You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake.

You Can Calculate The Width Of The Lake Using A Surveying Technique, As Shown In The Diagram. Find The

Answers

Answer 1

Step-by-step explanation:

Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.

This means that triangle VWX is similar to triangle YZX.

So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.

120/8 = 15 = WX / 6.

So the width is 90 m.


Related Questions

a porsche, can travel 576 m in 32 s. what is its average speed?​

Answers

Step-by-step explanation:

Displacement = 576 m

Time taken = 32s

Now

[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

Definition of Pythagorean Theorem: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides

     (look at the diagram attached for a better understanding)

Information Given:

length of the two legs: 5, 9

Information Wanted:

length of hypotenuse

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

Question 7 options:

5/7

7/5

2


9/7

Answers

Answer:

5/7.

Step-by-step explanation:

The rise = 5 and the corresponding run si 7.

Answer:

5/7

Step-by-step explanation:

so we start at the point (0,0). the slope is essentially

Rise/Run

so in this graph we see a point of (7,5)

the rise was 5 along the y axis and the run was 7 along the x axis.

so 5/7 is correct

whats -2( 20x + 2) = -36

Answers

Answer:

[tex]x= \dfrac 45[/tex]

Step by step explanation:

[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]

What is the distance between points (8,3) and (53,31) on a coordinate plane?

Answers

Answer:

53 units

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]

Thus, the distance between the two points is 53 units

PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!! ​

Answers

Answer:

2.924

Step-by-step explanation:

First you'll solve the parenthesis:

...- (5.5-5.5)

...-(0)

Now solve the equation:

[tex]\sqrt[3]{5^{2} - 0}[/tex]

[tex]\sqrt[3]{25}[/tex]

Now solve fully

I hope this helps :)

Answer:

the answer is 3 times the square root of 27

Step-by-step explanation:

7.9, 7.8, 7.7, 8.8, 9.2, 8.7, 7.3, 8.0, 7.9, 7.6

What is the Mean??

Answers

The mean is-8.9
The mode is-7.9
The range is 1.9
Median is- 7.9

Answer:

8.09

rounded to the nearest tenth ; 8.1

Step-by-step explanation:

Mean is adding all the data together than dividing by the number of data points

7.9 + 7.8 =

15.7 + 7.7 =

23.4 + 8.8 =

32.2 + 9.2 =

41.4 + 8.7 =

50.1 + 7.3 =

57.4 + 8.0 =

65.4 + 7.9 =

73.3 + 7.6 =

80.9

80.9 / 10 = 8.09

rounded to the nearest tenth = 8.1

Can someone help me please, its for plato algebra 2-1

Answers

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue

Answers

Answer:

Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}

= 6

Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}

=4

P( A is besides C)= 4/6

= 2/3

MARK ME AS BRAINLIST

HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP

Answers

Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

[tex]\dfrac{36 = 4 * W}{4}[/tex]

[tex]9 = W[/tex]

So, the length of side c is 9 mm.

Problem 2

[tex]\dfrac{21 = W * 21}{21}[/tex]

[tex]1 = W[/tex]

So, the length of side a is 1 m.

Problem 3

[tex]\dfrac{49 = 7 * W}{7}[/tex]

[tex]7=W[/tex]

So, the length of side t is 7 cm.

An equation is shown below: 3(2x − 7) = 9

Part A: How many solutions does this equation have?

Part B: What are the solutions to this equation? Show your work.

Answers

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.

A) Red = 1/4

B) Red = 0. 4

C) Orange = 1/4

D) Orange = 0. 4

E) Green = 0. 1%

F) Green = 10%

Answers

Red = 400/1000 = 0.4
Orange = 250/1000 = 1/4 [0.25]
Green = 100/1000 = 10%

How can you determine which part of the triangle is the base and which is the height?

Answers

The base of a triangle can be any side as long as the height is perpendicular to the base because the height and base will always be perpendicular

Determine Number of Solutions in System

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.

Answers

-x+y=8=>y=8+x2x-2y=-14=>x-y=-7=>-x+y=7=>y=7+x

As both left side is same

Slopes are equal

There is no solutions .

Answer:

no solutions

Step-by-step explanation:

Given equations:

Equation 1:  [tex]-x+y=8[/tex]Equation 2:  [tex]2x-2y=-14[/tex]

Rewrite the given equations to make y the subject:

Equation 1

[tex]-x+y=8[/tex]

[tex]\implies y=x+8[/tex]

Equation 2

[tex]2x-2y=-14[/tex]

[tex]\implies 2y=2x+14[/tex]

[tex]\implies y=x+7[/tex]

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

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

As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.

