of interest = $ 7592

Time period = 16 years

rate of interest = 9.04 %

7592 = p . 16 . ( 904/10000 )

p = 75920000/ 16 . 904

or , p = $5,248.89 ≈ $5249

James have to invest $5,248.89 to earn $7,592 amount of interest in 16 years .

b) We have to use the given formula to find the value of p or the principal amount of money .

Rate of interest = 8.63% or .0863

time period = 24 years

Interest = $8613

We can write ,

p = I / r.t

p = 8613 / 24 . ( .0863 ) = $ 4,158.458 = $ 4,158.46

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The area of the given figure is 70 square units, that is, option 3.

The area of a rectangle = length × breadth

Here, we need to find the area of the shaded region.

To do this, we will subtract the area of the smaller rectangle from the larger one.

The area of the larger rectangle = 8 × 15

= 120 square units

Now, the we have one side of the smaller rectangle which is 5, the other side will be (15 - 4 - 1) = 10 units.

The area of the smaller rectangle = 10 × 5

= 50 square units

Thus, the area of the shaded region = 120 - 50

= 70 square units

Hence, the area of the figure is 70 square units.

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Your question was incomplete. Please find the missing figure below.

Answer: It is important to follow the order of operations because you want to make sure you get an accurate result and it ensures that you can understand and approach a mathematical problem easily. It's also important too because it sets a standard of how to solve equation so without it, equations could have multiple answers and that won't be right.

Answer:

Step-by-step explanation:

commutative

5. identify

The required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.

Given that,
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of miles be m,
Cost of the taxi of m miles = 3.50m
according to the question,
2.50 + 3.50m = 79.50

Thus, the required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.

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Answer:

the answer is c(4)

Step-by-step explanation:

30/2=15

30/3=10

30/4= not an interger(7.5)

30/5=6

30/6=5

this is the reason why c is not an interger because all other is a whole number while c is a decimal

To graph an equation on the co-ordinate plane we plot points that satisfy the given equation .

The graph of a linear equation is two variables gives a straight line on the co-ordinate plane.

the given equation is y=3x-5

at x=0 ,y=3×0-5 or y=-5

at x=2 , y=(3×2)-5 or y=1

at x=-1,y=(3×-1)-5 or y=-8

Now we make the table to get the desired points.

x               y                    point

0              -5                  A (0,-5)

2               1                   C(2,1)

-1             -11               B (-1,-8)

The graph for the equation y=3x-5 is drawn.

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The percent of error to the nearest hundredth percent is 16.82 % when the estimated mass is 500 g and the actual mass is 428 g.

We are given that:

Some students estimated that a small block of Copper will have the mass = 500 g

Estimated mass = 500 g

But now, the actual mass was found out and it came = 428 g

Actual mass = 428 g

The error in estimation was:

Error = 500 g - 428 g

Error = 72 g

Percentage of error = 72 g / 428 g × 100

Percentage of error = 7200 g / 428 g %

Percentage of error = 16.82 %

Therefore, we get that the percent of error to the nearest hundredth percent is 16.82 %.

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Answer:

-5/40

Step-by-step explanation:

(1/40)(4) + (10/40)(2) - (29/40)(1)

Answer: 123050000

Step-by-step explanation:

don't take this down again :)

Answer:

Step-by-step explanation:

it should be 53.231 i think

Answer:

1 out of 6 part of time 15 and 3 mains time 15 and 3 has 6 parts and that you should take one out of this six paths

1/6 (15 x 3) = 1/6. x 45 = 15/2

then,multiple by 5

15/2 × 575/2 = 37 1/2

The magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart is 2N.

The repulsive force between two charges = (k q₁ q₂)/r²

q₁ q₂ are the charges

r is distance between the charges

k= 9×10⁹ Nm²C²

F= (500μC) (+100μC)9×10⁹/25

 = 2N

A movement between two charges that are same or comparable is referred to as repulsion. The tension between two electrons (negative charge). Two charges of a different sort are drawn toward one another by the force of attraction, which is defined as "a force between two charges that are distinct or different."

At a distance, magnetism is an attractive or repulsive force. The repulsive force gives rise to a metric that measures how a system's gravitational mass changes. According to the force-based approach, the forces that attract and repel other atoms come from their subatomic arrangement and control how they behave.

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The best description of range is (b) The y-values on a graph.

A graph is characterized by the following concepts:

The domain of a function is the set of input values of the graph

On the other hand, the range of a function is the set of output values of the graph

This in other word means that the range is the y-values on a graph.

Hence, the best description of range is (b) The y-values on a graph.

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Answer:

its B

Step-by-step explanation:

the y values on the graph

i did the quiz and got a 100

Answer:

The unknow number is 5.

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.

4 + 7 = 11

11 + x = 16

2. Isolate the varable by subtracting 11 from both sides of the equation.

11 + x = 16

- 11 - 11

x = 5

The unknow number is 5.

Check:

11 + 5 = 16

16 = 16

True statement.

Using relations in a right triangle, it is found that the distance between the towns is of 15 km.

The relations in a right triangle are given as follows:

For the first town, we have that:

Hence:

tan(37º) = xA/10

xA = 10 x tan(37º).

xA = 7.5 km.

For the second town, we have that:

Hence:

tan(66º) = xB/10

xB = 10 x tan(66º).

xB = 22.5 km.

Hence the distance is:

22.5 km - 7.5 km = 15 km.

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Answer:

20.02

Step-by-step explanation:

maths calc

The measure of both angles A and B

Angle A= 16(7.8)+5= 129.8

Angle B =13(7.8)+4= 105.4

A hexagon can be defined as a closed two-dimensional polygon with six sides.

Hexagon has 6 vertices and 6 angles also.

Hexa means six and gonia means angles.

According to the given statement;

Hexagons have six sides, and so does this figure.

You can calculate the degrees in a shape by doing (n-2)180. With n being the number of sides(6)

There are 720 degrees in a hexagon.

1) Now write the following equation:

(16x+7)+(13x+2)+95+170+155+88=720

2) Combine alike terms:

26x+517=720

3) Subtract 538 from both sides:

26x=203

4) Divide both sides by 26

x=7.8

5) Plug in 7.8 as X in the original two equations for A and B

A- 16(7.8)+5= 129.8

B- 13(7.8)+4= 105.4

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Answer:

(-6, -8)

Step-by-step explanation:

We have the following system of equations:
[tex]y = 2x+4[/tex]    (1)

and

[tex]y=x-2[/tex]      (2)

Set (1) = (2) since the LHS is y in both

We get

[tex]2x + 4 = x - 2[/tex]

Subtract x from both sides:

[tex]2x + 4 - x = x - 2 -x[/tex]

[tex]x + 4 = -2[/tex]

Subtract 4 from both sides

[tex]x + 4 - 4 = -2 -4[/tex]

[tex]x = -6[/tex]

Substitute for x in Equation (2) to get
[tex]y = -6 - 2 = -8[/tex]

So the solution is (-6, -8)

The exponential form is a way of writing numbers using bases and powers. (-10)^2*3^5 is the expression in exponent form for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .

The exponential form is a way of writing numbers using bases and powers.

Given expression is  (-10) . (-10) . 3 . 3 .3 .3 .3, we need to write in exponent form.

An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

(-10) is 2 times and 3 is five times,

we can write in the form (-10)^2.(3)^5

Therefore the required answer is (-10)^2.(3)^5 for expression  (-10) . (-10) . 3 . 3 .3 .3 .3 .

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