Answer: Around 1.33 Cups per batch
Step-by-step explanation:
4 / 3 ≈ 1.33
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
C. 52 cm , unknown sides are 3 and 7
Answer:
222.75%
Step-by-step explanation:
Elasticity of demand for marijuana
(dQ/Q)/(dP/P) = -2.75
If the price drops 81%, that is dP/P=-0.81
If we re-arrange the equation
dQ/Q= -2.75 * dP/P = -2.75*(-0.81) = 2.2275
The demand will be 222.75% higher if the prices drop by 81%
Because domain restrictions apply to this rational expression, x cannot be equal to {-2, 2}.
<h3>What is domain?</h3>
Domain restrictions are any points in the domain where the function will not have a value. This basically means that there is a point in the function where x will not work.
For the numerator, any value of x will suffice. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.
However, the denominator cannot be equal to zero. This is due to the fact that a fraction bar represents division, and we cannot divide by zero.
Here,
x²-4=0
Add 4 to both sides:
x²-4+4 = 0+4
x² = 4
Take the square root of both sides:
√x² = √4
x = 2 or x = -2
The x cannot be equal to {-2, 2} as domain restrictions apply to this rational expression.
To know more about domain,
brainly.com/question/10238709
#SPJ4
