A drawbridge will sometimes open up to let boats and other water traffic pass
through. As it opens, the surface of the drawbridge raises above the level of
the roadway, as modeled by the function:
h+2
If the length of the drawbridge, r, is 25 meters, and the point Pis 16 meters
above the roadway, what is the distance d?

ANSWER IS 19.2

A Drawbridge Will Sometimes Open Up To Let Boats And Other Water Traffic Passthrough. As It Opens, The

Answers

Answer 1

Answer:19.2

Step-by-step explanation:

Answer 2

The distance d is 19.2 meters.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The model forms a right angle triangle with the model given as

r = [tex]\sqrt{h^{2} -d^{2} }[/tex]

From the question we were asked to find d when r = 25 meters and the

h = 16 meters.

Make d the subject of the formula

r =  [tex]\sqrt{h^{2} -d^{2} }[/tex]

square both sides

r² = h² + d²

d² = r² - h²

where

r = 25 m

h = 16 m

d² = r² - h²

d² = 25² - 16²

d² = 625  - 256

d² = 369

square root both sides

d = [tex]\sqrt{369}[/tex]

d = 19.2 meters

Hence, the distance d is 19.2 meters.

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Related Questions

When you see multiplying rational number you first

Answers

Answer:

use pemdas

Step-by-step explanation:

Four students in mrs. smiths math class write value involving exponents. The table shows each student’s value. Which student has the greatest value?
A. Alison
B. Chris
C. Hannah
D. Steve

Answers

Allison has 2^6 which is 64. Chris has 3^3 which is 27. Hannah has 4^2 which is 16 and Steve has 18^1 which is 18. Allison would have the highest. If I have 3^2 for example that is 3x3 which would be 9. 3^3 would be 27. Because 3x3x3 is 27.

Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?

2x + 3 = 5x - 3

Answers

Answer:

2

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer:

2

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

56 pens are packaged in 7 boxes how many are packed in 9? help plss

Answers

Answer:

7 boxes=56 pens

1 box = 56/7

9 boxes = (56/7)×9

=72

heeeeelllllllllllllllllllllllllpp

Answers

Answer:

if your goal is to get the area of each triangle, the answers are:

14in

25in

48in

Here is the answer but am not so sure  

14in

25in

48in

An alloy consists of 13 parts of copper to 7 parts of zinc and 5 parts of Nickel what is the percentage composition of the alloy​

Answers

Answer:

52% Copper, 28% Zinc, 20% Nickel

Step-by-step explanation:

Copper is 13 out of 13+7+5 = 25

13/25 = 52%

Zinc is 7 out of 25 so 28%

Nickel is 5/25 = 20%

I need help with the vocab

Answers

6. Endpoints.
7. Absolute Value.
8. Horizontal.
9. Vertical.
10. Right Triangle.

[tex]Maria earns $603.75 for 35 hours of work. What is her rate of pay per hour?[/tex]

I legit forgot how to divide for some reason Can someone drop down the work for this question?

Answers

Answer:$17.25 is her rate per hour

Step-by-step explanation:

Do 603.75/35

Which $17.25

Answer:

Maria earned $17.25 per hour

Step-by-step explanation:

603.75 divided by 35 is 17.25

what’s the area?
yahshjsjsjshshjdjxndndn

Answers

Answer:

10 sq units

Step-by-step explanation:

The area of a triangle is 1/2bh

b= 5 units

h= 4 units

1/2(5)(4)= 10

Answer:

10 squared

5×4=20

20÷2=10

What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?

Answers

Answer:

What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4? -36. -4.

Step-by-step explanation:

hope this helps

I need help on this and the first person who answer this correctly gets BRANLIST

Answers

Answer:

-5/4

Step-by-step explanation:

Use the formula lol

Can someone explain why this is wrong or did my teacher just make a mistake

Answers

Answer:

probably a mistake, contact your teacher

Step-by-step explanation:

It would be 8, you’re correct. The only variation that could impact it is if you’re supposed to include that it could be -8. It would be +/- 8 if they needed an exact answer. Generally 8 is the standard answer to that though, so possibly a mistake there.

Jon leaves home at 6:00 a.m. and arrives at his brother’s house at 11:00 a.m. What is his average speed, in mph, if he had traveled 325 miles? Remember average speed is total distance divided by total time.

Answers

Answer: 4 m/h

Step-by-step explanation: Becaue times x distance and u solve it

James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.

