Answer:
Sadie's error is " she made error in step 2 
where 
"
Because she made error in splitting the powers to simplify the square root
<h3>Therefore the correct answer for Sadie's expression is
where </h3>
Step-by-step explanation:
Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "
It can be written as 
where
The given expression is where
To find Sadie's error and explain the correct answer :
Sadie's steps are
where
<h3>
where
</h3><h3><u>Now corrected steps are</u></h3>
where 
(by using the identity 
(by using the identity 
)
Therefore 
where
<h3>The correct answer is
where </h3>
Sadie's error is " she made error in step 2 " where
Because she made error in splitting the powers to simplify the square root
<h3>Therefore the correct answer for Sadie's expression is
where </h3>
The mass of the toddler is 12.5 kg.
Step-by-step explanation:
The equation for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
12.5 kg=m
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Keyword : Mass, gravitational potential energy
#LearnwithBrainly
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
(0,346)(2,344.8)
slope = (344.8 - 346) / (2 - 0) = -1.2 / 2 = -0.6
y = mx + b
slope(m) = -0.6
use either of ur points (0,346)...x = 0 and y = 346
now we sub and find b, the y int
346 = -0.6(0) + b
346 = b
so ur equation is : y = -0.6x + 346
after 4 weeks....x = 4
y = -0.6(4) + 346
y = -2.4 + 346
y = 343.6 <=== after 4 weeks it will be 343.6
Answer:
5m/s;
6 seconds
Step-by-step explanation:
Given the following :
Initial position = 30 m below
He climbed at a constant rate, and was 7.5 m below after 4.5 s.
Distance climbed or covered in 4.5 seconds :
(Initial position - current position)
(30 - 7. 5)m = 22.5 meters
Using the relation:
Speed = distance covered / time taken
Therefore,
Shota's speed = 22.5m / 4.5s = 5m/s
Time taken to reach edge of volcano :
Distance left to cover = 7.5m
Speed = 5m/s
Time required to cover remaining distance :
= distance / speed
= (7.5m ÷ 5m/s) = 1.5s
Total time to reach edge :
(4.5 + 1.5)s = 6 seconds
