Answer:
The maximum error in the calculated area of rectangle is 5.4 cm².
Step-by-step explanation:
Given : The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measured of at most 0.1 cm in each.
To find : Use differentials to estimate the maximum error in the calculated area of rectangle ?
Solution :
The area of the rectangle is 
The derivative of the area is equal to the partial derivative of area w.r.t. length times the change in length plus the partial derivative of area w.r.t. width times the change in width.
i.e. 
Here, 
Substitute the values,



Therefore, the maximum error in the calculated area of rectangle is 5.4 cm².
Answer:
-1/2
Step-by-step explanation:
It's the exact opposite. aka the negative version of the number.
Answer: The length of the third straw is 29 centimeters.
Step-by-step explanation: Given that Anja is creating a triangle using three straws and the lengths of two shorter straws are 20 cm and 21 cm.
We are to find the length of the third straw in centimeters so that Anja will create a right triangle.
The two shorter straws will make the legs of the right-angled triangle because they are shorter.
Since the third straw will be the largest, so it will make the HYPOTENUSE of the triangle.
In a right-angled triangle, we have
Hypotenuse² = length of one leg² + length of the other leg².
Therefore, we get

Thus, the length of the third straw is 29 centimeters.
Answer:
-17/2 =x
Step-by-step explanation:
9–5(x+4)=3(2–x)
Distribute
9 - 5x - 20 = 6 -3x
Combine like terms
-5x-11 = 6-3x
Add 5x to each side
-5x-11 +5x = 6-3x+5x
-11 = 6+2x
Subtract 6 from each side
-11-6 = 6+2x-6
-17 = 2x
Divide by 2
-17/2 = 2x/2
-17/2 =x
Answer:
D
Step-by-step explanation:
something about a formula lol i learned this yesterday i just dont know how to explain