At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a
point 300 meters away from the launch pad for the balloon. The angle of elevation to
the top of the balloon at this time is 25°. At 10:02am, the person observes that the
angle of elevation to the balloon is now 60°. What is the change in altitude, to the
nearest meter, for the balloon over the 2 minutes between the first and second
observations?

Answers

Answer 1

Answer:

We are given two observations Lets use geometric properties to solve300 meters is the hyp or c Theta is 25 degree Theta changes to 60 degree Hence tan(25)= x1/300x1=139.8Now let's find the second height tan(60) =x2/300x2=519.6 ft Now x2-x1 So the difference is 379.8 ft

Related Questions

Casey's drill team squad was responsible for painting props for a performance at a band contest. The squad painted 18 props in 90 minutes. If they continued painting at this rate, how many props would they paint in 3 hours?

Answers

Answer: They would paint 36 props in 3 hours.

Step-by-step explanation:

Given: The squad painted 18 props in 90 minutes.

Time taken to paint each prop = [tex]\dfrac{90\text{ minutes}}{18}[/tex]

= 5 minutes

Now, 1 hour = 60 minutes

3 hours = 3 x 60 minute = 180 minutes

Total props painted in 3 hours = (180 )÷5

= 36

Hence, with same rate , they would paint 36 props in 3 hours.

Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.

Answers

Answer:

I have the same question

Step-by-step explanation:

message me if anyone helps I need it too


solve the equation by completing the square.

4x(x + 6) = -40​

Answers

Answer:

x = -6+-odmocnina36-40/2

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

10 times -4 is -40 since if you multiply a negative number by a positive you get a negative

Express this number in scientific notation.
31 billion

Answers

31 x 10 raised to power of 10

Hope this helps

Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

2(2x + 3)=4x + 3x - 9

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

2(2x + 3)=4x + 3x - 9

4x+6=4x+3x+−9

4x+6=(4x+3x)+(−9)

4x+6=7x+−9

4x+6=7x−9

4x+6−7x=7x−9−7x

−3x+6=−9

−3x+6−6=−9−6

−3x=−15

-3x/-3=-15/-3

x=5

3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?​

Answers

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

C.11

Step-by-step explanation:

By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.

Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Answers

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

PLZ: show work, solve for x:

Answers

x+11/-2=-8

x+11/-2 x -2= -8 x -2

x+11= 16

X+11-11=16-11

x = 5

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

whats 183.47 to the nearest 10th

Answers

Answer:

183.5

Step-by-step explanation:

To round 183.47 to the nearest tenth consider the hundredths’ value of 183.47, which is 7 and equal or more than 5. Therefore, the tenths value of 183.47 increases by 1 to 5.

183.47 rounded to the nearest tenth = 183.5

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Answers

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

Evaluate
2-8÷-2-3-12÷-6×-2

Answers

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

FIRST ANSWER GETS BRAINLIEST!!!

Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?

Answers

Answer:

Number of regular packs sent = 13

Step-by-step explanation:

Let,

x be the number of regular packs shipped

y be the number of super packs shipped

According to given statement;

x+y=32     Eqn 1

4x+6y=166    Eqn 2

Multiplying Eqn 1 by 4

4(x+y=32)

4x+4y=128     Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=166-128

4x+6y-4x-4y=38

2y=38

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]

Putting y=19 in Eqn 1

x+19=32

x=32-19

x= 13

Hence,

Number of regular packs sent = 13

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.

To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

9%
15%
21%
57%

Answers

Answer:

15%

Step-by-step explanation:

Rick is planting a garden in the shape of a semi-circle. He wants to pour top soil over the garden. Approximately how many square feet does he need to cover in soil?

Answers

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

I need help!!

Simplify this complex fraction

Answers

I think it is A :)))

PLEASE ANSWER QUICKLY!

Answers

Answer:

D

Step-by-step explanation:

Answer

24481232

Step-by-step explanation: all you gtta do is do this do your work

Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x

ASAP PLEASEEEEEEE

Answers

Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

help pls!! i will give you brainliest

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?

Answers

And that’s the answer you need to stop being mean to me

A group of friends were working on a student film. They spent $256 on equipment, which was 32% of their total budget. What was the total budget for their student film?

Answers

the total budget for their student film is $337.92

Answer:

800

Step-by-step explanation:

I got it correct on delta math.

Help please i’m terrible at maths !!

Answers

Exactly 9/40 or about 1/5

URGENT! Can someone please help me?​

Answers

Answer:

An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Step-by-step explanation:

A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre (5,7) so, we have h = 5 and k = 7

We have radius = 2 so, r = 2

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]

So,  an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

is -5(x-8)+2 equivalent to -5x-38

Answers

Answer:

Step-by-step explanation:

Yes!

The pic is the question! Please help

Answers

Answer:

93

Step-by-step explanation:

150×62%

150×62/100

15×62/10

=930/10

=93

Answer:

93 is your correct answer

Step-by-step explanation:

0.110 is _____ than 0.450?

A. less
B. greater
C. equal
D. greatest​

Answers

Less than. big truss, you gotta know that stuff bro
Of course it’s less than bro

The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the values of x and y?

Answers

Picture relating to question has been attached below

Answer:

x = 10 ; y = 15

Step-by-step explanation:

The values for which the park is a parallelogram :

For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :

VT = RV and UV = VS

From the diagram :

VT = 3x + 5y

RV = 6x + 3y

UV = 11y + 33 m

VS = 14y - 12 m

VT = RV and UV = VS

3x + 5y = 6x + 3y

3x - 6x = 3y - 5y

-3x = - 2y

3x = 2y

11y + 33 = 14y - 12

11y - 14y = - 12 - 33

-3y = - 45

y = 45/3

y = 15

From ;

3x = 2y

3x = 2*15

3x = 30

x = 30/3

x = 10

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