tether
42°
24°
B
A
d
Two support crew, Barry and Angela are assisting the flight of a hot air balloon.
Barry is holding a tether that is 38 metres long. The angle of elevation at B is 42
and the angle of elevation at A is 24°. What is the distance between A and B?
Round your answer to the nearest tenth of a metre.

Answers

Answer 1

Answer:

44.4

Step-by-step explanation:

I got it correct on my test


Related Questions

7.74% of 789.13
Give your answer rounded to 2 DP.

Answers

Given :

A number 789.13 .

To Find :

7.74% of 789.13 .

Solution :

Let, 7.74% of 789.13 is x.

So,

[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]

Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .

i need help on this ​

Answers

Answer:

(500÷1.8)÷60

By dividing 1.8 out of 500, u can know

Can some one plz help fast F=-m+B/q^3

Answers

whaaaa

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sorreee

A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.

H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?

A. (x,y) -> (3x, 3y)
Original

B. (x,y) -> (2.5x, 2.5y)

C. (x,y) -> (2x, 2y)

D. (x,y) -> (1.5x, 1.5y)

Answers

Answer: B

Step-by-step explanation:

Side lengths: 24 in, 30 in, and 36 in

Answers

Volume of this is 25920 inches cubed

Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3.1 is

O 0.1.

O 1.

O 10.

O 100

Answers

The approximate change in the value of the function will be 10. Then the correct option is C.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = x² + 4x - 1

The average rate is calculated as,

Average rate = [f(3.1) - f(3)] / [3.1 - 3]

Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1

Average rate = (21.01 - 20) / (0.10)

Average rate = 1.01 / 0.10

Average rate = 10.1

Average rate ≈ 10

The approximate change in the value of the function will be 10. Then the correct option is C.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

#SPJ5

Can someone please help me? I need to get 10 of these right and I don’t understand them

Answers

9514 1404 393

Answer:

  (x, y) = (1, 1)

Step-by-step explanation:

About Algebra

All of Algebra is based on a few simple rules:

adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equal

When we solve equations by substitution, we make use of these facts.

__

About Substitution

Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.

Finding the Expression to Substitute

In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.

Let's choose to substitute for y. This means we need an equation of the form ...

  y = <some expression involving x>

The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...

  5x -y +y = 4 +y

  5x = 4 + y . . . . . . . . . simplified

Subtracting 4 (from both sides) gets us the form we want.

  5x -4 = 4 -4 + y

  5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y

Using the Expression to Substitute

Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:

  -x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation

  -x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses

  19x -16 = 3 . . . .  . . collect terms

This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.

  19x -16 +16 = 3 +16

  19x = 19 . . . . simplify

Now, we can divide by 19 (to both sides) to get x by itself.

  (19x)/19 = 19/19

  x = 1 . . . . almost done; we still need to find y

Finishing Up

Using the equation for y that we used for substitution, we can find y from our value of x.

  y = 5x -4 = 5×1 -4 = 5-4

  y = 1

So, the solution is x = 1, y = 1, or (x, y) = (1, 1).

_____

Additional comment

In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.

__

Alternate Solution

If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.

For example, we could solve the first equation for x:

  x = (4 +y)/5

Substituting that into the second equation gives ...

  -(4 +y)/5 +4y = 3

  -4/5 -y/5 +4y = 3

  (3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms

Now, you get to divide by 3 4/5 to get ...

  y = (3 4/5)/(3 4/5) = 1

Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.

  x = (4 +1)/5 = 1 . . . . finishing up

yall please help me with this math question :/​

Answers

3 chocolates bc it’s going up by 3 each time it escalates

PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6

Answers

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

It’s be b cuz it best supports

Plzzzz plzzz plzzz ps keiskskks

Answers

Answer:

42

Step-by-step explanation:

x/6=7

x=42

Answer:

42 should be the answer

Step-by-step explanation:

x ÷ 6 = 7

x ÷ 6 x 6 = 7 x 6

x = 42

7x-6y=9
5x+2y=19 Solve the system using elimination.

