The sail and mast of a sailboat form a right triangle.What is the height of the mast on the sailboat? height 20m width 12m

Answers

Answer 1

Answer: 16 m

Step-by-step explanation:

Using the Pythagorean theorem you can find the height of the mast.

The formula is;

a² + b² = c²

a is one side of the triangle such as the width

b is another side such as the height

c is the hypotenuse which is the longest side.

c will therefore be 20m.

a will be 12m

12² + b² = 20²

b² = 400 - 144

b² = 256

b = √256

b = 16m


Related Questions

A jar contains 3 red marbles, 2 blue marbles, and 5 yellow marbles. What is the
probability of pulling a blue marble, replacing it, then pulling a blue marble again?

Answers

Answer:

1/10

Step-by-step explanation:

Marty's class collected $11.40 in a school-wide penny collection contest. If Tommy's class subtracted $4.70 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.

Answers

Answer:

braiiiiiiiiinlllllllyyyyyyyyest

Step-by-step explanation:

You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy. The bread costs $1 per loaf, the meat costs $4 per pound, and the cheese costs $3 per pound. You know that you are to buy eight items, that the total cost will be $17, and that you are supposed to purchase three times as much cheese as meat. How many of each do you need to purchase?

Answers

Answer:

4 bread loafs, 1 pound of meat, 3 pounds of cheese

Step-by-step explanation:

Let loaf of bread be b, meat be m and cheese be c

Based on the given, we have following equations:

b + m + c = 8c = 3mb + 4m + 3c = 17

Subtract the first equation from the third and substitute c with m:

b + 4m + 3c - (b + m + c) = 17 - 83m + 2c = 93m + 2(3m) = 99m = 9m = 1

Then

c = 3*1 = 3b = 8 - (1 + 3) = 4

If ABC=DEC, C=55, D=65, and B=2x. x=?

Answers

Answer:

X = 30

Step-by-step explanation:

B = E

DEC = 180 degrees/ 65 + E + 55 = 180

E = 60

B = 2x

2x = 60

x = 30

The value of x in the given figure is 32.5.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

∠C = 55

∠D = 65

∠B = 2x

∠D and ∠B are alternate angles.

Alternate angles are equal.

65 = 2x

x = 65/2

x = 32.5

Thus,

The value of x is 32.5

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

please help this is due in an hour

Answers

Answer:

Not proportional

Step-by-step explanation:

22/20 does not equal 18/15.

Answer:

B: Not proportional

Step-by-step explanation:

This wouldn't be proportional because for you, you are making 22 heartbeats in 20 seconds and 22-20 is 2. But if you look at your friend, he/she is doing 18 heartbeats in 15 seconds so add 5 so that 23 heartbeats is happening in 20 seconds and 23-20 is 3. If we compare, 3 is not the same as 2 making it not proportional.

Lindsey invests $1500 in one account and $900 in an account paying 4 % higher interest. At the end of one year she had earned $204 in interest. At what rates did she invest?

Answers

Answer: She invest 41500 at 7% interest and 900 at 11% interest.

Step-by-step explanation:

Formula for simple interest = [tex]\dfrac{\text{Principal x rate x Time}}{100}[/tex]

Let [tex]P_1=\$1500,\ P_2=\$900\ \ \ \ , r_1=r, \ \ r_2=r+4,\ \ \ t_1=t_2=1[/tex]

Simple interest by first investment = [tex]\dfrac{P_1r_1t_1}{100}=\dfrac{1500(r)(1)}{100}=15r[/tex]

Simple interest by second investment = [tex]\dfrac{P_2r_2t_2}{100}=\dfrac{900(r+4)(1)}{100}=9(r+4)[/tex]

As per given,

Total interest = $204

[tex]\Rightarrow 15r+9(r+4)=204\\\\\Rightarrow\ 15r+9r+36=204\\\\\Rightarrow\ 24r=204-36\\\\\Rightarrow\ 24r=168\\\\\Rightarrow\ r=\dfrac{168}{24}\\\\\Rightarrow\ r=7\%[/tex]

Hence, she invest 41500 at 7% interest and 900 at 11% interest.

///////////////////;;;;;;;;hfdtty

Answers

100 in^2 bc you have to do l x w x h

yttdfh;;;;;;;;////////////////

That's what you said but backwards :P

Pleasee help me :)))

Answers

Answer:

Ok Ill help you :)

Step-by-step explanation:

a)  -125

b)  +27

c)  -9

d)  +9/8

I hope this helps!!! ❤️

Help me please... the picture is down below:)

Answers

Answer:

x=35

Step-by-step explanation:

x+110+35=180

x+145=180

x=180-145

x=35

find rhe area of a regular hexagon with17.3 miles long and a long 20 side

Answers

answer:

A≈1039.23

Solution

A=33

2a2=3·3

2·202≈1039.23048

what's the range???​

Answers

Answer:

Step-by-step explanation:

range is the y values where the graph goes through

since there are closed circles, we’ll use brackets

range is [-9, -4]

**the smaller value goes first, then the bigger value

I got x = 45
And I was wondering if anyone one could tell me if im correct

Answers

Answer:

x = 45°

Step-by-step explanation:

Congruence of Angles:

Linear angles are those consecutive angles formed when two lines cross. Their sum of linear angles is 180°.

Corresponding angles are those which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent.

From the provided figure, angles y and 3x-60 are linear, thus:

y + 3x - 60 = 180

y = 180 - 3x + 60

y = 240 - 3x

Also, being p and q parallel lines, angles y and 2x+15 are corresponding, thus:

240 - 3x = 2x + 15

Adding 3x:

240 = 2x + 3x + 15 = 5x + 15

Subtracting 15:

240 - 15 =5x = 225

Dividing by 5:

x = 225 / 5 = 45

x = 45°

Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .

