Answer:
<h3>The surface area in square meters that Darren has to paint is

</h3><h3>∴

</h3>
Step-by-step explanation:
Given that Darren is painting a wooden block is a rectangular prism
Its length is 12 cm ,width is 9 cm and height is 5 cm
<h3>To find the surface area in square meters that Darren has to paint :</h3>
Let l be the length, w be the width and h be the height
Then l=12 cm , w=9 cm and h=5 cm
The formula for the Surface area is
A=2(lw+wh+hl) square units
Substitute the values in formula we get,
A=2(12(9)+9(5)+5(12))
=2(108+45+60)
=2(213)
=426
<h3>∴

</h3><h3>∴ the surface area in square meters that Darren has to paint is

</h3>
EXPLANATION:
1.We must locate the points that the exercise gives us in the Cartesian plane.
2.The figure that it gives us must be moved 3 units to the left and then 2 units up.
3.To correctly translate a figure, we must add the units that the exercise indicates and towards the correct direction, if it tells us that to the left is towards the negative axis, then each of the points given in the exercise we will transfer 3 units towards the left and then add each of the points two units up, then we see that the triangle takes new coordinates for the points.
4.The new coordinates for point E are (3,6)
The answer is x=-3
5-x=11+x
-11 -11 First subtract 11
-6-x=x
+x +x Now add x to both sides
-6=2x
~2 ~2 Finally divide by 2
-3=x Your answer is x=-3
Answer:
true
Step-by-step explanation:
1/2 (sin(x+y)+sin(x-y))
= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)
= 1/2 * 2 sin x cos y
= sin x cos y
The expression is true.
To find the ratio, you Will need to find the ratio of the patio, and the ratio of the scale version of the patio.
16 feet x 20 feet = 320 ft.²
(16/4 = 4 in)/(20/4= 5 in)
4 inches x 5 inches = 20 in.²
320 ft.² / 20 in.² = 16 ft.² / 1 square inch