please help me !!!!

Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

Answer:

Let the sum be x.

Using formula,

I=

100

PRT

​

=

100

x×

12

15

​

×

2

15

​

​

−

100

x×

12

8

​

×

2

25

​

​

=32.50

⇒

2400

25x

​

=32.50

⇒x=

25

32.50×2400

​

=3120

∴ Required sum =Rs.3120

Step-by-step explanation:

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

Answer:

7th grade, I think

I looked it up but I am not 100% sure

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The solution of the given inequality is set of all x such that x < 14.

Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.

There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.

Linear inequalities will have the highest degree of the variable equals 1.

Given a linear inequality,

25x - 100 < 250

Adding both sides of the inequality with 100,

25x - 100 + 100 < 250 + 100

25x < 350

Dividing both sides of the inequality by 25,

25x / 25 < 350 / 25

x < 14

Hence the value of x in the inequality is all the values of x which are less than, < 14.

To learn more about Inequalities, click on the link given here :

https://brainly.com/question/20383699

#SPJ2

Answer:

a. Interest = $300

b. Payment to principal = $86.40

c. New balance = $‭59,913.6‬0

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.

The interest component is based on the total principal still due at the time and the principal repayment component will be the rest of the payment.

As the interest is listed in annual terms, it needs to be made a monthly rate:

= 6%/12 months

= 0.5%

Interest = 60,000 * 0.5%

= $300

Payment to principal = 386.40 - 300

= $86.40

New balance = Amount due - payment to principal

= 60,000 - 86.40

= $‭59,913.6‬0

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer:

1,500

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

False. You only flip when the number you are multiplying/dividing is negative.

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

Answer:

4 is the greatest common factor of 12

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

Learn more about probability here:
brainly.com/question/12478394

#SPJ2

Answer:

4, he is 4 spaces away from zero.

Step-by-step explanation: I know things

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

Answer:

i think it is the one you c

Step-by-step explanation:

Answer:

-6.3n + 8.6

Step-by-step explanation:

you add the terms together

Answer: -6.3n + 8.6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol