MATHEMATICS HIGH SCHOOL

Adam builds model rockets. Where he lives , his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of adams rocket at its highest point, as measured from sea level?

Answers

Answer 1

Answer:

Answer:

The answer is 338 feet.

Step-by-step explanation:

Adam builds model rockets. Where he lives , his backyard is 12 feet below sea level.

The rocket flies a maximum of 350 feet straight up into the air before releasing its parachute.

So, the altitude of Adams rocket at its highest point, as measured from sea level = $350-12=338$ feet

Answer 2

Answer: 350 _ 12= 338 ft above sea level.

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Express the area A of a rectangle as a function of the length x if the length of the rectangle is twice its width.

A stem-and-leaf plot uses pictures or symbols to represent information.

True
False

Answers

It is false because stem and leaf diagrams show factors not pictures of symbols

False, pictures are used in picture graphs or pictographs

A Greenhouse has the shape of a cylinder and rectangular prism, as show.?In order to air condition the building the owner needs to know the volume of the empty green house.What is the volume, in cubic feet? leave your answer to the nearest hundredths.

Volume Cylinder= _______cubic feet

Volume total= ______cubic feet

Answers

what is the starting volume

A person washing the windows of an office building drops a squeegee from a height of 95 feet. How longdoes it take the squeegee to pass by another window washer working at a height of 20 feet?
The squeegee passes by the other window washer in ____ seconds to the nearest tenth.
seconds. If necessary, round your answer

Answers

Answer:

The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth

Step-by-step explanation:

From the question,

The first person drops a squeegee from a height of 95 feet, to determine how long it takes the squeegee to pass by another person at a height of 20 feet, that is, we are to determine how long it will take the squeegee to travel a height distance of 95 feet - 20 feet

95 feet - 20 feet = 75 feet.

Hence, we are to determine how long it will take the squeegee to travel a height distance of 75 feet.

From one of the equations of motion due to free fall

h = ut + 1/2gt²

Where h is the height

u is the initial velocity

g is the acceleration due to gravity (Take g = 9.8 m/s²)

and t is the time

For the question,

h = 75 feet

u = 0 m/s ( Since the squeegee is dropped from rest)

Therefore

75 = 0(t) + 1/2(9.8)(t²)

75 = 4.9t²

∴ t² = 75/4.9

t² = 15.306

t =√15.306

t = 3.9 secs

Hence,

The squeegee passes by the other window washer in 3.9 seconds to the nearest tenth.

Final answer:

Using the kinematic equations for free fall, we find that it takes approximately 2.2 seconds for the squeegee to pass by the other window washer working at a height of 20 feet.

Explanation:

The question is related to the subject of physics and involves the free fall motion of an object under the influence of gravity. We can use the kinematic equations to solve for the time it takes for the squeegee to pass the window washer working at 20 feet.

The initial height h0 from which the squeegee was dropped is 95 feet, and the height h where the other window washer is located is 20 feet. Therefore, we are interested in the time it will take the squeegee to cover the distance d = h0 - h, which equals 75 feet.

Assuming acceleration due to gravity g is approximately 32.2 feet per second squared (in the downward direction), and initial velocity u is 0 since the squeegee is dropped, we can use the formula $d = ut + (1/2)gt2$ to find the time t.

Plugging in the values, we get:

$d = 0 * t + (1/2) * 32.2 * t2$
$75 = (1/2) * 32.2 * t2$
$75 = 16.1 * t2$
$t2 = 75 / 16.1$
$t2 = 4.6584$
t = sqrt(4.6584)
t ≈ 2.16 seconds

To the nearest tenth, it takes the squeegee approximately 2.2 seconds to pass by the other window washer.

Learn more about Free Fall Physics here:

brainly.com/question/14532814

#SPJ3

Brainliest if correct - What is the circumference of this circle? View image for full question.

Answers

Answer:

308 mm

Step-by-step explanation:

The formula for circumference of a circle is $C=2\pi r$

Where C is the circumference

$\pi$ is $(22)/(7)$ , and

r is the radius (given as 49)

Putting them into the formula, we get:

$C=2\pi r\nC=2((22)/(7))(49)\nC=308$

Thus, circumference = 308 mm

Answer:308

Step-by-step explanation:

C=2(22/7)(49)

C=308

Brandon buys a radio for 43.99 in a state where the sales tax is 7%

Answers

So then this is a simple multiplication problem. First, we need to make the percentage a decimal. To do that, we find out how many parts out of 100 it is. In this case it 7 parts, so we're making it the decimal .07. So the problem becomes 43.99x0.07. We multiply that, and come up with 3.0793. We'll round that to the hundredths place, and come up with 3.08. So on a radio that costs $43.99, you will pay $3.08 tax, bringing the total to $47.07.

43.99
Convert to a decimal. x .07
¯¯¯¯¯¯¯¯
3.0793
Add + 43.99
¯¯¯¯¯¯¯¯¯
47.0693
Round out. $47.07 is your answer

A+√b) (a-√b .)is equal to