80% × $295 = 80/100 × $295 = $236
Dante will put $236 into his savings account.
Answer:
10 inches
Step-by-step explanation:
The formula for the triangle area is the following:
A = b * h / 2
Where b is the length of the base side and h is the height.
So, as the height is 4 less than the base, we have that:
h = b - 4
Using this value in the area equation, we have that:
A = b * (b - 4) / 2
30 = (b^2 - 4b) / 2
b^2 - 4b = 60
b^2 - 4b - 60 = 0
Using Bhaskara's formula to solve the quadratic equation, we have:
Delta = 4^2 + 4*60 = 256
sqrt(Delta) = 16
b1 = (4 + 16)/2 = 10
b2 = (4 - 16)/2 = -6 (negative value does not fit for this problem)
So the length of the base is 10 inches.
<span>3sinx+4cosx=5
=> 3/5 sinx +4/5 cosx = 1
let cosA=3/5 => sinA=4/5
=> cosAsinx + sinAcosx = 1
=> sin(x+A) = 1
Now,
4sinx - 3cosx
= 5(4/5sinx - 3/5 cosx) [multipying numerator and denominator by 5]
= 5(sinAsinx - cosAcosx)
= -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0 Ans 0
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
this method is useful in many questions </span>
Well, I have an example that might help:
Rico's MP3 player holds songs of three different genres: grindcore, zydeco, and kuduro. There are <span>55</span> times as many grindcore tracks as there are zydeco tracks, and there are <span>77</span> times as many kuduro tracks as there are zydeco tracks. Let <span>xx</span> represent the number of zydeco tracks. Write an expression for the total number of tracks on the MP3 player, and simplify it.
Multiply the number of zydeco tracks by <span>55</span> to get the number of grindcore tracks.
<span><span>5x</span><span>5x</span></span>
Multiply the number of zydeco tracks by <span>77</span> to get the number of kuduro tracks.
<span><span>7x</span><span>7x</span></span>
Add up the numbers of all the tracks.
<span><span>x+5x+7x</span><span>x+5x+7x</span></span>
Simplify using the distributive property.
<span><span><span>=(1+5+7)x</span><span>=13x</span></span><span><span>=(1+5+7)x</span><span>=13x</span></span></span>
So, Rico's MP3 player holds <span><span>13x</span><span>13x</span></span> tracks.
I hope I helped you!
Step-by-step explanation:
y=mx+c
2=(-4)(1)+c
2=-4+c
c=2+4
c=6
therefore the answer is...
y=-4x+6
