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Arlecino [84]
2 years ago
8

The angles shown below are supplementary:

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0

Answer:

12

Step-by-step explanation:

supplementary angle=180°

180-60=120°

120°/10=12°

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A ball bearing has mass 0.44 pounds. 1 kg = 2.2 pounds. <br>​
torisob [31]

Answer:

  (i) 0.2 kg

  (ii) kg/cm³

  (b) 2.29 kg

Step-by-step explanation:

This problem gives you relations between units, and the formulas for density and mass. It is asking you to make use of these relations in various mass and density calculations.

<h3>(a)(i)</h3>

The relationship between kg and pounds can be used to write a units conversion multiplier. It will have numerator equal to denominator, but will have units such that multiplying by it will give the units you want.

  0.44 pounds × multiplier = __ kg

  0.44 pounds × (1 kg)/(2.2 pounds) = (0.44/2.2)(1 kg)

  0.44 pounds = 0.2 kg

__

<h3>(a)(ii)</h3>

The formula can be used to find the units of interest:

  Density = mass/volume

  units of density = (units of mass)/(units of volume)

  units of density = kg/cm³

__

<h3>(b)</h3>

Using the given formula with the given value of L, we find the volume to be ...

  V = 4(1.40 cm)(3 -1.40 cm)² = 14.336 cm³

Then the mass is ...

  mass = volume × density

  mass = (14.336 cm³)×(0.160 kg)/(1 cm³) = 2.29376 kg

The mass is about 2.29 kg.

_____

<em>Additional comment</em>

Often you will see density in terms of kg/m³ or g/cm³. Water has a density of about 1 g/cm³ or 1000 kg/m³. The most dense non-radioactive element in the periodic table is osmium, with a density of about 22.6 g/cm³, or 0.0226 kg/cm³. The material in part (b) of this problem has a density about 7 times that, so is clearly not from Earth.

7 0
2 years ago
A study of 2500 randomly selected students of a major university showed that 300 students tried to turn in work late to at least
dsp73

Answer:

C

Step-by-step explanation:

4 0
3 years ago
What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po
kolbaska11 [484]
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
7 0
3 years ago
A room measures 12 feet by 16 feet long. what is the square footage of this room
Leno4ka [110]
12 x 16 = 192. So, the room is 192 square feet.
7 0
3 years ago
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(02.04 MC)
borishaifa [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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