100-75=25
27 divided by 0.25 is108
there are 108 questions on the test
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
Answer:
x>1 the bottom graph
Step-by-step explanation:
(18x - 9 > 9) and (2x - 4 > -10)
Do the first inequality first
18x - 9 >9
Add 9 to each side
18x - 9+9 > 9+9
18x> 18
Divide each side by 18
18x/18 > 18/18
x >1
Then the second inequality
(2x - 4 > -10)
Add 4 to each side
2x-4+4>-10+4
2x>-6
Divide each side by 2
2x/2 >-6/2
x>-3
Since this is an and
x>1 and x>-3
We take the more restrictive
x>1
Answer:
see below
Step-by-step explanation:
3x^2 + 17x +10 =0
(3x+ ) ( x+ ) =0
We need to factor 10 = 2*5 or 1*10
They are positive since we have all positive terms
3*5 = 15+2 = 17
The 5 needs to multiply the 3 so it goes on the outside
(3x+ ) ( x+ 5 ) =0
That leaves the 2 on the inside
(3x+ 2 ) ( x+ 5 ) =0
Using the zero product property
3x+2 =0 x+5=0
3x = -2 x=-5
x = -2/3 x = -5
Answer:
a=14.63
c=13.63
Step-by-step explanation:
a = sinA*b
c = sinC*b
