John is parasailing 350 ft away from the boat that pulls him. suppose he is lifted 400 feet into the air. Find the length of the rope used to attach him to the boat. Round to the nearest tenth of a foot.

Answers

Answer 1
John
| \
| \
|. \
|. \
(a)400ft
|. \
|. \
|. \(c) length of rope
|. \
|. \
|____________________Boat
350 ft (b)

Pythagorean theorem
a-squared + b-squared = c-squared
400-squared + 350-squared = c-squared
160,000 + 122,500 = c- squared
282,500 = c-squared
Now take the square root of each side of the equation
531.5 = c
The length of the rope is 531.5 feet

Related Questions

pls help! whats the area of the sector!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a}{\pi r^2}=\frac{\theta }{360^o}\\ \\ a=\frac{\pi r^2 \theta }{360^o}\\ \\ r=36^o,\ \theta =80^o\\ \\ a=288\pi cm^2[/tex]

There is a 52% chance that a player will win a certain carnival game. Which statement describes the likelihood that a player will win the game?
A The player will definitely win the game.
B It is likely that the player will win the game.
C It is unlikely that the player will win the game.
D It is neither likely nor unlikely that the player will win the game.

Answers

B) 52% nudges the odds more in favour than it being equal, although not high enough percentage to guarantee a definite win

1) If CB= 13; BF= 9; EF=7; Then DE=?
Round to the Hundredths.
(Hint: (whole secant)(external part) = (whole secant)(external part)
FIND DE=?
SHOW ALL WORK!!
HURRY I NEED IT FAST!!
WILL MARK BRAINLIEST!!

Answers

Answer:

if CB is 13 and BF is 9 than 13+9=22.So DF must be 22 too. If EF is 7 than 22-7=15 and DE is 15

Answer:

4

Step-by-step explanation:

Can Anybody Help Geometry Work Will Give Brainliest!

Answers

I believe y is 45 bc if you look at the whole angle not split up is 90 and 90*1/2 is 45
the answer is 45 or 55

Need help ASAP really lost

Answers

63 degrees, if that angle is 72 that means the other must be 54 (add to 180), and if that angle on the other triangle is 54, the others must be 63 (add to 180).

Answer:63

Step-by-step explanation:

Find the missing side lengths. Leave your answers in simplest radical form.
Х
у
60°
30

Answers

ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications



HELLLLPP MEEEE FIND THE AREA

Answers

Answer:

12 square feet

Step-by-step explanation:

2*6=12

2.4 Square feet i think

Write an equation of the line from the table

Answers

Answer:

y=x+6

Step-by-step explanation:

x to y is always add 6.

This is why the equation is y=x+6

Hope this helps :)

CAN SOMEONE HELP ME!! DUE IN 5 MINS!! 10 POINTS!!

Answers

Answer:

X= 29.5, Y=5

Step-by-step explanation:

If im reading the question correctly it tells you Y is 5, and that X is multiplied by two so half of 59 since we already know that Y is 5 is 29.5

The answer is 29.5 hope this helps! ;)

Find the value of x please

Answers

The answer to that problem is 54

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

can someone please help me asap

Answers

Answer:

[tex] \sin(52) = 0.9866[/tex]

The options are
36
54
72
108
SOMEONE PLSSS HELPP ME

Answers

Answer:

Step-by-step explanation:

Each internal angle in a regular pentagon = 180(n - 2) / 5 where n = 5

so < BAE =  540/5 = 108 degrees.

Triangle BAE is isosceles  so

m < ABE =( 180 - 108 )/ 2

= 36 degrees.

If we measured the heights of different plants and got 50”, 55”, 48”, 50” and 52”. What
would be the average height?
a) 50” b) 51” c) 48” d) 255”

Answers

Answer:

B

Step-by-step explanation:

50+55+48+50+52=255

255/5=51

Anwser 51

Two semicircles are attached to the sides of a rectangle as shown.


(WILL GIVE BRAINLY IF RIGHT)
What is the approximate area of this figure?

Use 3.14 for pi.

Enter your answer in the box. Round only your final answer to the nearest whole number.

Answers

Answer:

157 in²

Step-by-step explanation:

The area of the shape is the sum of three sections

1. Rectangle

A = 5*14 = 70 in²

2. Bigger semicircle

A = 1/2π(14/2)² = 76.96 ≈ 77 in² (rounded)

3. Smaller semicircle

A = 1/2π(5/2)² = 9.8174 ≈ 10 in² (rounded)

Total area:

70 + 77 + 10 = 157 in²

answer:

157 inches²

step-by-step explanation:

we have to break this down into parts and find the area of each part and then add them up so we have the area for the whole thing

rectangle:

5 X 14 = 70 inches²

big semicircle:

solve this like a simple circle and then divide by 2 since this is half

area = πr²

insert what we know from the question

area = (3.14)(7)²

the radius would be seven because as you can see the length of a side of the rectangle is 14 and this is also the diameter of the circle since they are attached and share itthe radius is half of the diameter so we get 7

area = 3.14(49)

        = 153.86 inches²

now divide this by 2 since it is semicircle

153.86 / 2 = 76.93 inches²

small semicircle:

area = (3.14)(2.5)²

i followed the same method as last, except the numbers are different

area = 3.14(6.25)

        = 19.625 inches²

now divide by 2

19.625 / 2 = 9.8125 inches²

finally, add up all the separate areas you got

70 inches² + 76.93 inches² + 9.8125 inches²

= 156.7425 inches²

= 157 inches²

A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?

