Answer: Surface area = 29.32 inches²
Step-by-step explanation:
The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.
The formula for determining the area of a triangle is expressed as
Area = 1/2 × base × height
Base = 2 inches
Height = 2 inches
Area = 1/2 × 2 × 2 = 2 inches²
Area of the 2 triangular faces
= 2 × 2 = 4 inches²
The area of the two equal rectangles is
Area = 2 × 2 × 4 = 16 inches²
To determine the width, w of the rectangular base, we would apply Pythagoras theorem.
Hypotenuse ² = opposite side² + adjacent side²
w² = 2² + 2²
w² = 4 + 4 = 8
w = √8 = 2.83
Area of the rectangular base is
2.83 × 4 = 11.32 inches²
Surface area = 4 + 16 + 11.32 = 31.32 inches²
The answer is 3/4ths. If you have any questions please ask
Answer:
The number 
is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
In this question:
We have that:
Since 
, we have that:
Completing the square:
The term that completes the square is 
. So
The number is added to the polynomial below to complete the square.
Answer:
1. An intuitive understanding of number, their magnitude, relationships, and how they are affected by operations.
2. The ability to work outside the traditionally taught algorithms.
3. The ability to perform mental mathematics
4. The ability to look at the world and make comparisons.
5. (In non-human animals) The ability to perceive changes in the number of things in a collection.
This is a conversion problem. We know that 1 mile is 5280 feet, right? Since Ellie lives 2 miles, and two is double of 1, we just take 5280 and multiply that by two (or add it twice) to find how many feet is between Ellie's house and school. 5280 x 2 = 10560 (you get the same answer if you add 5280 twice). Therefore, 10560 feet lies between Ellie's house and school.