Answers

Answer:

$850.70

Step-by-step explanation:

Subtract all her check amounts and add the deposit. You come up with $850.70

O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro, porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher ao acaso um morador do bairro que não tomou a vacina?

Answers

Questão completa:

O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro,

porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher

ao acaso um morador do bairro que não tomou vacina?

(eles so conseguiram vascinar 1000 pessoas )

Responda:

1/3

Explicação passo a passo:

Dado que :

Número total de pessoas = 1.500

Número total de vacinados = 1000

Conseqüentemente,

Número de não vacinados = (1500 - 1000) = 500

Portanto, a probabilidade de selecionar aleatoriamente alguém que é vacinado:

Probabilidade = (resultado necessário / número de resultados totais)

P (selecionando alguém que não foi vacinado) =

500/1500

= 1/3 ou 0,3333

Which expression represents the positive solution of x ^ 2 = 8?

Answers

Answer:

x ^ 2 = 8

x = √8

A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?

Answers

9514 1404 393

Answer:

126 children63 adults60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.

8x + 4 - 3 - x
PLEASE solve it!!!!

Answers

8x - x + 4 - 3
= 7x + 1

Answer:

7x+1

Step-by-step explanation:

Add common variables. That's as far as you can go because you don't what the final answer is supposed to be.

Tanvir graphed the relationship between the number of rotations of the screwdriver and the height of a screw head above a piece of wood.

What does the slope represent in this context?

Choose 1 answer:

A. The height of the screw head above the wood before Tanvir rotated the screwdriver

B. The number of rotations it takes to change the screw head height by 1 millimeter

C. The number of millimeters per rotation that the screw height changes

D. None of the above



Please answer ASAP!

Answers

Answer:

C

Step-by-step explanation:

I did it

Answer: B

Step-by-step explanation:

Jordan can ride his bike 24 miles in 2 hours. How many miles can he ride his bike in 5 hours?​

Answers

Answer:

60 miles

Step-by-step explanation:

24 miles ÷ 2= 12

2 hours ÷ 2 =1

12 miles in 1 hour

1 hour × 5 = 5 hours

12 miles × 5 = 60 miles

60 miles in 5 hours

Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3.
The location of F' is (3,7).
Which of the following is the location of point F?
A (-7,-1)
B (1,5)
C (1,7)
D (-7,7)

Answers

Answer:

Step-by-step explanation:

1. Graph the points

2. Connect the point 3,7

3. Reflect it over line x=-2 and y=3

THE ANSWER IS A (-7,-1)

The location of the point F should be considered as the option A.  (-7,-1).

Calculation of the location:

Since Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3. The location of F' is (3,7).

So here we have to do graph the points, then connected the points i.e. 3 and 7. And, then reflect it over the line i.e. x = -2, and y = 3

So here the answer should be (-7,-1)

Learn more about point here: https://brainly.com/question/14424200

Camilla and Claudette offer hourly gymnastics classes. Together they can teach 14 students
at a time. They offer classes at 4pm, 5 pm, and 6 pm Monday through Thursday and 9:30 am
and 10:30 am on Saturdays. A one hour class costs $50. Their gymnastics arena costs them
$3,200 a month in rent and utilities. How much profit do they make in one month? Assume a
4 week month.

Answers

Answer:

so its 37377 im doing this for points

Step-by-step explanation:

i dont know if its wrong but add 1+h3

Payton uses 1 1/2 cups of vinegar in her salad dressing recipe. How much vinegar would Payton use to make 4 2/3 recipes? Plsssssssssssssssss hurryyyyyyyyyy

Answers

Answer: 3 1/9 cups of vinegar

Step-by-step explanation:

From the question, we are informed that Payton uses 1 1/2 cups of vinegar in her salad dressing recipe.

To know how much vinegar Payton would use to make 4 2/3 recipes, we divide 4 2/3 by 1 1/2. This will be:

= 4 2/3 ÷ 1 1/2

= 14/3 ÷ 3/2

= 14/3 × 2/3

= 28/9

= 3 1/9 cups of vinegar

I need help pls !!!!!!

Answers

Answer:

45

Step-by-step explanation:

answer this question: what is 9+10

Answers

Answer:

nineteen

Step-by-step explanation:

ty for the points luv

Which of the following is not a congruence theorem or postulate?

Answers

Answer:

where are the following???

Step-by-step explanation:

find the value of y that makes the equation y = 1/2 x -2 true when x = 4 choose one
A) -4 B) 0 C) 1 D) 4

Answers

Answer:

B) 0

Step-by-step explanation:

which value of x makes the equation 8(x - 8.5) = 4 true

Answers

Answer:

x=9

Step-by-step explanation:

Rocio poured a square patio outside her back door. Each side measured 8.5 feet. Which equation represents the perimeter, in feet, of Rocio's patio? A. 8.5 + 8.5 = 17 B. 4 × 8.5 = 34 C. 2 × 8.5 = 17 D. 8.5 × 8.5 = 72.25

Answers

Answer:

B. 4 × 8.5 = 34

Step-by-step explanation:

The formula for calculating the perimeter of the square patio is expressed as;

P = 4L

L is the length of each side of the square patio

Given

L = 8.5 feet

Required

Perimeter in feet of Rocio's patio

Substitute the given parameter into the formula;

Perimeter = 4 * 8.5

Perimeter = 34ft²

Option B is correct.

Answer:

Step-by-step explanation:

72.25 the answer

(7th gradish answer please)
Define coordinate in your own words

Answers

The exact position of points on a graph! usually using values :)

Answer:

A specific instead of general place where you can find something

If 4x + 7 = 23, find the value of 12 + 2x

Answers

Answer:

2x+12

Step-by-step explanation:

i hope this helps

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