A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

Inserting the known values into the equation gives us

⇒  

By carrying out cross-multiplication, we arrive at

⇒  

⇒  

By subtracting "18x" from both sides, we obtain

⇒  

⇒  

Upon adding "2" to both sides, we end up with

⇒  

⇒  

⇒  

⇒  

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°

Response:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to the attached bar graph.

The bar graph illustrates the count of reserved campsites at a campground across a week.

Consequently, the total number of reserved campsites on Friday and Saturday will amount to (26 + 30) = 56.

Now, calculating the total reservations from Monday to Sunday gives us (5 + 3 + 4 + 7 + 26 + 30 + 9) = 84.

Therefore, the percentage of bookings for Friday and Saturday will be

. (Answer)

The flea experiences an acceleration of 1,000 m/s².

Detailed explanation

This scenario involves motion with constant acceleration.

The relevant variables include the following.

We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.

The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.

The equation we apply is:

• a = acceleration (m/s²)
• u = initial speed = 0 m/s
• v = takeoff velocity = 1.0 m/s
• d = displacement = 0.50 mm

First, convert 0.50 mm to meters:

Solution steps:

Rearrange the formula to isolate acceleration (a).

Insert the given values into the rearranged equation.

This yields the flea's acceleration as 1,000 m/s².

Additional resources

1. Scientific notation: brainly.com/question/7263463
2. Determining substance mass: brainly.com/question/4053884
3. Conversion into cubic units: brainly.com/question/1446243

Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion