Answer C is correct because 2×(4×305) is the same as (2×4)×305 and 2×4=8.
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where and are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:
The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>
Answer: look at the picture that the answer to it
Step-by-step explanation: Hope this help :D
We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
<h2>In short : </h2>
ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°