P=44+66+88/2=198/2=99
With Heron formula:
S=root 99*(99-44)(99-66)(99-88)=root 99*55*33*11=root 1976535= 1405.8929.....=1405.9
Answer:
y =2x+9
Step-by-step explanation:
-2x+y=9
Add 2x to each side
-2x+2x+y=2x+9
y =2x+9
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, 
Standard deviation, 
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components


=0.03
From z- table we get

Therefore, we get







Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Answer:
A
Step-by-step explanation:
area of triangle = 1/2*base*height
small triangle = 1/2*4*3 = 6
Big triangle = 1/2*8*6= 24
24/6=4
the big triangle is 4 times the size of the big triangle. so the small triangle would be 1/4 the size. hence D1/4(xyz) answer is A
First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!