If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

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Answer: 1950 is how many it will hold.

Step-by-step explanation:

Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]

If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)

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Explanation:

We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.

Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]

Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.

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Optionally you can expand out each product in the numerator and denominator to get

(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4

(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8

I used the FOIL rule

So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]

Answer:

The true statements are

The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}

f(-3) = 2

Extra:

x -5 -3 0 2 6 7 9 10 13

f(x) 1 2 3 0 1 2 3 0 1

Answer:

V = Bh

Step-by-step explanation:

Answer:

v=lwh

v=bh

Step-by-step explanation:

edge2020

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

Answer:

c. 8 cubes

Step-by-step explanation:

In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.

The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces

Answer:

Some examples of integers are -1, 0, and 1.

Answer:

a=250 and b=10

Step-by-step explanation:

a=5*100/2=250

b=200*5/100=10

Answer:

a = 250

b = 10

Step-by-step explanation:

1) a = [tex]\frac{5x^2}{2}[/tex]

Putting x = 10

a = 5(10)²/2

a = 5(100)/2

a = 250

2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]

Putting x = 10

b = 2(10)²(10-5) / 10(10)

b = 2(100)(5) / 100

b = 1000 / 100

b = 10

Answer:

false

Step-by-step explanation:

Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Pythagorean theorem

c² = a² + b²

26² = a² + 24²

a² = 26² - 24² = 100

a = √(100) = 10

The length of unknown leg will be a = 10 units

The steps are as follow:

(hypotenuse)^2 = (Side)^2 + (Side)^2

(26)^2 = (24)^2 + (a)^2

676 = 576 + (a)^2

(a)^2 = 676 - 576

(a)^2 = 100

a = 10 units

So the length of unknown leg will be a = 10 units

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Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

_______________________________

Hey!!

Solution,

X+X+y*y

= 2x+y^2

The answer is 2x+y^2

hope it helps

Good luck on your assignment

____________________________

Answer:

The y-intercept b = 9/2

Step-by-step explanation:

A line has equation  x + 4y = 8  or y = (-1/4)x + 2

=> The slope of this line is -1/4

Another line y = ax + b has the slope a = -1/4 and passes (6, 3)

=> 3 = (-1/4)*6 + b

=> 3 = -3/2 + b

=> b = 9/2

=> The y-intercept b = 9/2

Answer: y-intercept = 2

Step-by-step explanation:

Slope-Intercept form of an equation is:  y = mx + b   where

x + 4y = 8

     4y = -x + 8

       [tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+2[/tex]

The y-intercept (b) = 2

I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.

y = mx + b

3 = m(6) + 2

1 = 6m

[tex]\dfrac{1}{6}=m[/tex]

Equation: [tex]y=\dfrac{1}{6}x+2[/tex]

Answer:

X=55

Step-by-step explanation:

90 + 35 + X=180

125+X=180

X=55

Answer:

Step-by-step explanation:

Hope it helps you!

Step-by-step explanation:

just draw out according to a graph chart or pie chart

Answer:

2:55 P.M

Step-by-step explanation:

After the movie: 10:26 A.M. + 2 hours and 51 minutes --> 1:17 P.M.

After the card game: 1:17 P.M. + 32 minutes --> 1:49 P.M.

After playing soccer: 1:49 P.M. + 1 hour and 6 minutes --> 2:55 P.M.

Answer:

see below

Step-by-step explanation:

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Answer:

E. y = 1/4x

Step-by-step explanation:

Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis

The solution to the inequality shown is -4 < n ≤ 5

Inequality is an equation that is used to show the non equal comparison of two or more numbers and variables.

From the inequality, we can see that:

n > -4 as well as n ≤ 5

Combining this two inequalities gives:

-4 < n ≤ 5

The solution to the inequality shown is -4 < n ≤ 5

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Answer:

5,5,5

Step-by-step explanation:

an equilateral triangle

Answer:

3^ 6

Step-by-step explanation:

3^-2 * 3^8

We know that a^b * a^c = a^(b+c)

3^(-2+8)

3^ 6

Answer: [tex]3^{6}[/tex]

Step-by-step explanation: Since these two powers have the same base of 3, we can multiply them together by adding their exponents.

So [tex]3^{-2}[/tex] [tex]x[/tex] [tex]3^{8}[/tex] is [tex]3^{6}[/tex].

This idea is called the product rule.

Answer:

a) k = 3 b) k = 4

Step-by-step explanation:

a) 3 x 7 = 21

b) 4 x 3 = 12

Answer:

1) k=3 (2) k=4

Step-by-step explanation:

[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]

Answer:

there are fourteen 4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test :

m + n = 40 | 4n + 2n = 108

Multiplying (i) by 2 , we get

2m + 2n = 80

Subtract (iii) from (ii) , we get

2m = 28

⇒ m = 28/ 2 = 14

Using value of m in (i) , we get

14 + n = 40 ⇒ n = 26

from this we get there are fourteen  4-point questions and twenty six 2-point questions.

hope this helped!

Answer:

A. 15.5

Step-by-step explanation:

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

Answer:

so the answer is the third one