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Alekssandra [29.7K]
3 years ago
13

PLZZ HELPPP!!! Each edge of a wooden cube is 6 centimeters long. The cube has a density of 0.71 g/cm3

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

153.36 grams

Step-by-step explanation:

Density is mass divided by volume: d = m/v.

Here, we already know that d = 0.71 g/cm³.

We can find the volume of hte cube. The volume of a cube is denoted by:

V = s³, where s is the side length

The cube's length is 6, so plug this in:

V = s³

V = 6³ = 216 cm³

Plug these values in:

d = m/v

0.71 g/cm³ = m / 216 cm³

m = 0.71 * 216 = 153.36 grams

The answer is 153.36 grams.

Lana71 [14]3 years ago
4 0

Answer:

153.36g

Step-by-step explanation:

Density is defined as the ratio of mass per unit volume of a material.

Density = Mass/Volume

Given the edge of a cube which is equivalent to its length L to be 6cm.

Density of the cube = 0.71g/cm³

Volume of the cube = L³

Volume = 6³

Volume of the cube = 216cm³

Mass = Density × Volume

Mass of the cube = 0.71×216

Mass of the cube = 153.36grams

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Nataly [62]
Answer
20% for the first one
3 0
3 years ago
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How does the measure of the pink inscribed angle compare with the measure of the blue intercepted arc? How do you know?
Goryan [66]

Answer:

The pink angle is half the angle subtended by the blue arc.

Step-by-step explanation:

Given

See attachment for circle

Required

Compare the pink angle to the blue arc

Let the pink angle be x and the angle subtended by the blue arc be y.

So, we have:

x \to angle at circumference

y \to angle subtended by arc

The relationship between x and y is:

y =2x

Make x the subject

x = \frac{1}{2}y

7 0
2 years ago
An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?
slega [8]
First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5 

Using general term formula,

t_{n} = a + (n-1)d

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.
4 0
3 years ago
Find the direction angle of 3i+1j.<br><br> Please help me. Thank you
Alekssandra [29.7K]

Answer:

Correct answer:  ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

4 0
3 years ago
What is m∠A ? Enter your answer in the box. ° Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 deg
Allisa [31]

Answer: The measure of angle A is 60 degree.

Explanation:

It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

\angle ECD+\angle CDE+\angle DEC=180^{\circ}

43^{\circ}+35^{\circ}+\angle DEC=180^{\circ}

78^{\circ}+\angle DEC=180^{\circ}

\angle DEC=180^{\circ}-78^{\circ}

\angle DEC=102^{\circ}

According to opposite vertical angle property.

\angle AEB=\angle DEC

\angle AEB=102^{\circ}

Use angle sum property is triangle ABE.

\angle ABE+\angle BEA+\angle EAB=180^{\circ}

\angle ABE+102^{\circ}+18^{\circ}=180^{\circ}

\angle ABE+120^{\circ}=180^{\circ}

\angle ABE=60^{\circ}

Therefore, the measure of angle A is 60 degree.

5 0
3 years ago
Read 2 more answers
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