If you see 8 more roses than lilacs, and there are 9 lilacs, then the answer would be 17 lilacs because 8 + 9 = 17. If you were to answer it through algebra, it would be 8 + 9 = x <span />
2 fewer sides than a heptagon.
A heptagon has 7 sides.
2 fewer than 7 is 5.
A 5 sided shape is called a Pentagon.
It is a Pentagon.
Notice the circle, the radius NM or ML is 5, and the arc the angle makes is 14.3 cm, thus
Answer:
Proven . We get a true statement of 1 = 1 by transforming the expression on the left side to make it look like the right side. See below.
Step-by-step explanation:
This is missing some notation: Sin^4x+2cos^2x-cos^4=1
We want to prove : (Sin x ) ^ 4 + 2 (cos x)^2 - (cos x)^4 = 1
Replace the (cos x)^4 with ((cos x)^2)^2 same with the (sin x)^4 with
((sin x)^2)^2
(Sin x ) ^ 4 + 2 (cos x)^2 - (cos x)^4 = 1
( ((sin x)^2) ^2 - ( (cos x)^2)^2 + 2 (cos x)^2 + 1 - 1 = 1
Factor the trinomial -((cos x)^2)^2 + 2 (cos x)^2 + 1 .
considering ((cos x)^2) is the variable
( ((sin x)^2) ^2 - ( (cos x)^2)^2 + 2 (cos x)^2 - 1 + 1 = 1
( ((sin x)^2) ^2 + [- ( (cos x)^2)^2 + 2 (cos x)^2 - 1 ] + 1 = 1
( ((sin x)^2) ^2 - [ ( (cos x)^2) - 1 ]^2 + 1 = 1
But also notice that (sin x)^2 = 1 - (cos x)^2 from the trig identity:
(sin x)^2 + (cos x)^2 = 1
( (1 - (cos x)^2) ^2 - [ ( (cos x)^2) - 1 ]^2 + 1 = 1
here we see that (1 - (cos x)^2) ^2 = [ ( (cos x)^2) - 1 ]^2
so we get ( 0 + 1) = 1
1 = 1 true.
Proven . We are done proving this identity because we get a true statement.
Answer:
Figure G.
Step-by-step explanation:
Let's check through the values and calculate the radius and area for all the circle.
For circle R
Diameter = 2 feet
Radius= 1 feet
Area= πr²
Area= 3.14*1
Area= 3.14 feet²
CircleS
Diameter= 4 feet
Radius= 2 feet
Area= πr²
Area= 3.14*2²
Area= 12.56 feet²
Circle T
Diameter= 8 feet
Radius= 4 feet
Area = π r²
area= 3.14*4²
Area=50.24 feet²
Circle U
Diameter= 12 feet
Radius= 6 feet
Area = π r²
area= 3.14*6²
Area=113.04 feet²
The values of the radius and Area all match the graph in figure G