The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quart

The correct illustration is provided.

Explanation:

Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.

Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.

Measure the distance from C to B and from B to D. Both distances will be equal.

Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.

With a compass and straightedge:

First, create segment CD and ensure the endpoints are labeled.

Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.

Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.

Connect E to CD with a straightedge and label the intersection as B.

Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.

Thus, AB will equal both CB and BD.

Answer:

2.5 hours

Step-by-step explanation:

150 divided by 60

150 divided by 60 gives the time

Answer:

The variable x lies within the interval of all positive real numbers less than 5 cm.

Detailed solution:

Problem statement:

Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.

Refer to the provided diagram for clarity.

Define:

x → length in centimeters of each square cutout side

The volume of the box with open top can be written as:

Given this, we have:

By substitution:

Determine the domain of x:

Because:

Therefore:

Domain is the interval (0,5)

That means all real numbers strictly greater than zero and less than 5 cm are valid for x.

Hence, the volume V as a function of x is:

<span>The flag's dimensions are 40 inches by 55 inches.

Reasoning<span>:
The perimeter equals the sum of all sides. Being rectangular, opposite sides have equal lengths. Thus, the equation is
y + 11/8 y + y + 11/8 y = 190.

Simplifying, we get
2y + 22/8 y = 190.

Expressing 22/8 as a mixed fraction results in
2y + 2 3/4 y = 190.

Combining terms: 4 3/4 y = 190.

Divide both sides by 4 3/4:
y = 190 ÷ 4 3/4.

Converting 4 3/4 to an improper fraction: y = 190 ÷ 19/4.

Dividing by a fraction means multiplying by its reciprocal:
y = 190 × 4/19 = 760/19 = 40.

Since y = 40, calculate 11/8 y = 11/8 × 40 = 440/8 = 55.</span></span>

Answer:

D

Step-by-step explanation:

You should insert the provided x and y coordinates into the equations to determine which one satisfies both points.

D is valid for both:

5 = 5/4(4)

0 = 5/4(0)