Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.
Sagot :
Let's analyze and perform the requested conversions step-by-step for each of the throws and the marble grab. We need to convert between various units:
### 1. Converting the Discus Throw
Given [tex]\( \text{Discus Throw} = 25 \text{ cm} \)[/tex]:
a) To millimeters (mm):
[tex]\[ 25 \text{ cm} \times 10 \text{ mm/cm} = 250 \text{ mm} \][/tex]
b) To decimeters (dm):
[tex]\[ 25 \text{ cm} \div 10 = 2.5 \text{ dm} \][/tex]
c) To meters (m):
[tex]\[ 25 \text{ cm} \div 100 = 0.25 \text{ m} \][/tex]
d) To decameters (dam):
[tex]\[ 25 \text{ cm} \div 1000 \times 10 = 2.5 \text{ dam} \][/tex]
e) To hectometers (hm):
[tex]\[ 25 \text{ cm} \div 1000 \times 1 = 0.25 \text{ hm} \][/tex]
f) To kilometers (km):
[tex]\[ 25 \text{ cm} \div 1000 \times 0.1 = 0.0025 \text{ km} \][/tex]
### 2. Converting the Javelin Throw
Given [tex]\( \text{Javelin Throw} = 140 \text{ m} \overset{\text{given formula}}{=} 14000 \text{ cm} \)[/tex]:
a) To decimeters (dm):
[tex]\[ 14000 \text{ cm} \div 10 = 1400 \text{ dm} \][/tex]
b) To meters (m):
[tex]\[ 14000 \text{ cm} \div 100 = 140 \text{ m} \][/tex]
c) To decameters (dam):
[tex]\[ 14000 \text{ cm} \div 1000 \times 10 = 1400 \text{ dam} \][/tex]
d) To hectometers (hm):
[tex]\[ 14000 \text{ cm} \div 1000 \times 1 = 140 \text{ hm} \][/tex]
e) To kilometers (km):
[tex]\[ 14000 \text{ cm} \div 1000 \times 0.1 = 1.4 \text{ km} \][/tex]
### 3. Converting the Shot Put
Given [tex]\( \text{Shot Put} = 54 \text{ m} \overset{\text{given}}{=} 5400 \text{ cm} \)[/tex]:
a) To millimeters (mm):
[tex]\[ 5400 \text{ cm} \times 10 = 54000 \text{ mm} \][/tex]
b) To decimeters (dm):
[tex]\[ 5400 \text{ cm} \div 10 = 540 \text{ dm} \][/tex]
c) To meters (m):
[tex]\[ 5400 \text{ cm} \div 100 = 54 \text{ m} \][/tex]
d) To decameters (dam):
[tex]\[ 5400 \text{ cm} \div 1000 \times 10 = 540 \text{ dam} \][/tex]
e) To hectometers (hm):
[tex]\[ 5400 \text{ cm} \div 1000 \times 1 = 54 \text{ hm} \][/tex]
f) To kilometers (km):
[tex]\[ 5400 \text{ cm} \div 1000 \times 0.1 = 0.54 \text{ km} \][/tex]
### 4. Converting the Marble Grab
Given [tex]\( \text{Marble Grab} = 5400 \text{ µg} \)[/tex]:
a) To nanograms (ng):
[tex]\[ 5400 \text{ µg} \times 1000 = 5400000 \text{ ng} \][/tex]
b) To picograms (pg):
[tex]\[ 5400000 \text{ ng} \times 1000 = 5400000000 \text{ pg} \][/tex]
c) To femtograms (fg):
[tex]\[ 5400000000 \text{ pg} \times 1000 = 5400000000000 \text{ fg} \][/tex]
By conducting all these calculations in detail, we arrive at the converted measurements for each throw and the marble grab. This thorough method ensures we properly convert between different metric units, maintaining the precision required.
### 1. Converting the Discus Throw
Given [tex]\( \text{Discus Throw} = 25 \text{ cm} \)[/tex]:
a) To millimeters (mm):
[tex]\[ 25 \text{ cm} \times 10 \text{ mm/cm} = 250 \text{ mm} \][/tex]
b) To decimeters (dm):
[tex]\[ 25 \text{ cm} \div 10 = 2.5 \text{ dm} \][/tex]
c) To meters (m):
[tex]\[ 25 \text{ cm} \div 100 = 0.25 \text{ m} \][/tex]
d) To decameters (dam):
[tex]\[ 25 \text{ cm} \div 1000 \times 10 = 2.5 \text{ dam} \][/tex]
e) To hectometers (hm):
[tex]\[ 25 \text{ cm} \div 1000 \times 1 = 0.25 \text{ hm} \][/tex]
f) To kilometers (km):
[tex]\[ 25 \text{ cm} \div 1000 \times 0.1 = 0.0025 \text{ km} \][/tex]
### 2. Converting the Javelin Throw
Given [tex]\( \text{Javelin Throw} = 140 \text{ m} \overset{\text{given formula}}{=} 14000 \text{ cm} \)[/tex]:
a) To decimeters (dm):
[tex]\[ 14000 \text{ cm} \div 10 = 1400 \text{ dm} \][/tex]
b) To meters (m):
[tex]\[ 14000 \text{ cm} \div 100 = 140 \text{ m} \][/tex]
c) To decameters (dam):
[tex]\[ 14000 \text{ cm} \div 1000 \times 10 = 1400 \text{ dam} \][/tex]
d) To hectometers (hm):
[tex]\[ 14000 \text{ cm} \div 1000 \times 1 = 140 \text{ hm} \][/tex]
e) To kilometers (km):
[tex]\[ 14000 \text{ cm} \div 1000 \times 0.1 = 1.4 \text{ km} \][/tex]
### 3. Converting the Shot Put
Given [tex]\( \text{Shot Put} = 54 \text{ m} \overset{\text{given}}{=} 5400 \text{ cm} \)[/tex]:
a) To millimeters (mm):
[tex]\[ 5400 \text{ cm} \times 10 = 54000 \text{ mm} \][/tex]
b) To decimeters (dm):
[tex]\[ 5400 \text{ cm} \div 10 = 540 \text{ dm} \][/tex]
c) To meters (m):
[tex]\[ 5400 \text{ cm} \div 100 = 54 \text{ m} \][/tex]
d) To decameters (dam):
[tex]\[ 5400 \text{ cm} \div 1000 \times 10 = 540 \text{ dam} \][/tex]
e) To hectometers (hm):
[tex]\[ 5400 \text{ cm} \div 1000 \times 1 = 54 \text{ hm} \][/tex]
f) To kilometers (km):
[tex]\[ 5400 \text{ cm} \div 1000 \times 0.1 = 0.54 \text{ km} \][/tex]
### 4. Converting the Marble Grab
Given [tex]\( \text{Marble Grab} = 5400 \text{ µg} \)[/tex]:
a) To nanograms (ng):
[tex]\[ 5400 \text{ µg} \times 1000 = 5400000 \text{ ng} \][/tex]
b) To picograms (pg):
[tex]\[ 5400000 \text{ ng} \times 1000 = 5400000000 \text{ pg} \][/tex]
c) To femtograms (fg):
[tex]\[ 5400000000 \text{ pg} \times 1000 = 5400000000000 \text{ fg} \][/tex]
By conducting all these calculations in detail, we arrive at the converted measurements for each throw and the marble grab. This thorough method ensures we properly convert between different metric units, maintaining the precision required.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.
