Mathematics High School

The balloon rises vertically so that the distance between the balloon and Student A is 90 feet. How

many feet did the balloon rise? Express your answer to the nearest foot.

Answers

Answer 1

Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:

[tex]60^2 + h^2 = 90^2[/tex]

[tex]h = \sqrt{90^2 - 60^2}[/tex]

[tex]h = 67.08[/tex]

The balloon rises 67.08 feet.

More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675

Related Questions

Name two points on the line y = 6x. Does it describe a proportional relationship? Explain.

Answers

Anser: 2,12 and 4, 24. Yes, it is proportional.

Step-by-step explanation:

For every 2x, y will be inceased by 12.

please help!!!!!!!11

Answers

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

then

[tex]\sqrt{180}[/tex]

= [tex]\sqrt{36(5)}[/tex]

= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

with a = 6 and b = 5

a=6
b= 5

these are the answers hope they are correct

Write the decimal equivalent for 9 over 5.

Answers

divide 9 by 5 u will get 1.8 as the answer

Answer:  1.8

Explanation:

9 over 5 = 9/5 = 18/10 = 1.8

You can also use long division as shown below.

Or you can use your calculator to quickly get this value.

8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?​

Answers

Answer:

Sarpong is 11.

Quartey is 39.

Step-by-step explanation:

Let Sarpong's age now = s.

Let Quartey's age now = q.

Now:

q + s = 50

In five years, their ages will be

Sarpong: s + 5

Quartey: q + 5

q + 5 = 4s

We have a system of two equations in two variables.

q + s = 50

q + 5 = 4s

We will use the substitution method.

Solve the second equation for q.

q = 4s - 5

Substitute 4s - 5 for q in the first original equation and solve for s.

4s - 5 + s = 50

5s = 55

s = 11

q + s = 50

q + 11 = 50

q = 39

Answer:

Sarpong is 11.

Quartey is 39.

.For any positive integer n, prove that n^3 - n is divisible by 6. ​

Answers

Answer:

Step-by-step explanation:

is this right? please tell me :) asap!!

Answers

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

If f(x)=2x - 4, then f(-3)=?

Answers

Answer: f(-3) = -10

Step-by-step explanation:

[tex]Substitute \ $x=-3$\\\\$$\begin{aligned}&f(3)=2(-3)-4 \\&f(3)=-6-4 \\&f(3)=-10\end{aligned}$$[/tex]

What is the measure of space inside a suitcase?

Answers

Answer:

Linear inches

Step-by-step explanation:

or really, any linear dimension – simply refer to the sum total of your bag's length, width and depth.

Answer:

These are based on the main compartment inside the suitcase and are measured in liters with an average capacity of 20 liters, whilst most large cases have an average capacity of 100 liters.

Step-by-step explanation:Brainliest

Please Help! Please!

Answers

Answer:

the answer is 1/2 the first one

Step-by-step explanation:

Because a dice has 6 sides, 3 of the numbers are odd so 3/6 and that is equal to 1/2 when simplified.

Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps

Answers

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

What is the perimeter of the square?

Answers

96cm

Step-by-step explanation:

From the question,

Area of rectangle(A) =Area of square(A)

or,32*18=Area of square

or, 576= l^2

or√576=l

or, 24cm

Now, we know,

Perimeter of the square=4l

=4*24cm

=96cm

1)Jamal has 24 inches of yarn. How many feet of yarn does he have?2) Ricardo has 1/2 of a foot of yarn. How many inches does he have?

Answers

Answer:

Jamal has 2.5 feet of yarn

Step-by-step explanation:

These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies

Answers

Do you have a picture of the mathmatic problem?

The circumference of a circle is 27 cm. Find its radius,
in centimeters.

Answers

Answer:

4.295cm

Step-by-step explanation:

Here,

Circumference = 27cm

We know,

C=2πr

or, 27 = 2×22×r

7

or, 44×r = 27

7

27

or, r = 44

7

or, r = 27×7

44

Therefore, r = 4.295cm

Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence

Answers

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.

The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary

The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel

Find out more on angle at: https://brainly.com/question/25770607

simplify the expressions by applying the properties of potentiation...​

Answers

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??

Answers

Answer:

3/1

Step-by-step explanation:

Find the area of this trapezoid Dimensions are in meters​

Answers

Answer:

42 meters squared

Step-by-step explanation:

Lets split the trapezoid into 2 parts (6*5 and 2*6)

6*5+2*6

= 30+12

= 42

Answer:

36

Step-by-step explanation

5+7 = 12

12/2 = 6

6 * 6 = 36

formula = ((a+b)/2) * h

questions attached please help me​

Answers

Answer:

Step-by-step explanation:

Proving the Sum of the Interior Angle Measures of a Triangle Is 180°

Answers

Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

Find the side labeled x.
HELP

Answers

Answer: 89

Step-by-step explanation:

60 + 31 = 91

180 - 91 = 89


If this isn’t correct then sorry :/

Solve the system using substitution
y+8x=10
2y-4x=40
(_,_)

Answers

No lo se bro eso es de secundaria yo voy en primaria xd

Step-by-step explanation:

i used the two methods....I hope this will help you!

A irrational number less than 0

Answers

Answer:

Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.

PLEASE, PLEASE LIKE ME AND FOLLOW ME IF YOU LIKE MY ANSWER PLEASE!!!

(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box

Answers

Answer:

C) 42 square cm

Step-by-step explanation:

each rectangle 2x3 = 6

each square 3x3 =9

4 rectangles 4x6 = 24

2 squares     2x9=18

24+18 = 42

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

Answers

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

pls help! no links

A spy realizes his cover is blown and flees toward his secret
evacuation spot at a speed of 60 mph. Two hours later, a special
agent in a helicopter starts chasing the spy. The special agent travels
the same route at a speed of 90 mph.

What distance does the spy cover in t hours?

Answers

Answer:

60t = y

t; time in hours

60: Speed of the spy fleeing

y: how far he has gone in t hours

Hope this helps!

Please rate and mark brainliest!!

Have a great day!!

help? can you figure this out?

Answers

Answer:

C. Is the answer

Step-by-step explanation:

Hope it helps

HELP PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

y= -1/2x

Step-by-step explanation:

Option B passes through the origin, by -1/2x

Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.

Answers

Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

alex earned $ 20.40 in three hours what is the unit rate in dollars per hour

Answers

Divide total made by total hours:


20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

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