Answers

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.

Answers

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

What is the LCM of 2 and 8

Answers

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
































Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?

Answers

Answer:

The amount of sales=$6000

21 students earn the award

Step-by-step explanation:

1. amount of sales=100/3×$180

=$6000

2. 15/100×140=21

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

each unit cost 14p. How much do 942 units cost

Answers

Answer:

Answer: Cost of 1 unit = 14 p Cost of 942 unit = 14 × 942 == 13,188 p

Step-by-step explanation:

If you want to show an increase to the original quantity, how could you change the bar diagram?

Answers

Answer:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Step-by-step explanation:

what is 333x2+999-999 divided by 2 =

Answers

Answer:

333×2+999-999÷2= 333

Step-by-step explanation:

Answer:

333

Step-by-step explanation:

333 x 2 = 666

666 divided by 2 = 333

999 - 999 = 0, so it doesn't do anything to the final number

The answer is 333

hope this helped~

Carey needs $60 to buy her mothers a gift. She has saved 25% of that amount so far. How much has she saved so far?

\

Answers

Answer:

$15

Step-by-step explanation:

A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?​

Answers

Answer:

wish i could help have a gret day

Step-by-step explanation:

Answer:

43-7=36

Number of children in the group=36/2

=18children are there in the group

Step-by-step explanation:

The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number

Answers

Answer:

44

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:

x + y = 12

x - y^2 = 0

Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.

x + y = 12

-x + y^2 = 0

By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.

y = (-B +/- sqrt(B^2–4AC))/2A

This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.

Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.

As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.

Oakley works at a factory that packs products in two
different size boxes. Each small box holds 2.5 ft' of
products. Each large box holds 7.5 ft?
of products.



Answers

ok first you need to add e and 4 and get 95 out of haha

y = 6x + 8, find y when x = -3. *

Answers

Answer:

-10

Step-by-step explanation:

Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?

Write your answer as a mixed number in simplest form.

Answers

Answer:

116/8 - 87/8 = 29/8 = 3 5/8 gal

Step-by-step explanation:

James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip

Answers

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph

add 7 to 5, then divide b by the result

Answers

Answer:

you didnt say what b was but itd be 12/b

Step-by-step explanation:

Answer:

b/12

Step-by-step explanation:

whats b?

7 + 5 = 12

so whatever b is, divide that by 12

b/12

HELP ASAP!!!!
GIVING BRAINLIEST!

Find the value of x and y with the steps PLEASE.

Answers

Answer:

x=70

y= 40

Step-by-step explanation:

the triangle containing x is an isosceles triangle so two of the sides are 55.

55+55+x=180.

110+x=180

110-110+x=180-110

x=70

Triangle BAC is equilateral so 180/3=60. Now

x+60+c=180

70+60+c=180

130+c=180

130-130+c=180-130

c=50

That gives us one corner of triangle CBD. We know a second angle is 90 so

50+90+y=180

140+y=180

140-140+y=180-140

y=40

I think that is correct but you are free to check it yourself

Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

6 19/20 dollars

Step-by-step explanation:

Sonya had 20 dollars to spend on 3 gifts.

She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.

Gift A + Gift B + Gift C = $20

Gift C = $20 - (Gift A + Gift B)

Gift A = $8 1/4

Gift B = $4 4/5

Hence:

The amount she had left for gift C is :

Gift C = $20 - ($8 1/4 + $ 4 4/5)

Gift C = $20 - $13 1/20

Gift C = $ 6 19/20

What is the value if 5/6 ÷ 3/4

Answers

Answer:

5/8

Step-by-step explanation:

my bad

Answer:

Step-by-step explanation:

i got 1.11111111111 hope it helps ( give me brainliest please)

help with this .........

Answers

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

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