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uysha [10]
2 years ago
13

The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete

r,find the dimensions of the box.​
Mathematics
1 answer:
Black_prince [1.1K]2 years ago
5 0

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

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PLEASE HELP ASAP!!
natita [175]

We can infer and logically deduce that the arc intersected by these chords are not congruent.

<h3>What is a circle?</h3>

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is generally considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.

<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Let the radii of the two (2) different circles with center O and O' be r₁ and r₂ respectively. Also, two (2) isosceles triangles AOB and COD would be formed and as such we have:

AO = OB = r₁.

CO = O'D = r₂.

By critically observing the diagram (see attachment) of these circles, we can logically deduce that the arc intersected by chord AB is greater than the arc intersected by the chord CD.

This ultimately implies that, the arcs intersected by these chords are not congruent.

Read more on arcs here: brainly.com/question/11126174

#SPJ1

<u>Complete Question:</u>

Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.

Hint: It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.

Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle. Compare the triangles made by two circles with different radii.

3 0
1 year ago
DO NOT ANSWER IF YOU ARENT GOING TO HELP
VARVARA [1.3K]

Answer:

The four small cones combined will hold more ice cream than the big one.

Step-by-step explanation:

6 0
2 years ago
BRAINLIEST IF CORRECT PLEASE DONT ANSWER IF YOU DONT KNOW OR REPORTED 50 POINTS I NEED MY GRADES TO BE BETTER
weqwewe [10]

Answer:

B.166 11/12

Step-by-step explanation:

To handle this problem better, we can separate the fraction and integer portions to look at the whole situation better.

First, let's only look at the integers. Anthony flew up his drone 125 feet (translating to +125), allowed it to drop 14 feet (translating to -14), and then flew it up for 55 feet (translating to +55). Hence, only considering the integers, the total change in the drone's position would be (125 - 14 + 55) feet, which equates to 166 feet.

You'd probably have already noticed this answer is quite close to B. 166 11/12 feet, but let's keep on going for now.

On the fraction part, he flew his drone up 1/2 feet, allowed it to drop 1/3 feet, and then flew it up for 3/4 feet, translating to (1/2 - 1/3 + 3/4) feet.

Hence, after making all fractions share the same denominator, that same equation would change to (6/12 - 4/12 + 9/12) feet, which equals to 11/12 feet.

Finally, the total magnitude of the drone's position would be (166 + 11/12) feet, which is equal to B.166 11/12 feet.

Hope this helped!

6 0
2 years ago
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PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

  • The angle with the center of the circle as its vertice: 60°;
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What is the value of x?

The three interior angles of a triangle add up to 180°. As a result,

60° + 90° + x° = 180°

x = 180 - 90 - 60 = 30.

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After learning the theoretical probability of a two sided coin landing on any one side, students work in groups to flip the coin
Bumek [7]
The answer c, because they got 9 out of 15 flips being heads. This probability is 0.6. The other answers are not accurate.
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