Answer:
50%
Step-by-step explanation:
0.3x = 15
0.3x x 10 = 15 x 10
3x = 150
3x/3 = 150/3
x = 50
50%
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Answer:
26.17 cm²
Step-by-step explanation:
Applying,
A = πr²∅/360................. Equation 1
Where A = Area of the sector, r = radius of the circle the sector was formed from, ∅ = angle subtends by the sector at the center of the circle , π = pie.
From the question,
Given: r = 5 cm, ∅ = 120°, π = 3.14
Substitute these values into equation 1
A = 3.14(5²)(120)/360
A = 26.17 cm²
Hence the area of the sector is 26.17 cm²
Answer:
5/6 in simpleest form is 5/6
It is already the lowest it can go
