a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction​

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

Answer:

The answer is option C

Answer:

4 cm per hour that's the answer

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Answer:

B. 6 x 1/3 = 2

Step-by-step explanation:

2 is 1/3 of 6

So multiplying 6/1 (6) bu 1/3 :

6/1 * 1/3 = 6 / 3 = 2

If my answer is incorrect, pls correct me!

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-Chetan K

A + B are correct

via a p e x

The correct statements are A and B

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'

According to the given problem,

cos(A−B) = cosAcosB + sinAsinB .

Let A=90∘, B = a

Therefore.

cos(90∘−a) = cos90∘cosa + sin90∘sina.

Here, we have,

cos90∘ = 0, sin90∘ = 1.

cos(90∘−a) = sina

Now, we know,

sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]

For ∠BAC,

cosA = [tex]\frac{AB}{AC}[/tex]

For ∠ACB,

sinC =  [tex]\frac{AB}{AC}[/tex]

Hence, we can conclude, A and B are the true statements for the given right-angled triangle.

Learn more about right-angled triangle here:

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Answer:

the first one

Step-by-step explanation:

it is really easy to see in this case.

the main formula is just a sum of a sum.

anything you just add you can split in its parts and then sum it all up - it is still the same.

so, the sum of (n + 3/n) can be split without any additional tricks into the sum of n and the sum of 3/n, and then add both results together.

the second option is wrong, because a division cannot be split like an addition. just try the first two elements (n=10 and n=11) for the simplified formula of the sum of (3/n). 3/10 + 3/11 is definitely not the same as (3 + 3) / (10 + 11).

the third and fourth option are already disqualified, because "n" assists outside of the sum operation (but "n" is only defined inside of it).

Answer

“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:

At least one of the numbers contains 2³ in its factorization list.

At least one of the numbers contains 3² in its factorization list.

At least one of the numbers contains 5 in its factorization list.

“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.

“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.

The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.

The candidates for the 3rd number depends on how many 2s the 2nd number has.

If more than one: 2, 6, 18, 10, 30, 90

If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360

Answer:

x = 24

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(14+18)* 18 = x^2

32*18 = x^2

576 = x^2

Take the square root of each side

sqrt(576) = sqrt(x^2)

24 =x

the answer is 3

.............. .......

Answer:Its the last one to the left up

Step-by-step explanation:

Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

=====================================================

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]

Using a calculator, we can help verify this

[tex]\sqrt{97} \approx 9.85[/tex]

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

Answer:

Step-by-step explanation:

Answer:

its the first, 3rd, and 5th option

Step-by-step explanation:

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

a. h = -2t + 29

b. 14.5 inches (not sure)

c. 5 1/2 minutes

d. The domain means the amount of time elapsed.

e. The value of h means the height of the water left

Step-by-step explanation:

The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

Answer: The ray will move to the right and it will be a closed circle.

Answer:

6 ft

Step-by-step explanation:

Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36

Answer:

3/25

Step-by-step explanation:

Answer:

=325

Showing Work:

12%=12100

=0.12

=0.121×100100

=12100

=325

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

More about the parallelogram link is given below.

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Answer:

Answer:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Step-by-step explanation:

The domain of a function represents the range of x-values that the function has. The range of a function represents the range of y-values that the function has.

Coordinates are written as (x, y). Thus, the domain of these ordered pairs include the x-values of each ordered pair. Similarly, the range of these ordered pairs include the y-values of each ordered pair. Therefore, we have:

[tex]\text{Domain: }\{-6, -3, -1, 5\}\\\text{Range: }\{-4, 0, 2, 5\}[/tex]

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.