Answer:
10 square in.
Step-by-step explanation:
The rectangles are similar by a scale factor of 3. We can tell because the quotient of two of the corresponding sides, 18 and 6, is 3 (18/6=3)
That means the width of ABCD is 3 times the width of WXYZ.
Let's say the width of ABCD is x. Then 18*x=90 because that's the area.
x=90/18=5
Now we have the width of ABCD, 5, so to get the width of WXYZ, we divide by 3, which is 5/3.
Now to get the area of WXYZ, we can do 5/3, the width, times 6, the length, which is 30/3=10.
Answer:
Read left to right
Do parenthesis first
-4 ( 1 + 5) ^2
-4 (6) ^2
Then exponent
6^2 = 6 x 6 = 36
-4 x 36 = -144
Then divide
-144 / 6 = -24
Then the next parenthesis
(42+5) = 47
-24 - 47 = <em>-71</em>
Step-by-step explanation:
Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A =
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 =
h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h =
= 4 units