A man in a tower spots three hot air balloons flying at the same altitude. Balloon
A is 5 miles east and 8 miles south of the
tower. Balloon B is 7 miles west and 10 miles
north of the tower. If Balloon C is located
four-ninths the distance from Balloon A to
Balloon B, find the location of Balloon C
relative to the tower.

Answers

Answer 1

Answer:

90/4= 12.9

1*3/4= 0.75

Step-by-step explanation:

Answer 2

The location of Balloon C is 0.13 miles relative to the tower.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Balloon A is 5 miles east and 8 miles south of the

tower.

Balloon B is 7 miles west and 10 miles north of the tower.

If Balloon C is located four-ninths the distance from Balloon A to Balloon B,

According to the question, AB distance is 21.64 miles

⇒ 21.64×4/9 = 9.61

⇒ 9.61 - 9.43 = 0.18

⇒ 0.18×7/10 = 0.13

Hence, the location of Balloon C is 0.13 miles relative to the tower.

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Related Questions

Can y’all help me on question 21

Answers

Answer:

D. 2.865

Step-by-step explanation:

simply subtract 35.209 from 38.074

Answer: 2.865

Step-by-step explanation:

if this is as simple as i think it is, then you just subtract 35.209 from 38.074. that gets you your answer (2.865).

Can I please get some help on question 8
I will give you brainliest

Answers

Answer:

A) 2.8 m

Step-by-step explanation:

The formula for the volume of a right rectangular prism is:

Volume = Length × breadth × height

We can just put in the values that we know to find the height.

110.1 = 7.8 × 5.1 × height

height = 110.1 ÷ 7.8 ÷ 5.1

height ≈ 2.8 (rounded to nearest tenth)

Thus, the answer is Option A.

Answer:

A) 2.8 m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Step-by-step explanation:

Step 1: Define

l = 7.8 m

w = 5.1 m

V = 110.1 m³

Step 2: Solve for h

Substitute [VRP]:                    110.1 m³ = (7.8 m)(5.1 m)hMultiply:                                  110.1 m³ = (39.78 m²)hIsolate h:                                 2.76772 m = hRewrite:                                   h = 2.76772 mRound:                                     h ≈ 2.8 m

Write the slope-intercept form of the equation of the line described.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

                                           6)

Given the line

[tex]y=-\frac{1}{3}x+3[/tex]

We know that the slope-intercept form of the line equation is

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

where m is the line and b is the y-intercept

Thus, the slope of line = -1/3

We know that parallel lines have the same slope.

Hence, the slope of the parallel line is also m=-1/3

So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept

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

[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]

Switch sides

[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]

[tex]-1+b=1[/tex]

[tex]b=2[/tex]

Thus, the equation line in slope-intercept form

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

[tex]y=-\frac{1}{3}x+2[/tex]

                                             8)

Given the line

[tex]y=\frac{1}{4}x+1[/tex]

We know that the slope-intercept form of the line equation is

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

where m is the line and b is the y-intercept

so the slope of line = 1/4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -4

Thus, subtituting m = -4 and (-1, 4) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]

writing the point-slope form in the slope-intercept form

[tex]y-4=-4\left(x+1\right)[/tex]

add 4 to both sides

[tex]y-4+4=-4\left(x+1\right)+4[/tex]

[tex]y=-4x[/tex]                                

A homeowner is making plans to landscape her yard. She plans to hire professionals to install grass sod in some parts of the yard and flower beds in other parts. Grass sod installation costs $2 per square foot and flower bed installation costs $12 per square foot. Her budget for the project is $3,000. Write an equation that represents the square feet of grass sod, x, and the square feet of flower beds, y, that she could afford if she used her entire budget.

Answers

Answer: 2x+12y<3000

Step-by-step explanation:

x intercept: (1,500,0)

y intercept: (0,250)

The linear equation that represents the total cost will be 2x + 12y = 3000.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

A mortgage holder is making arrangements to scene her yard. She intends to recruit experts to introduce grass turf in certain pieces of the yard and blossom beds in different parts. Grass turf establishment costs $2 per square foot and blossom bed establishment costs $12 per square foot. Her spending plan for the venture is $3,000.

