Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
Answer:
#1
<u>Area of triangle backdrop:</u>
- A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²
<u>Area of the cloth:</u>
<u>Uncovered area:</u>
Choice A
#2
<u>Area of the cut piece:</u>
- A = πr² = 3.14*7.6² = 181.37 cm²
<u>Area of the square piece:</u>
<u>Remaining piece is:</u>
- 1156 - 181.37 = 974.63 cm²
Choice B
Answer:
12
Step-by-step explanation:
to make 1 cup with 1/4 cup you need to put 4.
therefore;
number of 1/4 cups needed = 3x4=12
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
X+23=-22
-23 -23
x=-45
a+(-1.3)=-4.5
or
a-1.3+-4.5
+1.3 +1.3
a=3.2
