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MAXImum [283]
4 years ago
10

The radius of a spherical glass ornament is 6 centimeters. Twenty-seven ornaments are packed in a cube shaped box with a side le

ngth of 36 centimeters. What is the volume of the empty space in the box, rounded to the near whole number?
Mathematics
1 answer:
Alex Ar [27]4 years ago
4 0

Answer:

45.413 cm³

Step-by-step explanation:

Because the volume of a orament is 57 cm³ . The volume of twenty-seven oraments is 1242 cm³ . The volume of a cube is 46656 cm³

⇒The empty space is :

         46656-1242=45414 ( cm³)

                  So the empty space is 45414 cm³  

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Urgent !!!!!!!!!!!!!!! 10 points
Mademuasel [1]

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

6 0
3 years ago
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What is the slope of the line that passes through the points (-2,8) and (-22,8)
Vanyuwa [196]

Answer: m = 0

Step-by-step explanation:

6 0
3 years ago
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What is the value of x? edgenuity
Margaret [11]

Answer:

45

Step-by-step explanation:

x + 3x = 180

Combine like terms : 4x = 180

180/4 = 45

4 0
3 years ago
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Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.
Daniel [21]
Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6
4 0
3 years ago
Please help!!!
Leto [7]

Answer:

 - The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse} and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

 You can observe in the figure attached that  "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°,  the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

 This is:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case:

\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse} , and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}

AC=\frac{y}{cos(x\°)}

3 0
4 years ago
Read 2 more answers
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