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Andre45 [30]
3 years ago
6

What is the volume of the composite space figure to the nearest whole number?

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0
Check the picture below.

the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6  and 3*6*5.

so the volume for the composite figure is just the sum of those two products.

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Solve each inequality
forsale [732]

Answer:

  1. x > -2
  2. n ≤ -2 or n ≥ 8

Step-by-step explanation:

<h3>1.</h3>

Add 7x-2 to both sides and collect terms.

  2x +2 -6x +7x -2 > -4 -7x +7x -2

  3x > -6

  x > -2 . . . . . . . divide by 3

__

<h3>2.</h3>

Solve these one at a time, and form the union of the answers.

  1 +7n ≤ 15 . . . .given

  7n ≤ 14 . . . . . . subtract 1

  n ≤ 2 . . . . . . . divide by 7

__

  -2n -2 ≤ -18 . . . given

  -2n ≤ -16 . . . . . add 2

  n ≥ 8 . . . . . . . . divide by -2

The solution is n ≤ -2 or n ≥ 8.

4 0
2 years ago
The standard diameter of a golf ball is 42.67 mm.
liberstina [14]

Answer:

The first one is the second option

The second one is the 2 and 4 options

Step-by-step explanation:

It’s right on ed

3 0
3 years ago
The Buses leave to the Hall every 16 minutes and the central buses leave every 10 minutes.Both leave at 4 p.m.Find the next time
ikadub [295]

Answer:

Both leave at 4 pm . The next time they will leave at 5:20 pm

Step-by-step explanation:

Taking LCM of 16 and 10

16= 2*2*2*2

10= 2*5

LCM= 2*2*2*2*5=  80

1 hour = 60 mins

80/60= 1 hour 20 minutes

Both leave at 4 pm . The next time they will leave at 5:20 pm

4 0
3 years ago
Simplify<br> -d+C-3+7d-8c<br> given d=2<br> C= -4
IRISSAK [1]
After you plug in d and C you will end up with 40 after you solve if you just need the equation it will be -2-4-3+17+32 to simplify further add like terms which will give you -9+49 add those and it’ll be 40
7 0
3 years ago
Read 2 more answers
If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90
Eddi Din [679]

Answer:

90^\circ

Step-by-step explanation:

Given two non zero vectors, \vec a, \vec b.

Let the angle between the two vectors = \theta

Given that:

|\vec a+\vec b|=|\vec a-\vec b|

Let us have a look at the formula for magnitude of addition of two vectors:

|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}

Where \theta is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}

As per the given condition:

\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}

Squaring both sides:

a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ

So, the angle between the two vectors is: 90^\circ

7 0
3 years ago
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