Select the correct answer from the drop-down menu.

A crop duster departs an airport at a bearing of 270°, or due west, and travels 40 miles to farm A. After treating the farm, the crop duster turns

to a bearing of 160, or s 20's, and travels for 28 miles to reach farm B. After treating the farm, the crop cluster will return to the airport.

N

farm A

W

E

E

40 miles

70

airport

28 miles

farm B

S

miles to return to the airport.

The crop duster will travel about

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51.3

48.8

40.2

Answers

Answer 1

Answer:

40.2

Step-by-step explanation:

law of cosines

x^2=40^2+28^2-2*28*40*cos(70)

put in calculator and square root the answer

40.222.... is approximately 40.2


Related Questions

What calculation is modeled on the number line?

Answers

Answer:

top right

Step-by-step explanation:count how mnay it goes back each time

Answer:

Top right box

Step-by-step explanation:

Please help me I really need help

Answers

Answer:

A, C

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the ∠A is adjacent (adj) to  AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle

which one of the above trig functions fits that?

sin(Ф) = BC / AC   is sin(Ф)= Opp / Hyp , so choice A) works

cos(Ф) = BC / AC  is not cos(Ф) = Opp / Hyp  so choice B) does not work

cos(Ф) = BA / AC  is cos(Ф) = Adj / Hyp  so choice C)  works

AC / BC is just a ratio   it's not the angle , so D) doesn't work

Determine the length of GH. Round to the nearest tenth.
3.9 cm
G
52
642
H

Answers

Answer:

|GH| = 5,7 cm

Step-by-step explanation:

To know |GH|, you first need to find the length of |GD|.

We can calculate |GD| by;

cosG = |GC| / |GD|

<=> |GD| = |GC| / cosG

 => |GD| = 3,9 cm/ 0,62 = 6,33 cm

We now can easily calculate |GH| with the sinus of angle D;

sinD = |GH| / |GD|

<=> |GH| = sinD.|GD|

 => |GH| = 0,899.6,33 cm = 5,694 cm => 5,7 cm

I hope i did not make a mistake ...

Can you explain how to solve this

Answers

I believe it’s 180 or something to do with that

number 2 pls, asap! i need this for practice for finals

Answers

Answer:

C.   a = 6

Step-by-step explanation:

Use the Pythagorean theorem

[tex]a^{2} + 8^{2} = 10^{2}[/tex]

[tex]a^{2}[/tex] + 64 = 100

[tex]a^{2}[/tex] = 36

a = 6

c) Convert the following from standard notation to scientific notation.
Depth of the deepest part of the ocean: 10,900 meters​

Answers

Answer:

1.09x10^4

Step-by-step explanation:

The radius of a circle is doubled. Which of the following describes the effect of this change on the area? PLZZZ HELP!!! THE RED IS THE QUESTION I GOT WRONG

Answers

Answer:

The area is multiplied by 4

Step-by-step explanation:

The area of a circle is directly proportional to its square radius so if the radius is increased by x, the area will be increased by x ^ 2

Answer:

The area is multiplied by 4.

Step-by-step explanation:

A linear function that represents the number of hot dogs purchased at a football game is compared to a different linear function that represents the time left in the game. Describe the key features of the functions that are needed to determine if these lines intersect.

Answers

Well if y1= m1x + b1

y2 = m2 x + b2

Lines are the same if m1 = m2 and b1 = b2 (they intersect in infinitely many points)
If b1 ≠ b2 and m1 = m2 then lines are parallel and do not intersect
If m1≠ m2 then lines will intersect at one point

The key features needed are the slopes and y-intercepts. If the slope and the y-intercept are the same then there are infinite amounts of intersections. If the slope is the same and the y-intercept is different then they will never intercept. Of the slope and the y-intercept are different, then they will intersect at one point.

if using the method of completing the square to solve the quadratic equation x^2-20x+24=0x
2
−20x+24=0, which number would have to be added to "complete the square"?

Answers

Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, the equation is:

[tex]x^2 - 20x + 24[/tex]

Placing it in vertex form, we would have:

[tex](x - 10)^2 + 24 + c[/tex]

Applying the square of the subtraction:

[tex](x - 10)^2 = x^2 - 20x + 100[/tex]

Hence, a number of -100 would have to be added to complete the square.

More can be learned about equation of a parabola in vertex form at https://brainly.com/question/17987697

2. What are the current values and appreciation rates of the two coins you selected?

Answers

Step-by-step explanation:

You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon

Find the area of right triangle ABC.

Answers

Answer:

16 sq. unit

Step-by-step explanation:

Area = ½ × base × height

= ½ × 8 × 4

= 16 sq unit

Would the graph showing the speed of a car over the course of time be a real example of a continuous function?

Answers

Answer:

where is the graph

Step-by-step explanation:

but off the top of my head

it would not be because the speed of a car has no relation to the course of time.

mrk me brainliest plzz

Y=2x+3 and y=x+2 what is the x,y

Answers

Answer:

x=-1, y=1

Step-by-step explanation:

Answer:

( -1, 1 )

Step-by-step explanation:

To solve, graph the equations and find the point of intersection.

when graphed these equations intersect at (-1, 1)

To double-check and make sure it's correct, plug in a solve.

x = -1

y = 1

y = 2(-1) + 3

1 = 2(-1) + 3

1 = -2 + 3

1 = 1

y = x + 2

1 = (-1) + 2

1 = 1

Please help! my friend needs help with his grade 11 math homework! Thank you

Answers

Answer:

a) the first negative number will be -1

b) A, B and C

c) 0.3

Step-by-step explanation:

What is 1 3/7 divided by 3 3/14 as a simplified fraction

Answers

the answer would be 4 9/14

4 9/14

Answer:

4 9/14

Step-by-step explanation:

SHOW YOUR WORK!!!!

