$10.50 gets taken off the original price. I divided $42 by 4 because 25 is 1/4th of 100. This got me $10.50. The original price ($42) minus $10.50 equals $31.50. So the item sells for $31.50!!!!
Step-by-step explanation:
the answer is:
<em>0</em>
Explaination:
<em>3</em><em>x</em><em>×</em><em>2</em><em>-</em><em>3</em><em>x</em><em>=</em><em>6</em><em>x</em><em>-</em><em>3</em><em>x</em>
<em>=</em><em>3</em><em>x</em><em>+</em><em>2</em><em>=</em><em>2</em>
<em>3</em><em>x</em><em>=</em><em>2</em><em>-</em><em>2</em>
<em>3</em><em>x</em><em>=</em><em>0</em>
<em>X=</em><em>0</em><em>÷</em><em>3</em><em>=</em><em>0</em>
<em>hope </em><em>it </em><em>helps</em>
Answer:
2(d-vt)=-at^2
a=2(d-vt)/t^2
at^2=2(d-vt)
Step-by-step explanation:
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt—1/2at^2 to find a. In the formula, d is
displacement, v is final velocity, a is acceleration, and t is time.
Given the formula for calculating the displacement of a body as shown below;
d=vt - 1/2at^2
Where,
d = displacement
v = final velocity
a = acceleration
t = time
To make acceleration(a), the subject of the formula
Subtract vt from both sides of the equation
d=vt - 1/2at^2
d - vt=vt - vt - 1/2at^2
d - vt= -1/2at^2
2(d - vt) = -at^2
Divide both sides by t^2
2(d - vt) / t^2 = -at^2 / t^2
2(d - vt) / t^2 = -a
a= -2(d - vt) / t^2
a=2(vt - d) / t^2
2(vt-d)=at^2
Answer:
1)7.288 feet
2)11.6 feet
3)safe
4) 3.7 feet
5) ∅
6)∅1
∅2
Step-by-step explanation:
1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.
Applying trigonometry,
tan(39) =
= 0.809
Thus, s= 
2) Applying pythagoras theorm,

Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet
3) The length of ladder is 14 foot and height from ground is 13.5 feet.
Applying trigonometry,
sin(∅) =
= 0.964
∅ = angle of elevation =
= 74.57 ≈ 75 degrees.
Thus tractor can climb safely.
4)Applying, pythgoras theorm,

x = 
Thus, ladder should be placed at distance 3.7 feet
5)Let angle of elevation be ∅.
tan(∅) = 
∅
6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.
Thus,
tan(∅1) = 
∅1
tan(∅2) = 
∅2
Answer:
Value of expression in single logarithm is
.
Step-by-step explanation:
Given expression is,

Now using logarithmic rule to solve the expression as follows,
Applying product rule of logarithmic,

Therefore,

Applying power rule of logarithmic,

Therefore,


Applying quotient rule of logarithmic,

Therefore,

Simplifying,



Therefore value of expression is 