Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
Answer:
The two in the middle are the negatives and the two that are on the sides are positive.
Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
Let's start with option A --> $23 per hour x 40 hours = 23 x 40 = 920 = $920
That means we have to find how many $ x 5% = $920
We'll call our unknown amount: "B", so B x 0.05 = $920
To find B you have to get ride of everything on its side:
(B x 0.05) / 0.05 = 920 / 0.05 ----> we have to do the same operations on each side.
Now we have B = 920 / 0.05 ----> B = $18,400
The salesperson must sell $18,400 in order to earn the same amount as the first option.