Answers

Answer:

150+25x = 600

Step-by-step explanation:

Hope this helped!

simplify:
9mn × 5m²n
2acx × 3ax² × 4c

Answers

Answer:

di ko sure pero sana makatulong hehe

Step-by-step explanation:

What is the surface area of the cylinder?




226.08 cm²

678.24 cm²

1,356.48 cm²

452.16 cm²

Answers

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

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A rectangle lengths 12m and 17m and is dilated using the dilation (x, y) -> ( 0.4 x, 0.4y). What is the perimeter of the dilated rectangle?

Answers

Answer:

Perimeter of the dilated rectangle = 23.2 m

Step-by-step explanation:

If a point is dilated by a scale factor = k

Coordinates of the image point after dilation will follow the rule,

(x, y) → (kx, ky)

From the given rule,

(x, y) → (0.4x, 0.4y)

Which reveals that the figure has been dilated by a scale factor = 0.4

Length of the rectangle = 12 m

Width of the rectangle = 17 m

If the given rectangle is dilated by a scale factor of 0.4,

Length of the image rectangle = 12 × 0.4 = 4.8 m

Width of the image rectangle = 17 × 0.4 = 6.8 m

Perimeter of a rectangle = 2(length + width)

Therefore, perimeter of the image rectangle = 2(4.8 + 6.8)

                                                                           = 23.2 m

HELP!!!!! ASAP!!!!!!

Answers

i’m sure it’s the last one D

Use the diagram to find the measure of angle c !!! Will give b if correct:)

Answers

Answer:

C=107°

Step-by-step explanation:

3x-4+6x-7+x+1=180

10x-10=180

10x=190

x=19

C=6x-7

C=6(19)-7

C=114-7

C=107

Serena's average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?

Answers

Answer: She ran a total distance of 16 kilometers

Step-by-step explanation:

Average speed  by Serana is given as =  Distance  /Time

But Average speed  = 8 kilometers per hour

Time = 2hours

Distance = Average speed x Time

=8 km/h x 2hours

= 16 kilometers

Can someone help with this question please?

Answers

I that the answer is A

PLzz help meeeeeeeee

Answers

i think it’s the -18

Please help this is due in an hour lol

Answers

Answer:

w

Step-by-step explanation:

Answer: I can see the page it say file is deleted

:(

which list shows these numbers In order from least to greatest?​

Answers

Answer:

The answer is C

Step-by-step explanation:

i did the lesson

What is cos B for the triangle shown?
17
15
B
8
a.
8
17
b. 15
17
8
15
d. 17
8

Answers

wait what theres no triangle shown

HELP ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

#3 2 Right, 4 Down & #4 Vertical Compression

Find the error & explain why it is wrong:

Laural had to find the average rate of change of f(x) over the interval from x = 6 to x = 10 using the table below.

What did she do wrong?

Answers

Step b is wrong. The slope is the change in y over the change in x.

Step b should be (18- 8)/( 10-6)

= 10/4

= 5/2

A jewelry store purchases
earrings from a
manufacturer for $5 each. If
the store wants to mark up
the price by 75%, what will
a customer pay for a pair of
earrings?

Answers

Answer:

$8.75

Step-by-step explanation:

Double and half angle identities?

Answers

Answer:

Option 4

Step-by-step explanation:

Given:

Sinθ = [tex]\frac{15}{17}[/tex]

Since, cos2θ = 1 - 2sin²θ

cos2θ = [tex]1-2(\frac{15}{17})^2[/tex]

cos2θ = 1 - [tex]\frac{450}{289}[/tex]

cos2θ = [tex]\frac{289-450}{289}[/tex]

cos2θ = [tex]-\frac{161}{289}[/tex]

Therefore, Option 4 will be the answer.

Mhanifa please help me on this it’s really difficult. I will mark brainliest! Point P is the centroid of triangle ABC. Use the given information to find the indicated measures.

Answers

Answer:

The centroid of a triangle is the intersection of the three medians of the triangle. The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

As per above mentioned property, we have:

Question1

AL = 27 - given AP = 2/3 AL = 2/3(27) = 18 PL = 1/3 AL = 1/3(27) = 9

Question 2

BP = 102  - given BP = 2/3 BL ⇒ BL = 3/2(CP) = 3/2(102) = 153 PL = 1/3 BL = 1/3(153) = 51
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