Given the triangle XYZ, what is cos Z?
Y
16
30
X
34
Z

Answer: 1200 Joules

Step-by-step explanation:

Given that:

Distance (d) across which bag is dragged = 20 meters

Applied force (F) = 60 N

The workdone is the product of the applied force and the distance through which the force is applied ;

Hence,

Workdone = Force * Distance

Workdone = 60 N * 20 m

Workdone = 1200Nm

OR 1200 Joules

The work done required to drag box is 1200 Joule.

Work done is defined as the energy transfer that occurs when an object is moved over a distance by an external force .

[tex]Workdone=force*displacement+cos\theta[/tex]

Where [tex]\theta[/tex] is angle between direction of force and displacement.

Here given that force F = 60 N and Displacement = 20 meters

Since, Displacement of box is in the direction of force.

Therefore, [tex]\theta=0[/tex] degree.

Substituting all the values.

 [tex]W=60*20*cos0\\\\W=1200*1\\\\W=1200joule[/tex]

Learn more:

https://brainly.com/question/21854305

Answer:

Step-by-step explanation:

I bet we can help each other I would like to be ur friend.:)

Answer:

22.50 + 9.50x = 165

*** x represents the number of shirts he's buying***

Answer:396  children and 217 adults swam at the pool.

Step-by-step explanation:

Step 1

let Children be represented as  x

and Adults  be represented as y

therefore

Step 2

x + y =  613.........equation 1 -----represents the 613 people (children and adults) that used the public swimming pool.

And

1.75x + 2.00y = 1127... equation 2------represents the daily prices which totaled 1127 dollars

Making x subject formulae in equation 1 and substituting in equation 2

x= 613-y

1.75(613-y) + 2.00y = 1127

1072.75 -1.75y+ 2y=1127

1127-1072.5 = -1.75y +2y

54.25=0.25y

y=54.25/0.25

y=217

Substitute y = 218 in (1)

x + 217= 613

x = 613-217

x = 396

396  children and 217 adults swam at the pool.

Answer: 396 children and 217 adults tickets were sold at the pool.

Step-by-step explanation:

Given data:

Number of people who used the pool = 613

Total sum on the receipt = 1127.

Price of adult tickets = $2

Price for children tickets = 1.75

Solution:

Let

Children = x

Adults = y

x + y = 613......... equation 1

1.75x + 2y = 1127..... equation 2

Multiply equation (1) by 2

2x + 2y = 1226........ equation 3

1.75x + 2y= 1127

Subtract (2) from (3)

0.25x = 99

x = 396

Substitute x = 396 in equation (1)

x + y = 613

396 + y = 613

y = 217

396 children and 217 adults tickets were sold at the pool.

Answer:

the answer is a or b and i think a

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

In a right triangle with legs x ( horizontal leg) and y ( vertical leg) and hypotenuse r, then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{r}[/tex]

Answer:

Yes

Step-by-step explanation:

First you gotta add the yes, and ten you multiply it by the no so yesXno but then you are left with a negative answer so then you wanna add an extra Yes to even it out and then it becomes YesXno+Yes and then you get your answer which is yes. I learned this from the man down the street that lives near the gas station

At that rate, the time taken to finish each lap will be 3.75 minutes each lap. The pair of quantities that form a proportional relationship will be 15: 4.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Trevor is training for a race. He swims 12 laps in 45 minutes.

At that rate, the time taken to finish each lap will be

⇒ 45 / 12

⇒ 3.75 minutes each lap

At that rate, the time taken to finish each lap will be 3.75 minutes each lap.

The pair of quantities that form a proportional relationship will be 15: 4.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ6

Answer:

0.6X

Step-by-step explanation:

Given that :

Discount on shirt = 40%

Regular price of shirt = X

The sales price of shirt after applying the discount will become :

Regular price - discount on price

X - (40% of X)

X - (0.4x)

= 0.6x

Hence.the sales price of shirt will be : 0.6x

Answer:

aszdxcfgvhbjnk

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

20 divided by 4 = 5 ( 25%)

5 x 3 = 15 ( 75%)

Hope this Helps!

