An aircraft is timetabled to travel from A to B. Due to bad weather it flies from A to C then from C to B, where AC and CB make angles of 27° and 66° respectively with AB. If |AC| = 220 km, calculate |AB|.​

a_n=224(1/2)^n-1

HURRY I NEED TO FINSIH THIS TEST BEFORE 12:00

What graph represents the piecewise-defined function? 6 if x 3 y = 3 if 3 < x < 2 5 if x 2 >

Answer:

$27,039

Step-by-step explanation:

Calculating the amount of interest :

Given values :

Solving :

Answer:

See below ~

Step-by-step explanation:

Section (xiii) :

Section (xiv) :

It is indicated in the diagram that CE = EB :

Answer: xiii: x=4        xiv:  x=5 y=11

Step-by-step explanation:

Ok, for xiii, there is a ratio.

BD:DC   aka 3:x   You're trying to solve for x (DC)

On the other side of the equation, it's AB:AC aka 6:8  This ratio can be simplified to 3:4 (when you divide both sides by 2)

To set things up:

3:x = 3:4

Notice the similarity? Since they are equal to one another, x must be 4.

Now for xiv, you're trying to find the values of x and y.

DE=3 and AB=x+1

DE=1/2 of AB

so,  

3=(x+1)/2 Solving for x, multiply both sides by 2

6=x+1        subtract both sides by 1

-1     -1

x=5    

If you plug x to AB, AB = 6

Plug x to BE = 4

To find y, notice how there is a dash that marks them as congruent, so the lengths BE and EC must be equal.

so y-7=4     (adding 7 to both sides)

     +7    +7

y=11

The number that is equal to [tex]\frac{4}{2}[/tex] is 2

When you ask "What is 4/2 as a whole number?" you are asking to convert the fraction [tex]\frac{4}{2}[/tex] to a whole number.

The fraction [tex]\frac{4}{2}[/tex] has a numerator of [tex]4[/tex] and a denominator of [tex]2[/tex]. To convert [tex]\frac{4}{2}[/tex] to a whole number, you simply divide the numerator by the denominator.

Given that:

[tex]\frac{4/2=2}{2/2=1} =\frac{2}{1}=2[/tex]

Therefore, The number that is equal to [tex]\frac{4}{2}[/tex] is 2

Learn more about finding the whole number of a fraction here:

https://brainly.com/question/17792318

By looking at this problem:

  ⇒ must use trigonometric functions:

     ⇒ (look at image attached for further reference)

Let's solve:

          [tex]sin(10)=\frac{a}{13}\\ a = 13sin(10)\\a=2.25743[/tex]

          [tex]cos(10)=\frac{b}{13} \\b = 13cos(10)\\b = 12.80250[/tex]

Make sure to round your answer to four decimal points

Answer:

Hope that helps!

Answer:

O is in between m and p so it is 6

Step-by-step explanation:

In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

Answer:

The slope would be 3.

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y1-y2}{x1-x2}[/tex]
We can plug these numbers into the equation by doing [tex]\frac{1--5}{2-0}[/tex]
1--5 is equal to 1+5, which is 6.
2-0 is equal to 2.
[tex]\frac{6}{2}[/tex] is 3, which is how you get your answer.
I hope this helps! :)

Answer:

Question?

Step-by-step explanation:

where is the Question?

The equation of line which is parallel to line is y = (-2x-7)/3.

Gradient is the ratio between change in y-axis to change in x-axis.

Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]

gradient of line m₁ = -2/3

Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is

(y - y₁) = m₂(x - x₁)

( y - 3) = -2/3(x+8)

3y - 9 = -2x -16

3y = -2x -16 + 9

3y = -2x -7

y = (-2x-7)/3

Thus, the equation of line which is parallel to line is y = (-2x-7)/3

Learn more about Gradient from :

https://brainly.com/question/13050811

#SPJ1

[tex]\underset{\leftarrow ~~ 6x+9 ~~ \to }{J\stackrel{20}{\rule[0.35em]{15em}{0.25pt}} K\stackrel{x + 9}{\rule[0.35em]{10em}{0.25pt}} L} \\\\\\ \stackrel{JL}{6x+9}~~ = ~~\stackrel{JK}{20}+(\stackrel{KL}{x+9})\implies 6x+9=29+x\implies 5x+9=29 \\\\\\ 5x=20\implies x=\cfrac{20}{5}\implies x=4\hspace{5em}\boxed{\underset{KL}{\stackrel{(4)~~ + ~~9}{13}}}[/tex]

Answer:

The two formats used in an observation checklist are:

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

a) Triangle A is rotated 90 degrees anticlockwise about (-1,0) to give triangle A'.

