We have two right triangles and three different rectangles.
The formula of an area of a right triangle:
l₁, l₂ - legs
We have l₁ = 20cm and l₂ = 21cm. Substitute:
The formula of an area of a rectangle:
l - length
w - width
We have:
rectangle #1: l = 22cm, w = 29cm
rectangle #2: l = 22cm, w = 21cm
rectangle #3: l = 22cm, w = 20cm
The total Surface Area of the triangular prism:
Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment be a height on side . Since this triangle is equilateral, the size of each internal angle will be . The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is inches, the radius of this circle will also be inches.
The area (in square inches) of a circle of radius inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.
Answer:
d 40 times 23=920
Step-by-step explanation:
if you did 60 times 15= 900
the highest is 920
Answer:
98
Step-by-step explanation:
Integers are whole numbers or opposite of whole numbers.
The slope is 1.
How?
Change of y is 100-1=99.
Change of x is 100-1=99.
The slope is 99/99=1 or 1/1.
So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).
If we do that again from (2,2) we get (3,3).
Following the pattern of going up 1 and right from each new location discovered we get all the of these points:
Start (1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
....
(96,96)
(97,97)
(98,98)
(99,99)
end (100,100)
So we just need to count all the numbers from 2 to 99.
99-2+1
97+1
98
Expanded form is writing out everything and no simplifying.
A. c times c
B. t times t times t times t
C. 2 times x times x times x
D. 4 times 4 times h times h
E. 2 times 2 times 2 times l times l times l
F. a times a times a + 7 times b times b
Hope this helps :)