X=5/8 or x=-4/3
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3
Answer:0.3, 0.386,0.683,0.836
Step-by-step explanation:
You look left to right in the numbers (0.12,0.12)
180
Because 120 divided by 2 is 60.
And 120 + 60 is 180
Formula for the area of the triangle:
1/2 bh
b = base
h = height
#6.
Area = 36 in²
Base = 18 in
36 = 1/2(18)h
36 = 9h
36 ÷ 9 = h
4 = h
height = 4 in
#7.
Area = 2 ft²
Height = 1 ft
2 = 1/2 b (1)
2 = 1/2 b
2 ÷ 1/2 = b
4 = b
Base = 4 ft
#8.
Area = 42 in²
Base = 12 in
42 = 1/2 (12) h
42 = 6h
42 ÷ 6 = h
7 = h
Height = 7 in
Notice that the answers have no exponents (²). That is because they are used only on the area of shapes as units.
Since you find the area by multiplying things together, for example x · x = x², the exponent is there.
You do not need to worry about this being in the calculation. This will just be in units such as:
cm²
ft²
in²
m²
Just remember to use these exponents in the units for the areas.
Answer:
The second option, 1,008 cm²
Step-by-step explanation:
This shape has 5 sides to solve for with reguards to surface area.
Let us solve for them all.
[1 & 2 - the triangles]
12 * 9 = 108 cm²
-> I am not going to divide since we have 2 congruent triangles
[3 - the bottom side]
25 * 12 = 300 cm²
[4 - the side facing away]
25 * 9 = 225 cm²
[5 - the side facing up]
25 * 15 = 375 cm²
Now we will add them together for the total.
108 + 300 + 225 + 375 = 1,008 cm²
The surface area for the triangular prism shown is 1,008 cm².
