Find the distance across the lake. Assume the triangles are similar.

Find The Distance Across The Lake. Assume The Triangles Are Similar.

Answers

Answer 1

Answer:

202.5

Step-by-step explanation:

[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]

9 x 45 = 405 → 2L=405

L=[tex]\frac{405}{2}[/tex] → L = 202.5


Related Questions

A DVD player was marked down by 30 percent from its original price of $75. Including a 7 percent sales tax, what is the final cost of the DVD player?

Answers

The total tax is $1.26

Answer: its going to be 3 dollars and 67 cents

Step-by-step explanation:

make x the subject of the formula

show your working.

Answers

Answer:

[tex]x = \frac{3y-4}{y-1}[/tex]

Step-by-step explanation:

y(x-3) = (x-4)

yx -3y = (x-4)

yx - x = 3y -4

x(y-1)= 3y -4

[tex]x = \frac{3y-4}{y-1}[/tex]

plese help asap!!! .................

Answers

Answer:

what do you need to find? Area? perimeter?

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the estimated value of each expression with its position on the number line. + A B C D E ++ + 1 2 3 4 5 6 7 -2 -1 0 A B С D E V90-V40 V35 - 42 V5 – V6 2127-148 V54 - V24 18 – V8​

Answers

Answer:

1. D

2.C

3. E

4.A

Step-by-step explanation:

the guy above or below me is incorrect.

which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27

Answers

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

Which of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10

Answers

Answer: B

Step-by-step explanation:

Its written in slope intercept form not standard

pls pls pls help meeeeee

Answers

Answer:

i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3

Step-by-step explanation:

Somebody that knows the answer please help ASAP!!!!!

Answers

Answer:

Below!

Step-by-step explanation:

To find the volume of a cylinder, you can use this formula : v = πr^2h

r = 12km , h = 7 km

v = π(12km)^2(7)

  = 3166.72539

Round to the nearest 10th

  = 3166.7 km^3

Hope this helps! Best of luck <3

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4

Answers

Answer:

b or d

Step-by-step explanation:

igxgkztjsy,hfzfjzitzgmzfjztzutzjvahfzgkzjrJt

Answer:

A

Step-by-step explanation:

A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.

Which angle number represents an angle adjacent to /EHD?

Answers

Angle 5. To read the angle EHD you start at point E, then go to H, then to D. So that angle is marked 6. And 5 is adjacent (next to) 6.

In the diagram, ∠5 is adjacent to ∠EHD.

Angle

Angles are formed when two rays intersect at a point. An angle is also formed when to lines intersect each other, thereby the two lines share a common endpoint.

Adjacent angles are two angles that have a common side and a common vertex (corner point). They are placed side by side to each other.

In the diagram, ∠5 is adjacent to ∠EHD.

Find out more on Angle at: https://brainly.com/question/25770607

The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.

Answers

Answer:

85 i guess

Step-by-step explanation:

The mean of the distribution is 70 and the standard deviation of the distribution is 4.

The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.

The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.

In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.

Here is a step-by-step explanation of how to find the mean and the standard deviation:

Identify the shaded area in the distribution.

Remember that the shaded area represents 95% of the data.

Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.

Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.

Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.

To learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ2

Can someone please help me I don’t know how to do this (Due today)

Answers

First go to the y intercept (or the b in y=mx+b) look for the slope and plot the points on the graph they're talking about e.g. #23 the y-intercept is 6 go to the 6 on the y axis, and then look at the slope (x), so it goes up and over to the right since it's positive by 1

Diagnostic
Analytics

When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit

Answers

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

what is the additive inverse of -61

Answers

Answer:

The additive inverse of -61 is 61. For additive inverse just reverse the sign.

Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?

Answers

Answer:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

Step-by-step explanation:

Given

[tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Required

The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary

Supplementary angles add up to 180.

So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

necesito ayuda con esto

Answers

Answer:

nacho taco Guadalupe Juan ching chong

Step-by-step explanation:

Noob

Evaluate f(x) when x = 3.

Answers

Answer:

56

Step-by-step explanation:

Since 3 is between -6 and 9 we use the first definition

f(3) = 6 x^2 +2

     = 6(3)^2+2

    = 6(9) +2

   = 54+2

    = 56

Two terms of a geometric sequence are given. Find the first five terms. Please help asap

Answers

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ [tex]r^{6}[/tex] = 256 → (1)

a₁ [tex]r^{9}[/tex] = 2048 → (2)

Divide (2) by (1)

[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]

r³ = 8 ( take the cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

Substitute r = 2 into (1)

a₁ × [tex]2^{6}[/tex] = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64

I NEED HELP WITH THIS!! 50 POINTS!!!

Drag each system of equations to the correct location on the table.
Classify each system of equations as having a single solution, no solution, or infinite solutions.

Answers

Answer:

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10

y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form.  

x = 26 - 3y becomes

3y = -x + 26

y = -1/3x + 26/3  

2x + 6y = 22 becomes

6y = -2x + 22

y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions.  

Now the third one. We do the same steps.  

5x + 4y = 6 becomes

4y = -5x + 6

y = -5/4x + 1.5

 

10x - 2y = 7 becomes

2y = 10x - 7

y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again.  

x + 2y = 3 becomes

2y = -x + 3

y = -0.5x + 1.5

4x + 8y = 15 becomes

8y = -4x + 15

y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions.  

