Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?
Answer:
The number of T-shirt that Maya will have after donating 40% is 22 shirts
Explanation:
Given:( as per the above data provided)
Total number of T-shirts = 55
Percentage of T-shirts she wish to donate = 40%
To find:
Remaining number of T-shirt left after donating?
Formula to be used:
Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate
Steps:
Substituting all the above provided values in the formula we get,
= (55/100)*40
= 22 shirts.
Thus the number of T-shirts left with her is 22.
By definition, the sine of an angle is given by:
Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:
So, replacing values we have:
Rewriting we have:
Answer:
the sine value of this function is:
A)5 times square root 61 over 61
Answer:
Step-by-step explanation:
To find the area of a rectangle you have to multiply the length by the width.
In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.
For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.
The length is: x2 + 6x + 3
The width is: 3x2 + 4x - 2
and if you multiply the aligned numbers together, you get
3x2 + 24x - 6. Because:
x2 × 3x2 = 3x2,
6x × 4x = 24x,
and 3 × -2 = -6
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer:
Yes they are rational numbers
Step-by-step explanation:
Rational numbers are Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.