Let 'x' be the square feet of grass sod and 'y' be the square feet of flower beds. Then the total cost is given as,

2x + 12y = 3000

The linear equation that represents the total cost will be 2x + 12y = 3000.

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A student estimated the temperature of the room to be 24°C. After carefully measuring, he found the actual temperature to be 23.5°C. What is the percent of error?

Answers

Answer:

2.13% (rounded to nearest thousandth)

Step-by-step explanation:

You subtract 24 from 23.5 to get 0.5

Then you divide 0.5 by 23.5 to get 0.02127

Then you multiply that by 100 to get your percent error

Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off

convert to radical form (3) 2/3

Answers

Answer:

The radical form of 3 2/3 is

[tex] \sqrt[3]{3 {}^{2} } [/tex]

Write 81+72 as a proudect using gcf as one of the factors

Answers

Step-by-step explanation:

Since 81 = 9² and 72 = 9 * 8,

81 + 72 = 9(9 + 8) = 9 * 17.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression 81+72 as a product using GCF as one of the factors can be written as,

81+72

= 9(9+8)

Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).

Learn more about Expression:

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whats 6/2 i have the math homework and it says that.

Answers

Answer:

3

Step-by-step explanation:

2times3=6

Tell whether the value is a solution of the inequality. Pls helpp

Answers

Answer: it is most likeply a solution

Step-by-step explanation:

Answer:

No, the answer is a solution to the inequality.

Step-by-step explanation:

When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the inequality.

2x > 5; x = -4

2(-4) > 5

-8 < 5

The answer is false, because there is no solution to -8 < 5. Therefore, the value is not a solution of the inequality.

Please mark me the brainliest!?!

Write 0.369 as a percent.

Answers

0.369% >u< hehehehhehe

Chris and Nick want to split an 8-scoop ice cream sundae. The
sundae costs $15.75. They each earned $6.50 for weeding the
garden for their mom. How much more money do they need to buy
this sundae?

Answers

Answer:

9.25

Step-by-step explanation:

15.75 minus 6.50 then you get 9.25

SOLVE ASAP
A. 18%
B. 5%
C. 12%
D. 17%

Answers

Answer:

D or A cause the answer is 17.2

Step-by-step explanation:

Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5​

Answers

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    [tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]

The determinant

[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]

By using Cramer's Rule

Δ₁ =      [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

 

y = Δ₂/Δ =  30

     

 x - 2y = -7

5x - 9y = -5​

[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]

Evaluate 4 - (3 + 2)2
O A. 5
O B. 1
C. -21
O D. -9

Answers

The answer is -21. The third option

Answer:

-6

Step-by-step explanation:

4−(3+2)2

Add 3 and 2 to get 5.

4−5×2

Multiply 5 and 2 to get 10.

4−10

Subtract 10 from 4 to get −6.

−6

Help I will give brainly

Answers

Answer:

C.

Step-by-step explanation:

A negative number divided by a negative number is a positve number.

Answer:

c and d

Step-by-step explanation:

What is the parent function for f(x) = (x+7)^2?

Answers

Answer:

I think The parent function is the simplest form of the type of function given g(x)=x^2

Step-by-step explanation:

Sole The Problem Below

Answers

Answer:

1

Step-by-step explanation:

you can just use trial and error

I hope that this helps!

complete the table for
f(x) =x^2-2

Answers

Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers

2. Ten is the same as the quotient of n and five increased by six

Answers

10=n/5+6

hope this helps

Answer:

10=n/5+6

Step-by-step explanation:

Evaluate the expression when b= 113

Answers

Need more info sorry hope you get a good grade
you still need some help?

A rescuer is trying to save a cat at the very top of a tree. The height of the tree is 35 feet. A rope is thrown to the top of the tree at a 25° angle from a tether on the ground.