Now the fifth one.  

3x + 4y = 17 becomes

4y = -3x + 17

y = -3/4x + 17/4

-6x = 10y - 39 becomes

10y = -6x + 39

y = -3/5x + 3.9

Since these equations are completely different, there is a single solution.  

Last one!

x + 5y = 24 becomes

5y = -x + 24

y = -1/5x + 24/5

5x = 12 - y becomes

y = -5x +12

Since these equations are completely different, this system has a single solution.

Step-by-step explanation:

hope this helps you out:)

What is the solution set to this equation?
log_4(x + 3) + log_4x = 1

Answers

Answer:

x=1

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

We know that loga(b) + loga(c) = loga(bc)

log_4(x + 3)x = 1

Raise each side to the base of 4

4^log_4(x + 3)x = 4^1

(x+3)x = 4

x^2 +3x = 4

Subtract 4 from each side

x^2 +3x -4 = 0

Factor

(x+4) (x-1) =0

Using the zero product property

x= -4  x=1

But x cannot be negative since logs cannot be negative

x=1

Answer:

A..  x = 1.

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

log_4 x(x + 3) = log_4 4

Removing the logs:

x(x + 3) = 4

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x = 1, -4.

We can ignore the -4 as there is no log of a negative.

A car left Sydney at 9 am and arrived in
Melbourne at 6 pm. The distance travelled
was 711 km. Find the car's average speed.
km/h

Answers

Answer:

average speed = distance/ time

711/9

79km/h

If 4 tickets to a show cost $17.60, what is the cost of 7 such tickets.

Answers

Answer:

30.80

Step-by-step explanation:

We can use a ratio to solve

4 tickets              7 tickets

-------------------  = ----------------

17.60 dollars           x dollars

Using cross products

4x = 17.60 * 7

4x =123.2

Divide each side by 4

4x/4 = 123.2/4

x=30.8

Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1

Answers

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

Let's get rid of the parenthesis

Multiply whatever is in the parenthesis by -1 since there is a minus sign before it

5x - 4x + 1 = 2

Move common terms to one side, so subtract 1 from both sides

5x - 4x + 1 = 2

           -  1  - 1

5x - 4x = 1

Subtract the 5x by 4x

x = 1

Answer:

x = 1

Step-by-step explanation:

5x - (4x - 1) = 2

5x - 4x + 1 = 2  {Distribute property  (-1) is distributed with 4x  and (-1)}

Combine like terms

x + 1 = 2

Subtract 1 from both sides

x = 2 - 1

x = 1

Find the Quotient. Do NOT round

22.14 divided by 1.2

Answers

Answer:

18.45

Step-by-step explanation:

I used a calculator

Combine these radicals.






Anyone pls I need

Answers

Answer:

-26 sqrt(3)

Step-by-step explanation:

-12 sqrt(12) - 2 sqrt(3)

Rewriting

-12 sqrt(4*3) - 2 sqrt(3)

We know sqrt(ab) = sqrt(a)sqrt(b)

-12 sqrt(4)sqrt(3) - 2 sqrt(3)

-12 (2) sqrt(3) - 2 sqrt(3)

-24 sqrt(3) - 2 sqrt(3)

-26 sqrt(3)

PLEASE HELP

Which number best represents the slope of the graphed line?

Answers

Answer:

1/2

Step-by-step explanation:

pick a point on the graph where it hits the x and y line. Go up one unit and two units to the right. you hit another "point". you need to remember the formula rise over run (RISE/RUN). you rose 1 unit and ran 2 units. hence, the answer is 1/2

1/2 should be the answer

A package of 4 red,white and blue hats costs $8. What is the unit rate

Answers

Answer:

$2/ hat

Step-by-step explanation:

Find the unit rate:

$ to hats

8 to 4

Divide by four to get the unit rate; over 1

2 to 1

So, $2 per hat

Hope this helps!

The answer is 2/ hat Bc I got it right

Economy Hardware Store ordered items retailing for $2,500. They received a chain discount of 20/5/2. Find the net cost.

Answers

The net cost after discounts will be $ 2,450.

Given that Economy Hardware Store ordered items retailing for $ 2,500, and they received a chain discount of 5/20/2, the following calculation must be performed to find the net cost, knowing that the net cost is equal to the initial cost minus the discounts made about it:

First, the discount percentage must be calculated.

5/20/2 = X

4/2 = X

2 = X

Then, this percentage must be subtracted from the initial value.

2500 x (1-0.02) = X

2500 x 0.98 = X

2450 = X

Therefore, the net cost after discounts will be $ 2,450.

Learn more in https://brainly.com/question/17003148.

What is the value of x?

Enter your answer in the box.
X =

Answers

Answer:

x = 55°

Step-by-step explanation:

The sum of the angles in a triangle is 180°.

x + 75 + 50 = 180

x + 125 = 180

x = 55

Therefore, x = 55°.

Answer:

x = 55

Step-by-step explanation:

the angles of a triangle add up to 180 degrees. So far we have 125 taken up.

We do 180 - 125 = 55.

x = 55

Answers plssssssssssssssssss

Answers

Answer:

3/2

Step-by-step explanation:

if u divide two fractions, it is same as multiplying with its reciprocal

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