Answer:

Ankur found that the quotient of a positive number and a negative number is negative

Step-by-step explanation:

Given that:

Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Mathematically,

( 15 1/3) ÷ (-4 2/3) = 3

Here,

Dividend = 15 1/3 (positive)

Divisor = - 4 2/3 (negative)

Dividing a positive Dividend by a negative Divisor will always give a negative quotient

Hence,

15 1/3 = 46 / 3

-4 2/3 = - 14 / 3

46/3 ÷ - 14/3

= 46/3 * -3 / 14

Ankur must have either forgotten or neglected the negative sign in the divisor

The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

Given that,

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

We have to find,

Which best describes his error?

According to the question,

The two [tex]15\dfrac{1}{3}[/tex] and [tex]-4\dfrac{2}{3}[/tex] number are mixed fractions.

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3

Then,

Convert the equation into an improper fraction,

[tex]= \rm \dfrac{15\dfrac{1}{3}}{-4\dfrac{2}{3}} \\\\\ Convert \ into \ improper \ fraction\\\\= \dfrac{\dfrac{15\times3+1}{3}}{\dfrac{-4\times 3+2}{3}} \\\\[/tex]

Now simplify the equation,

[tex]= \dfrac{\dfrac{46}{3}}{\dfrac{-10}{3}} \\\\\\ = \dfrac{\dfrac{46}{3} } {\dfrac{3}{-10}} \\\\\\ = \dfrac{-3}{14}[/tex]

The mistake he has committed, while dividing two fractions, he must have forgotten that one of the fractions which is in the denominator bears a negative sign before it.

Ankur forgot to put the negative sign before 3.

Hence, The correct option which describes Ankur's error is: Ankur found that the quotient of a positive number and a negative number is positive.

For more details refer to the link given below.

https://brainly.com/question/3676484

Answer:

0.91

Step-by-step explanation:

Answer: 0.91

Step-by-step explanation:

Answer:

5184ft

Step-by-step explanation:

d= distance an object falls when dropped from a tower

t= time it takes to fall

According to the first sentence,

d(sign of proportionality) t^2

Introducing a constant k:

d =kt^2

when d=144ft ,t=3sec

Substitute the values to find k

144 =k(3^2)

144 = 9k

k = 144/9

k =16

Substitute k =16 and t =18sec

d =kt^2

d =16×(18^2)

d =16× 324

d = 5184ft

Answer:

x^2+2xy+y^2-x-y-12.

Answer: 93 pages

Explanation: You are required to read 93 pages by next Monday.

Plz mark brainliest:)

Answer:

b. or c.

Step-by-step explanation:

Answer:

The anaswers are A and B

Step-by-step explanation:

Answer:

Step-by-step explanation:

given that the sample space is

24 sweets in a bag.

4 sweets are mint.

2 are humbugs.

3 sweets are jellies

sample size= 24+4+2+3= 33

The probability is the number of possible outcome/the number of event

the probability of picking a jelly is

Pr(jelly)=3/33

Pr(jelly)=1/11

Answer: Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds

Step-by-step explanation:

From the question,

5m + 6p = 38 ......... i

m + p = 7 .......... ii

Multiply equation i by 1

Multiply equation ii by 5

5m + 6p = 38 ....... iii

5m + 5p = 35 ....... iv

Subtract equation iv from iii

p = 3

Since m+p = 7

Therefore, m + 3 = 7

m = 7-3

m = 4

Marcaroni salad = 4 pounds

Potatoes salad = 3 pounds

Answer:

B is the answer

Step-by-step explanation:

Distribute and Combine Like Terms

Step-by-step explanation:

3(7/5x + 4)-2(3/2-5/4x)

21/5x + 12 - 3 + 5/2*

21/5x + 5/2 + 12 - 3

67/10x + 9

the correct answer is b

Answer:

1500 - 30x

Step-by-step explanation:

Aquí, queremos obtener una función que describa la cantidad de litros que quedan en la piscina a las x horas después de abrir la salida de drenaje.