1. Draw a diagram to model the problem.

2. What is the length of the rope needed to meet the tree? Show all work and label the answer. Round to the nearest tenth, if needed.

Answers

[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(25) = \frac{35}{b} [/tex]

[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]

[tex](b) \sin(25) = 35[/tex]

[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]

[tex]b = \frac{35}{ \sin(25) } [/tex]

[tex]b = 82.8[/tex]

the length of the rope needs to be around 82.8

What does g=? Please helppp

Answers

The answer is g = 11 because all triangles always add up to 180. brainliest is appreciated

8-b; when a= 3 and b=5

Answers

8-5=3 so 3 is the answer

The Stock Market nadia is a stockbroker. Earns 14​% commission each week. Last​ week, sold ​7200$ worth of stocks. How much did make last week in​ commission? If averages that same amount each​ week, how much did make in commission in​ 2011?

Answers

Answer:

Step-by-step explanation:

C=0.14×7,200=1008

Nadia made a total of $1008 last week in commission sales

b). To express the total amount she made in 2011, we derive the formula below;

Total amount (2011)=Average weekly commission× number of weeks in 2011

where;

Average weekly commission=$1008

number of weeks in 2011=52

replacing;

Total amount (2011)=(1008×52)=52,416

The total amount Nadia in commission in 2011=$52,416


A couple of travelers are buying souvenirs at the gift shop in Istanbul, Turkey. Jake buys a
keychain for $7.65 and 5 pounds of Turkish delights. Tina buys postcards for $2.45 and 4
pounds of Turkish delights for her mom. Use the variable p to represent the price, in dollars,
per pound of cherries. Write and simplify an expression to represent how much more Jackson
spent.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:

money spent by Jake = 7.65 + 5p

The money spent by Tina who bought 4 pounds of Turkish delight is:

Money spent by Tina = 2.45 + 4p

The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p

Solve
.
.
.
6/14=7/x-3

Answers

Answer:   x

=

19

1

3

Step-by-step explanation:

6

14

=

7

x

3

Rewrite the equation as

7

x

3

=

6

14

.

7

x

3

=

6

14

Cancel the common factor of

6

and

14

.

Tap for more steps...

7

x

3

=

3

7

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

7

7

=

(

x

3

)

3

Solve the equation for

x

.

Tap for more steps...

x

=

58

3

The result can be shown in multiple forms.

Exact Form:

x

=

58

3

Decimal Form:

x

=

19.

¯

3

Mixed Number Form:

x

=

19

1

3

Mario tried to solve an equation step by step 4/3=q+1/3
4/3-1/3=q+1/3-1/3 step one
2/3=q step two
where did he make the mistake or is this correct

Answers

Answer:

Step 2

Step-by-step explanation:

Answer: step two

Step-by-step explanation:

At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner

Answers

.19 seconds

This is because 12.38-12.19= .19

I need help on this

Answers

Answer:

the last one talking about victoria has y dollars

Step-by-step explanation:

x times 12 is equal to y, so the equation is y = 12x

Wait I’m so sorry for wasting this answer thingy but I don’t understand your question you are suggesting here.... but the least I can say is that have a great day and think positive thoughts! Farewell:)

Help Plz
Linear equations

Answers

Answer:

- So were x is 0 that is your y-intercept.

y-intercept: 5

- For your slope it is alway Rise over Run and if your slope is negative you might go down instead of up. So for this table your slope is a zero slope because it is going directly across the graph horizontally. Think of it as a stick figure, with a positive slope they walk up the line with a negative they walk down and zero they walk strait on flat ground. so therefore there is no slope.

You always have your y-intercept in you equation

y=mx+b   mx is slope and b is your y-intercept

since your line is not negative or positive and is horizontal a zero slope meaning there is like no slant or angle to your line your equation will look like this.

y=5

because there is no mx (slope) and only a y-intercept

slope: 0

y-intercept: 5

Equation: y=5

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