A jet airliner, flying initially 300 mi/hr due
east, suddenly enters a region where the
wind is blowing 100 mi/hr, pushing the
aircraft in the direction 30° north of east.
What is the resultant speed of the aircraft?

Answer:

Step-by-step explanation:

Step 1: Factor left side of equation.

(3x−4)(x−2)=0

Step 2: Set factors equal to 0.

3x−4=0 or  x−2=0

Answer:

x= 4 /3  or x=2

Answer:

5/3 +/- 1/3

or

x= 2

or

x= 1 /3

Step-by-step explanation:

plug all of the numbers into the formula attached,

the first coefficient is a, the second is b, and the last is c

So a=3 b=-10 and c=8

Answer:  m= -1/2

Step-by-step explanation:

Hope the gif loads to help you but if not thats the answer.

Answer:

4/5 is grater than 45/100

Step-by-step explanation:

Why?

because in percentage you make the bottom # a 100 one of them already has that and when it has 100 on the bottom it tells you that the top # is the percentage so 45/100 is 45%

now to make 4/5 a percentage what times 5 = 100?

20 does

so you times the top and bottom by 20

4*20= 80

now your fraction is 80/100  (top # tells you the %)

it's 80%

80% is grater than 45%

Answer:

4/5 is greater than 45/100.

Step-by-step explanation:

In order to figure it out, you need to make both fractions have common denominators. In order to do that, you figure out this:

5 times what equals 100? It's 20.

With fractions in this situation, whatever you do to the top, you have to do to the bottom. So, you multiply 4 times 20, which is 80.

In the end, you would end up with these two fractions:

80/100 and 45/100.

Obviously, 80/100 is greater than 45/100. In the beginning, 80/100 was originally 4/5. Therefore, 4/5 is greater than 45/100.

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Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

The question you may be trying to ask is "A car can travel 288 miles on a full tank of gas. The gas tank holds 16 gallons. How many miles per gallon does the car get?"

Answer:

The car gets 18 gallons per mile.

288 / 16 = 18

Answer:

Question 3: (D) All real numbers. Question 4: (B) y > 3.

Answer:

let the three no. be x, x+2, x+4

so, x+x+2+x+4= 51

3x+6= 51

3x=45

x=15

hence the required numbers are

x=15

x+2= 17

x+4=19

Answer:

figure it out

Step-by-step explanation:

Answer:10 dollars and 50 cents

Step-by-step explanation:315 divided by 30

Answer:

First, Third, Fourth, Fifth

Step-by-step explanation:

x² + 2x - 24 = (x + 6)(x - 4) = x² - 4x + 6x - 24 = x² + 2x - 24

True.

x² - 8x + 15 = (x + 5)(x +3) = x² + 3x + 5x + 15 = x² + 8x + 15

False.

3x² + 4x + 1 = (3x + 1)(x + 1) = 3x² + 3x + x + 1 = 3x² + 4x + 1

True.

5x² - 2x - 3 = (5x + 3)(x - 1) = 5x² - 5x + 3x - 3 = 5x² - 2x - 3

True.

4x² - 49 = (2x - 7)(2x + 7) = 4x² + 14x - 14x - 49 = 4x² - 49

True.

First, Third, Fourth, Fifth

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

4πd2=1

4·π·42≈12.56637cm²

Answer:

area of a circle with a diameter of 4cm=π(d/2)²

=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]

Answer:

t=22

Step-by-step explanation:

just add 8 on both sides

Answer:

8

Step-by-step explanation:

40 ÷ 5 = 8

56 ÷ 7 = 8

so then just divide 64 by the one we know, which is 8

64 ÷ 8 = 8

Answer:

$46,800

Step-by-step explanation:

3/5 of 240 is 144

144*325 is 46,800

Answer:

b3/5of240 is144thentimesby325.00

Answer:

0.68

Step-by-step explanation:

miles=13

hour=19

Now,

Speed=Velocity/Time Taken

=13/19

=0.6842miles/hour

Answer:

all numbers

Step-by-step explanation:

3x - 5(x + 6) = -2x -2(5 + 10)

Distribute on both sides.

3x - 5x - 30 = -2x - 10 - 20

Add 2x to both sides.

-2x - 30 = -2x - 30

-30 = -30

Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.

Answer: all numbers

Answer:

130.2 yd²

Step-by-step explanation:

Area of polygon using the length of the side, s, the apothem, a, and the number of sides, n.

A = san/2

A = (6.0 yd)(6.2 yd)(7)/2

A = 130.2 yd²

Answer:

the last one

Answer:

the answer is c

Step-by-step explanation:

Answer:

x\left(5-2\right)=4x-x ------> no solutions

14x-17-8x+2=12x+3-x-10 -----> unique solution

6\left(x-2\right)=6x-12 -------> no solutions

\frac{2}{3}x-\frac{7}{4}=\frac{4}{3}x-\frac{2}{3}\left(x+5\right) ------> infinite solutions

Step-by-step explanation:

Answer:

x=20,10

Step-by-step explanation:

Answer:5,8

Step-by-step explanation:

x^2= 3^2 + 5^2

x^2= 9 + 25

x^2= 34

x = (square root)34

x= 5,8

Answer:

x = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

x = [tex]\sqrt{34}[/tex] ← exact value

x ≈ 5.83 ( to 2 dec. places )

Answer:

bottom: 12 x 12 = 144

1st triangle: (12 x 8)/2 = 48

2nd triangle: 48

3rd triangle: 48

4th triangle: 48

144 + 48 + 48 + 48 + 48 = 336 cm squared

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

Answer:

2880

Step-by-step explanation:

2,500divide100=25x3.8=380

2500+380