Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13
The equation to represent the number of people that can attend the event will be 18500 +/- 1200.
<h3>How to calculate the value?</h3>
Based on the information, equation to represent the number of people that can attend the event will be 18500 +/- 1200.
The maximum number will be:
= 18500 + 1200
= 19700
The minimum number will be:
= 18500 - 1200
= 17300
Learn more about equations on:
brainly.com/question/13763238
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PART A)
The rate of change is -40 songs each week, because the amount of songs left to be downloaded decrease by 40 every week.
<span>the initial value is 200 at 0
weeks, which means that there are 200 songs to be downloaded at the
beginning</span>
PART B)
<span><span><span>
<span><span>calculate the slope:
</span><span>
m = (y2- y1)/(x2 - x1) = (160 - 200)/(1 - 0)
m = -40
now use the line equation in form of point-slope
y - y1 = m(x - x1)
y - 200 = -40(x - 0)
y = -40x + 200</span></span>
</span></span></span>
<span>
<span>
</span></span>
Answer:
0.0024
Step-by-step explanation:
1 killogram=1000000
Answer:
Four (4) pounds
Step-by-step explanation:
Because we required two (2) pounds to stretch the spring eight (8) inches, we need double the force to stretch it sixteen (16) inches. Sixteen is just double the original amount, meaning we need four (4) pounds to stretch the spring sixteen inches.
Hope this helps!