A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge

Answers

Answer 1

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet


Related Questions

Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0

Answers

X = 1/2, -5/6

Mark Brainliest Please!



B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature

dropped 7°F, what is the temperature now? ​( 1 mrks)


Answers

It would be -7f degrees because -14-7 would equal -7

Answer:

-21

Step-by-step explanation go up in negitive #s  just stay in negitive  

-14,-15,-16,-17,-18,-19,-20,-21!

8
Three friends, Cleopatra, Dalila and Ebony go shopping.
The money they each have is in the ratio
Cleopatra : Dalila : Ebony = 5:7:8.
Cleopatra has $17.
(a) How many dollars do they have in total?
(b) Dalila spends $12 on a hat.
How many dollars does she have left?
(CIE Paper 1, Nov 2005)​

Answers

Solution (a) :

Total number of parts = 5 + 7 + 8 = 20

Let the sum of the money with them be = x

Cleopatra has =

= 5/20 of x = $17

= 5/20x = 17

= 1/4x = 17

= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )

= x = 68

Therefore , they have $68 in total .

Solution (b) :

Total number of parts = 5 + 7 + 8 = 20

Parts with Dalila = 7/20

Money with Dalila =

= 7/20 of 68

= 7/20 × 68/1

= 476/20

= 23.8

Dalila has $23.8 with her .

Money she spends on a hat = $12

Money left with her =

= 23.8 - 12

= 11.8

Therefore , Dalila has $11.8 left with her , after she buys a hat .

Solution to the problems in the comment box :-

Solution (1) :

Ratio of cement to sand to aggregate to water = 2:5:8:1

Total parts = 2 + 5 + 8 + 1 = 16 parts

Number of parts for aggregate = 8/16

Then the aggregate needed by Bobbie =

= 8/16 × 1.2

= 1/2 × 1.2

= 1.2 as a fraction will be 6/5

= 1/2 × 6/5

= 6/10

6/10 as a decimal = 0.6

Therefore , Bobbie needs 0.6 cube of meter .

Solution (a) :

Cement : sand : aggregate : water = 2:5:8:1

Total parts = 16

Number of parts for cement = 5/16

Let the quantity of concrete be = x

Then ,

Cement =

= 5/16 of x

= 5/16x = 0.25 meter cube

= x = 0.25 × 16/5

= x = 25/100 × 16/5

= x = 1/4 × 16/5

= x = 16/20

= x = 4/5

4/5 as decimal = 80/100 = 0.08

Cement needed by Eddie = 0.08 cubic meter .

Quantity of water Eddie will need =

= 1/16 × 0.08

= 1/16 × 80/100

= 1/16 × 8/10

= 8/60

= 0.13

Water needed by Eddie = 0.13 cubic meter .

Quantity of aggregate needed by Eddie =

= 8/16 × 80/100

= 1/2 × 8/10

= 8/20

= 40/100

= 0.04

Aggregate needed by Eddie = 0.04 cubic meter .

Quantity of sand Eddie will need =

= 5/16 × 80/100

= 5/16 × 8/10

= 40/160

= 0.25

Quantity of sand needed by Eddie = 0.25 cubic meter .

Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .

Solution (b) :

When water and aggregate has been added the quantity of concrete =

= 0.13 + 0.04

= 0.07

Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .

Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Hannah 1 hour and 35 minutes to finish her homework. When Hannah finished her homework, it was 4:40 P.M. What time did Hannah get home from school?

Answers

She got home from school at 2:45 pm

i need help with this​

Answers

Answer:

x1=-1/97/12xx2=1 1=/97/12

Step-by-step explanation:

       2

X=6x^2+4=0

-6x2^-x+4=0

What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10

Answers

Answer:

7

Step-by-step explanation:

Given expression:

        4x + 2y  = 36

  coordinates  = (a,4)

Solution:

  From the given coordinates;

       x = a

       y = 4

       4x + 2y  = 36

 Substitute for the values and find "a"

    4a + 2(4)  = 36

     4a + 8  = 36

     4a  = 36 - 8

     4a  = 28

      a  = 7

The solution is 7

If Karis can run 1 mile in 10 minutes, how many
miles could he run in 1 hour at this same rate?

Answers

Answer:

6 miles per hour or 6 miles

Step-by-step explanation:

If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?

1 mile = 10 minutes

there are 60 minutes in 1 hour

10 minutes × 60 minutes = 6

6 × 1 mile = 6 miles so the answer is 6 mile per hour

Write the given equation in STANDARD FORM (slope standard form)

y = 2x + 3/7

Answers

Answer:

7y=14x+3 is your answer

Which diagram shows a pair of angle measures that prove lines a and b are parallel ?

Answers

Answer:

B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.

Option B is right.

What are corresponding angles?

Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.

Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.

This equal to the given corresponding angle , which is also 120°.

We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.

Hence, Option B is correct.