At a pizza shop, customers can select either crispy crust (C) or deep crust (D). Suppose that two customers place an order and select their crust. What is the sample space for this action?

Answers

Answer:

A pizza shop offers 3 different toppings and 2 types of crust. How many possible types of pizza can you order if each pizza can have one, two, or three different toppings?

Step-by-step explanation:

Answer:

There are 2 outcomes they could've each chosen c or d or one chose c one chose d or the opposite way around

Step-by-step explanation:

HEY! help pleaseee :)

Answers

Answer:

97

Step-by-step explanation:

Answer:

Hello! answer: x = 12

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees 12 + 42 = 54 3 × 12 = 36

54 + 36 = 90 therefore x = 12 HOPE THAT HELPS!

18x-12=
24x+48=
45x_81=
8x+15=

Answers

Answer:

1)  6(3x-2)

2) 24(x+2)

3) 9(5x−9) or 9(5x+9) if you meant to put addition.

4)8x+15

scientific Notation helpppppp ;-;

Answers

Answer:

7

Step-by-step explanation:

[tex]2.8 \times {10}^{5} = 2.8 \times 100000 = 280000 \\ 4 \times {10}^{4} = 4 \times 10000 = 40000 \\ 280000 \div 40000 = 7[/tex]

Consider the quantic (power of five) function p(x) = 4x5 + 32x2
.
a) Fully factor the polynomial.

b) Use the factored form that your obtained from part a) to sketch the graph of y = p(x).
Label two points on the graph.

10. From the quantic function in question 9, if Lisa took the graph of y = p(x) and applied the
following transformations to produce the new function g(x). (4 marks)
Step 1: Vertical stretch by a factor 2.
Step 2: Vertical translation one unit up.
How may zero(s) does new function g(x) have? Sketch a possible graph and explain your
reasoning

Answers

Answer:

uu<uuuu<uuuu<uuuuuuuu

plz plz plz help i'll give 10pts
DON'T ANSWER WITH A LINK :)

Answers

Answer:

40 shots total.

Step-by-step explanation:

First, change the percentage to a decimal:

80% = 80/100 = 0.80

Next, divide the amount of baskets made (32) with the decimal gotten to get the  total amount of shots:

32/0.80 = 40

Brandon took a total of 40 shots.

Check. Divide 32 (shots made) with the 40 (total shots in all):

32/40 = 0.8 = 80%.

~

you bet your friend $5 that you could say the alphabet backwards. You lost. so you bet your friend double or nothing. Assume this continues forever. Write the equation for your balance over time​

Answers

Answer:

zyxttfhtyhrgdkouk.

Step-by-step explanation:

Can anyone help with this? I don't get what their asking

Answers

Answer:

7b(4b+4c)-3c(4b+4c)

28b²+28bc-12bc-13c²

hope this helps

sorry dunno the other

The formula for the probability of something happening is

Answers

Answer:

i don't know

Step-by-step explanation:

maybe x=something happend

1/x

y=x+12
y=-18
jhbnm
hfgklhkhvhgnkgvnbmn

Answers

Answer:

x=-30

Step-by-step explanation:

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

Identify the area of the figure. HELP ASAP PLEASE!!!

Answers

Answer:

Match each wave characteristic to its description.

frequency

wavelength

amplitude

the number of cycles of a wave per second

arrowRight

the distance between adjacent crests or troughs

arrowRight

the height of a wave from its equilibrium position

arrowRight

help

Step-by-step explanation:

For what value(s) of x is the equation not true?

Answers

Answer:

The equation is not true at x = -7.

Step-by-step explanation:

At x = -7 we'd have division by zero, which is not defined (not allowed).  

Suppose two triangles are similar and one pair of sides of the triangles are congruent. Are the triangles necessarily congruent? Explain your reasoning.​

Answers

Answer:

Yes. For the triangles to be similar, all of the sides have to be proportionate to its corresponding side. If the ratio of one of the pairs sides of the triangles is 1:1, then all of the pairs of sides on the triangles have to also have a ratio of 1:1. Using this, according to SSS postulate, the two triangles are similar. With the given information, either both triangles are congruent, or they are not similar.

Step-by-step explanation:

Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the two factors need to : add up to ___ multiply to ___

Answers

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is [tex]x^2-6x-27[/tex].

We need to find two factors. We know that,

3(9) = 27

So,

[tex]x^2-6x-27[/tex] can be written as :

[tex]x^2+3x-9x-27[/tex] as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

If x=9 units, y= 3 units and h= 8 units find the area of the rhombus shown about using decomposition

Answers

Answer:

72 sq. units

Step-by-step explanation:

Find the diagram attached

The rhombus is the area of the two triangles and the rectangle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * y * h

Area of triangle = 1/2 * 3 * 8

Area of triangle = 3 * 4

Area of triangle = 12 sq.units

Area of  2 triangle = 2(12) = 24 sq. units

Area of the rectangle = length * width]

Area of the rectangle = h (x-y)

Area of the rectangle = 8(9-3)

Area of the rectangle = 8 * 6

Area of the rectangle = 48 sq. units

Area of the rhombus = 24 + 48

Area of the rhombus = 72 sq. units

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