De la pregunta, la capacidad total de la piscina. es de 1.500 litros.

La tasa de goteo es de 0,5 litros por minuto.

x horas es lo mismo que 60 * x = 60x minutos

La cantidad de litros caídos en 60x minutos será 60x * 0,5 litros = 30x litros.

Entonces el número de litros que quedan será; 1500 - 30x

Answer:

4: 5

Step-by-step explanation:

Because if you divide 16 by 4 and 20 by 4 you get 4:5, and that is one of the options.

Hope this helped mark this as brainliest if it did!

Answer:

4/5

hope this helped :)

Answer:

30

Step-by-step explanation:

1/3x+1/2x=25

3x+2x/6=25

5x/6=25

5x=25*6

x=25*6/5

x=30

so, the number is 30

plz mark brainest

Answer:

The single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Step-by-step explanation:

For the single inequality  -6 < x < 12,

To write the single inequality as two inequalities, first we will separate it into two as

-6 < x and x < 12

-6 is less than x means x is greater than -6, Hence, -6 < x can be written as

x > -6.

∴-6 < x and x < 12 becomes

x > -6 and x < 12

Hence, the single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Therefore, the correct option is the first one

x > -6 and x < 12

Answer:

22 seed packets

Step-by-step explanation:

we can look at this in a couple of ways. the first way to solve this is an algebraic problem. we know that 18 flowers came from 9 packets so 18 is going to be on one side of the equation while 9 is going to be on the other. we dont know how many seeds were in each packet though so we will use x to represent the amount of seeds. now our equation looks like this: 18 = 9x. heres how to solve it:

given: 18 = 9x

to get x alone we divide each side by 9 because its the opposite of muliplication: 2 = x

answer: x = 2 seeds per packet

another way we could figure this out is by using proportions. when we see the ratio flowers to packet is 18:9, we can tell that it needs to be simplified. we know both 9 and 18 are divisible by 9 so when we do that we get the answer, our ratio of flowers to packets is 2:1.

next, we need to look back at how we solved that problem we just did, and plug in our new numbers. when doing it algebraically, we follow these steps:

plug in: 44 = (x)2

x times 2 is equal to 2x: 44 = 2x

to get x alone divide each side by 2 because its the opposite of multiplication: 22 = x

answer: x = 22

if we want to solve it using ratios and proportionalities, we set it up flowers to packets like before so we have the ratio 44:x. seeing that the ratio was 2:1 last time, we know that 44 is 2 times x, or x is 1/2 (half) of 44. so we can find half of 44 to get x. half of 44 is 22 so 44:22 is the ratio's answer.

i hope this helped :))

Answer:

-1

Step-by-step explanation:

-5(-x-4)-3x-5=13

5x+20-3x-5=13

2x+15=13

2x=-2

x=-1

Step-by-step explanation:

Lets plug in the numbers for each equations:

1.     4 x 3 + -5 = 7

     and 4 times 3 equals 12. minus 5 is 7.

2.      4^3 is just 64

3.          -5--5

           we can just change the double negative to a plus:

             -5 + 5 = 0

Answer:

Simplifying

-9x + 4 + -12 = 64

Reorder the terms:

4 + -12 + -9x = 64

Combine like terms: 4 + -12 = -8

-8 + -9x = 64

Solving

-8 + -9x = 64

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + -9x = 64 + 8

Combine like terms: -8 + 8 = 0

0 + -9x = 64 + 8

-9x = 64 + 8

Combine like terms: 64 + 8 = 72

-9x = 72

Divide each side by '-9'.

x = -8

Simplifying

x = -8

Answer:

-8

Step-by-step explanation:

-9x + 4 - 12 = 64

-9x = 64 - 4 + 12

-9x = 72

x = -8