Answers

Answer:

1600 cubic feet

Step-by-step explanation:

8 x 2 1/2 = 8 x 2.5 = 20

20 divided by 1/2 = 10

8 x 10 x 20 = 1600

Select all the equations where x = 3 is a solution.

Answers

Answer: A and C

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{x = 3}[/tex]

[tex]\large\textsf{Option A.}\downarrow\\\\\mathsf{x + 4 = 7}\\\mathsf{x = 3}\\\mathsf{3+4=7}\\\mathsf{3+4 =\bf 7}\\\mathsf{7 = 7}\\\\\\\large\text{Option A. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option B. }\downarrow\\\\\mathsf{\dfrac{x}{9}=3}\\\\\mathsf{x = 3}\\\\\mathsf{\dfrac{3}{9}=3}\\\\\mathsf{\dfrac{3}{9}= \dfrac{1}{3}=\bf 0.333333}\\\\\mathsf{0.333333\neq 3}\\\\\large\text{Option B. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option C. }\downarrow\\\mathsf{5-x =2}\\\mathsf{x = 3}\\\mathsf{5-3=2}\\\mathsf{5-3=\bf 2}\\\mathsf{2=2}\\\\\large\text{Option C. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option D. }\downarrow\\\\\mathsf{8x = 32}\\\mathsf{x =3}\\\mathsf{8(3)=\bf 24}\\\mathsf{24\neq 32}\\\\\large\text{Option D. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option E. }\downarrow\\\mathsf{x - 10=7}\\\mathsf{x =3}\\\mathsf{3-10=7}\\\mathsf{3-10=\bf -7}\\\mathsf{-7\neq7}\\\\\large\text{Option E. is NOT your possible answer}[/tex]

[tex]\boxed{\large\text{Answer: \boxed{\large\text{\bf Option A. x + 4 = 7 \& Option C. 5 - x = 2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which fraction is in reduced form?
4/21
42/54
18/27
2/10

Answers

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

An angle measures 3.2° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

       43.4° and 46.6°

Step-by-step explanation:

x   - measure of angle

x + 3.2°   - measure of its complementary angle

Complementary angles adds to 90°

x + x + 3.2° = 90°

2x = 90° - 3.2°

2x = 86.8°

 x = 86.8°÷2

 x = 43.4°

x+3.2° = 43.4° + 3.2° = 46.6°

For the function y = 4x – 1, what is the output when the input is 10?

Answers

Answer:

39

Step-by-step explanation:

so the input is x and the out put is y

using this we know that x=10

let plug that into the function

y=4(10)-1

y=40-1

y=39

since y is the output, the output is 39.

I need help and show work​

Answers

-4+(-3)
=-7

since it’s two negatives , you’re just adding them

I have to show a picture and dont know how

Answers

Answer:

there should be clip under the text box

Step-by-step explanation:

Harold cut 1812 inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form

Answers

Answer:

0.42

Step-by-step explanation:

The computation of the length of the remaining rope in inches is shown below:

Length Remaining = Length - the piece he cut off

Length Remaining = 60 - 18

60 - 18 = 42

To turn 42 into a decimal, you have to divide by 100 ↓

42 ÷ 100 = 0.42

The length of rope remaining is 0.42 inches long

The radius of a circle is increased by 3 in., which increases the area by 100 in. Find the radius of the original circle. Round to the nearest hundredth.

Answers

Answer:

3.81 inches

Step-by-step explanation:

πr² + 100 = π(r+3)²

divide by π and simplify:

r² + (100/π) = r² + 6r + 9

100/π = r² + 6r + 9

31.8309886184 - 9 = r² +6r

r² = 6r - 22.8309886184

0 = 6r - 22.8309886184

22.8309886184 = 6r

divide by 6:

3.80516476973 ≈ 3.81 inches

Which expressions are equivalent to the one below? Check all that apply. 49^x​

Answers

Answer:

A,D,F

Step-by-step explanation:

Answer:

7^x•7^x, (7•7)^x, 7^2x

Step-by-step explanation:

Just took it, the other one is wrong

CAN YOU SEE THIS AND IF SO IS IT THE RIGHT ANSWER? REWARD BRAINLIEST

Answers

Answer: A I think

Step-by-step explanation:

Answer: LOL its D

Step-by-step explanation:

Find the absolute value of -4 3/2 pls help
Worth 100 points..?

Answers

Answer:

4 2/3

Step-by-step explanation:

Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)

Answer: -11/2

Step-by-step explanation:

1 day= ____________ seconds
Please show the work!!

Answers

Answer:

86400 seconds

Step-by-step explanation:

The unit of measurement "day" (symbol d) is defined as 86,400 SI seconds.

Answer:

86,400

Step-by-step explanation:

Which one? It’s either simplify or no simplify

Answers

Answer:

simplify

Step-by-step explanation:

The measure of an angle is 77°. What is the measure of its complementary angle?

Answers

Answer:

13º

Step-by-step explanation:

Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.

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