Help me with this assignment please I don’t understand it

Answers

The relationship is a function. A function is an equation of graph that has no repeated x values. In this graph, each x value has a different y value, whether it's (1, 70) or (9,95)

If Rachel gets anything other than a 95, the x value of 2 will have more than one y value: 95 and whatever grade Rachel gets. Therefore it will no longer be a function.

a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probability how many bouquets of red roses should the florist express to sell on a day with 120 customers?​

Answers

Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨

Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.

-2x+4y=28
-3x +2y = 6
Solve for x

Answers

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

multiply (x-3)(x-6) with steps please

Answers

Expanda el polinomio usando el método FOIL.
x
2

9
x
+
18
x
2
-
9
x
+
18

32. A student is in the process of solving an equation. The original equation and the first step are shown
below.

Answers

Answer:

Step-by-step explanation:

The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.

The student used additive commutative property for the first step.

What is an additive commutative property?

According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.

The student used a + b = b + a

3a + b = 2 + 7 - 5a = 2 - 5a + 7

Because add two numbers, exchange the position of the addend, and sum of them remain same.

This is a additive commutative property.

Hence, the student used additive commutative property for the first step.

Learn more about additive commutative property here

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A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?​

Answers

Answer:

50 - 4x = 154;

Step-by-step explanation:

50 - 4x = 154

154 - 50 = 104

104 / 4 = 26

x = 26

Riccardo Frierson deposits $1,200 in savings account. The account pays a 3.5% annual interest rate. He makes no other deposits or withdrawals. How much simple interest does his account earn in 6 months?​

Answers

Answer: 25

Step-by-step explanation:

if right I might mark brainiest. try to solve it if you dare x3+y3+z3=k

Answers

Answer:

3(x+z+y)=k

Step-by-step explanation:

would it happen to be 3xyz , (friends helped as well)

help pls

find x and y

Answers

Answer:

x = 8, y = 6/√3.

Step-by-step explanation:

The smaller triangle and the larger triangle are similar.

4 / 4√3 = (x - 6) / y

1/√3  =  (x - 6) / y

Also

y/6 = 1/√3

⇒ √3y = 6

y = 6/√3

Substitute for y in the first equation:

1/√3  =  (x - 6) / 6/√3

⇒ 1/√3 * 6/√3 = x - 6

⇒ x - 6 = 2

x = 8

X is 8 the answer is 8

Find the length indicated. Round answer to the nearest tenth.

Please and thank you so very much!!!!! See picture for the full problem.

Answers

Answer:

18.1

Step-by-step explanation:

All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.

Now we can use sa very simple theorem.... the pythagorean therom!

[tex]7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x[/tex](rounded)

I hope this helps you.

A volleyball player has a assists per game during a 6 game match. The volleyball player has 42 assists during the entire match. Which equation can be used to find a?

Please I really need it :(

Answers

Answer:

6a=42

Step-by-step explanation:

This equation would be used to find a because we don't know how many assists are for each match. And multiplying the a by the 6 games would be equivalent to 42 assists for the entire match.

f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??​

Answers

Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!

Answers

164+x=180
180-165=x
X=15

Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10

Answers

One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"

Eliminating variables from the system of equations?

System of equations consists of a different set of equations with unknown variables.

Given the system of equations

2x+3y=-5

2x-3y=10

Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"

(2x-2x)+(3y+3y) = -5 + 10
6y  = 5

Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"

Learn more on system of equations here: https://brainly.com/question/847634

PLEASE HELP
What is the product of (-a + 3)(a + 4)?
A. - a2 - a - 12
B. a2 - a + 12
C. - a2 - a + 12
D. a2 - a - 12

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

Answer:

Option C.

[tex]-a^{2}-a+12[/tex]

Step-by-step explanation:

1.  Distributive multiply

[tex]-a*(a+4)+3*(a+4)[/tex]

2.  Distributive multiply

[tex]-a*a-a*4+3*(a+4)[/tex]

3.  Multiply terms to exponential form

[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]

4.  Multiply constants

[tex]-a^{2}-4*a+3*(a+4)[/tex]

5.  Distributive multiply

[tex]-a^{2}-4a+(3*a+3*4)[/tex]

6.  Multiply constants

[tex]-a^{2}-4a+(3a+12)[/tex]

7.  Reorder terms

[tex]-a^{2} -4a+(12+3a)[/tex]

8.  Add terms

[tex]-a^{2}-a+12[/tex]

What is the domain of the function on the graph? 5 01 4. 3 O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 2 1 + 5 4 3 2 1 1 2 3 4 5 X -21 -3+ -4 J​

Answers

Option (4) all real numbers greater than or equal to -3

Step-by-step explanation:

Domain: Domain of function is defined by the x-values (Input values) on the graph.

Range: Range of a function is defined by the y-values (output values) on the graph.

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.

The domain of the function are all real numbers greater than or equal to -3.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a graph, we need to find domain of the function on the graph,

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Hence, the domain of the function are all real numbers greater than or equal to -3.

Learn more about function, click;

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