Triangle A' is then reflected in the line y=0 to give triangle A''.

b) Rotation

a) Triangle A is rotated 90 degrees anticlockwise about (-1,0) to give triangle A'. Triangle A' is then reflected in the line y=0 to give triangle A''.

b) Rotation

Given,

Triangles A , A' , A'' .

Here,

The triangles are rotated and reflected to get different triangles .

Firstly ,

Triangle A is made to be rotated by 90° in anticlockwise direction at point (-1 , 0) .

To get A'' triangle A' is reflected from horizontal axis.

Triangle A maps into triangle A'' by rotation .

Know more about triangle transformation,

https://brainly.com/question/31241624

#SPJ2

Step-by-step explanation:

Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)

Answer:

B

Step-by-step explanation:

150 = πr² * r

r = 3.62783

V = 4/3 (π * 3.62783³)

V = 199.99 cubic units or 200

Answer:

A square

Step-by-step explanation:

Its hard to mark the coordinates but its likely for it to be a square

The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A large company boasts in their promotional literature that 75% of their employees have college degrees.

A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.

If a hypothesis test were to be performed to test the company’s claim.

Then the hypotheses represent the appropriate pair of hypotheses will be

H₀: p = 0.75

Hₐ: p ≠ 0.75

Thus, the correct option is C.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

#SPJ1

The probability that they have a mean salary between $40,000 and $50,000 is 0.01.

A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large.

The z-score for 40,000 is

= (40,000 - 66000) / (14,000 / √4)

= -26000/7000

= -3.714, P- value is 0.000102

The z-score for 50,000

= (50,000 - 66,000) / (14,000 / √4)

=-2.285, P- value is 0.0111564

P(40,000 < x < 50,000) = P(  -3.714< z < -2.285)

So,

= P(50,000)-P(40,000)

= 0.0111564-0.000102

=0.011

Hence, the probability that they have a mean salary between $40,000 and $50,000 is 0.01.

Learn more about this concept here:

https://brainly.com/question/15196152

#SPJ1

Answer:

515.1

Step-by-step explanation:

easy

Answer:

x = 33.

x = 2.

Step-by-step explanation:

200(x-0.3)=600

200x - 60 = 600

200x - 60 + 60 = 600 + 60

200x = 660

x = 660/200

x = 3.3.

-10(x-1.7)=-3

-10x + 17 = -3

-10x + 17 - 17 = -3 - 17

-10x = -17 - 3 = -20

     x = 2.

Answer:

A term is a single number or variable, in this case, the number 2.

The sum in this equation would be 4x + 2.

The product is the result of multiplication, in this equation, the result of 5(4x + 2).

The factors are the digits that are being multiplied, in this case, 5 & 4x + 2

The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.

A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.

Answer:

It would not

Step-by-step explanation:

(12-4)=4+1 would be 8=5

12-4=4+1 would also be 8=5

Answer:

0.03%

Step-by-step explanation:

[tex]\frac{11}{150}(\frac{10}{149})(\frac{9}{148})[/tex]

≈ 0.03%

Answer:

$1,129.27

Step-by-step explanation:

Compounded interest formula is

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the principal, [tex]r[/tex] is the anual interest in decimal, [tex]n[/tex] is the numer of compounded periods in one year and [tex]t[/tex] is the time in years.

[tex]P= 800\\r= 0.09\\n= 1\\t= 4[/tex]

So then we plug our numbers...

[tex]A=800(1+\frac{0.09}{1})^{1(4)}=800(1.09)^{4}[/tex]

[tex]A=$1,129.27[/tex]

After 4 years the amount would be $1,129.27

Answer:

40/8

Step-by-step explanation:

last one i think

Answer:

The rule a+b=b+a, for all real numbers a,b, is the commutative law for addition. The fact that we can have g∘h≠h∘g, for some functions g,h, says that composition of functions is not commutative. Composition of functions is not the same as multiplication of functions: f=h∘gmeansf(x)=h(g(x))j=h⋅gmeansj(x)=h(x)g(x).

Answer: 3 is 17.6471% of 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

lateral edge is an edge from the base to the vertex. As opposed to a base edge.

If the base edge is 6, the base diagonal is 6√2

Now draw a right triangle from the center of the base to the vertex, including one base corner.

(6√2/2)^2 + h^2 = (√34)^2

18 + h^2 = 34

h = 4

So, now we have height 4 and base edge 6, so the faces are triangles with

base = 6

height = √(3^2 + 4^2) = 5

lateral area is thus 4 * 1/2 (6)(5)

add the square base if desired.

Answer:

8640

Step-by-step explanation:

1) Volume of the lower prism:

V1 = 27*20*12 = 6480

2) Volume of the higher prism:

V2 = 9*20*12 = 2160

3) Volume of the podium: V1 + V2 = 8640