Is the graph proportional or non-proportional, and if so, why?

mary wants to fill in a cylinder vase. the flower store told her to fill the vase 4/5 of the way for the flowers to last the lon

Goshia [24]

Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,

Volume = πR²×H = π× 4²×6 = 301.6 in³

Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,

Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches

Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.

Learn more about Volume:

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4 0

2 years ago

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular

Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = $\frac{360}{8}$

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

$sin 22.5=\frac{AC}{OA}$

$=\frac{AC}{x}$

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, $cos 22.5=\frac{OC}{OA}$

$=\frac{OC}{x}$

So, OC = x cos 22.5°.

Area of Δ AOB = $\frac{1}{2}(AB)(OC)$

= $\frac{1}{2}$ × (2x sin 22.5°) × (x cos 22.5°)

= $\frac{1}{2} x^{2}$ (2 sin 22.5° cos 22.5°)

= $\frac{1}{2} x^{2}$ sin 45°

= $x^{2}$ / $2\sqrt{2}$

Area of the octagonal gazebo = 8 × one triangular area

= 8 × ( $x^{2}$ / $2\sqrt{2}$ )

$=2\sqrt{2} x^{2}$

$=2.828x^{2}$

Area required for mulch = circular area - area of the gazebo

$=3.14x^{2} -2.828x^{2}$

$=0.312x^{2}$

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = $0.312x^{2}$ × 1.5

$=0.468x^{2}$

Hence, total cost g(m) = $0.468x^{2}$ .

4 0

3 years ago

Bar chart question.. please help

vodomira [7]

D is the correct answer

3 0

3 years ago

What is 5 11/10 simplified

lbvjy [14]

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

3 0

3 years ago

A homeroom was interested in surveying their students to find out opinions about the schools media center. To facilitate data co

otez555 [7]

Answer: nonresponse bias

Step-by-step explanation:

According to the information obtained, we can say that it is a non-response bias, since the sample obtained to extrapolate the result was not homogeneous, so these biases arise when the type of response to the non-response is affected in a social experiment. meet a standard among the population muesta¡ra.

Cognitive biases are found in ideas that make us partial. These thoughts, along with certain external circumstances, create what are known as response biases.

8 0

3 years ago