Learn more about corresponding angle here: https://brainly.com/question/1597341

#Tag #SPJ2

8-d≥-3d+4 solve the inequality

Answers

Answer:

[tex]d \geqslant - 2[/tex]

Step-by-step explanation:

[tex]8 - d \geqslant - 3d + 4 \\ 2d \geqslant - 4 \\ d \geqslant - 2[/tex]

Please helppppo thanksss!!!

Answers

Answer:

Your answer is (4,-3)

Step-by-step explanation:

help me please, it’s urgent. i know how to solve this but how does the equation go?

Answers

Answer:

Equation:

10x-5= 4x+25

And x=5

Plz help do questions 9 and 10 I will give brainlest

Answers

Answer:

9. B.) c=28h

10. C.) 5x=45y

Step-by-step explanation:

1. 84 cards in three hours 84/3 = 28 cards per hour

2. 2x=18y which means x=9y, x 5 = 5x = 45y

SOMEONE PLEASE HELP ME I NEED IT

Answers

Answer: m=-5/11

Step-by-step explanation:

To find the slope of two points use the formula m=y2-y1/x2-x1

Answer:

-5/11

Step-by-step explanation:

(21,-4) & (10, 1)

x1, y1 x2,y2

Slope = (y2 - y1)/(x2 - x1)

= (1 - (-4))/(10 - 21)

= -5/11

Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37 inches. What are the lengths of the sides of triangle XYZ that would make triangle ABC congruent to triangle XYZ?

Answers

Answer: xy=11 in.; yz= 13 in.; xz=13in.

Step-by-step explanation:

i’m pretty sure that’s it

A store pays $98 for a winter coat and marks the price up 10%.What is the price?

Answers

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

Solve the equation.

24 – 3x = 2x – 1

A. x = 4
B. x = 5
C. x = 6
D. x = 25

Answers

the answer is D. x= 25


I don’t understand please help

Answers

Answer:

yes it is i think don't sew meh if im wrong

Step-by-step explanation:

Find the perimeter of the figure. Write your answer in simplest form.

Answers

Answer:

Where is the figure ????

Step-by-step explanation:

Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2

Answers

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

ok, this is the last question I need help with(I think) please answer. I give Brainliest for best answer

Answers

Answer:

D) 132.67 (this seems to be the closest to the answer, I hope it helps)

Step-by-step explanation:

First, have the area of circle formula: A = π r²

Then, you need to find the radius to be able to complete the area formula. So, since you have the circumference, you will need to use it to find the radius:

C = 2 π r

40.82 = 2 π r

20.41 = π r

r = 6.496704777 . . . Do not round! Rounding will not give an exact answer!

Now that you have the radius, plug in:

A = π r²

   = π (6.49 . . .)²

   = π  (42.20717296 . . .) Do not round! Rounding will not be exact!

   = 132.5977445 . . .

   ≈ 132.6

Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.

Answers

Answer:

8 wristbands

Step-by-step explanation:

Let us assume that both of the company were ordered to deliver w wristbands.

The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:

2w

The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:

1.25w + 6

If both companies charge the same amount, hence:

2w = 1.25w + 6

2w - 1.25w = 6

0.75w = 6

w = 6/0.75

w = 8

The two companies charge the same amount for 8 wristbands

Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer

Answers

Answer: $22.00

Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.

plz mark brainliest:)

During tax-free weekend, you bought some spiral notebooks for $1.00 each and one set of colored pencils for $2. If you spent $5, how many spiral notebooks did you buy?

Answers

Answer:

3

Step-by-step explanation:

Answer:

You bought 3 spiral notebooks.

Step-by-step explanation:

This can be represented as 1x + 2 = 5. To solve this, first subtract 2 from both sides. You are left with 1x = 3. Divide by 1 to both sides, and your answer is x = 3.

Hope this helped.

Sam is looking at cell phone plans.A local company offers a monthly plan for 58.95dollars . The company is having a sale and offering a discount of 4.75 off the monthly plan. Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost

Answers

Given :

A local company offers a monthly plan for 58.95 dollars.

The company is having a sale and offering a discount of 4.75 off the monthly plan.

To Find :

Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost.

Solution :

Correct cost = Original price - Discount offered

Correct cost = $( 58.95 - 4.75 )

Correct cost = $54.2 .

Now, Sam's cost is $11.45 because he took $4.75 as $47.5 .

Hence, this is the required solution.

McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.

Answers

Answer:

(8x/2)-6=5

Step-by-step explanation:

How many $4.30 packets of sugar can be bought for $24.00?

Answers

Answer:

About 5 and a half

Step-by-step explanation:

The answer would be because 4 times 5 is 20 and 5 times .30 would be 21.50

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

Reflection across the x-axis

Step-by-step explanation:

please open the link to see math problem

Answers

Question 1 - 10 miles (4 x 2.5 = 10)
Question 2 - 60 miles(15 x 4 = 60)

Solve a = d+c/b for d

Answers

Answer: d = a - c/b

Plz  mark brainliest:)

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