Answer:
2e+15
Step-by-step explanation:
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
Let width of rectangle be x cm
Twice width=2x cm
length=2x-5 cm
Area of the rectangle= L× W =42cm²
(2x-5) × x =42
x(2x-5)=42
2x²-5x-42=0
solving the quadratic equation
x=6cm
width=6cm
length= (2×6)- 5 =7cm
Answer:
ln(5/256)
Step-by-step explanation:
Step 1, do the stuff in parenthesis:
1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2
Step 2, remove parenthesis and simplify:
1/5 (5ln5) - 8ln2 = ln5 - 8ln2
Step 3, use this formula-
8*ln2 = ln2^8 = ln256
-to get:
ln5 - 8ln2 = ln5 - ln256
Step 4, use another formula:
ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!
Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer: He bought 2.89 pounds of cameo apples.
Step-by-step explanation:
Since we have given that
Total number of pounds of apples he bought = 4.08
Number of gala apples = 1.19 pounds
So, the rest are cameo apples.
As we know to get the remaining value we always use the subtraction operation,
Now,

So, 2089 pounds of apple are cameo apples.