Area of wooden support is 36 square inches
<em><u>Solution:</u></em>
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
<em><u>The area of trapezoid is given as:</u></em>
![area = \frac{a+b}{2} \times h](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20%5Ctimes%20h)
Where, "h" is the height
"a" and 'b" are the length of base
Here given that,
Height = h = 4 inches
a = 6 inches
b = 12 inches
Substituting the values we get,
![area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7B6%2B12%7D%7B2%7D%20%5Ctimes%204%5C%5C%5C%5Carea%20%3D%2018%20%5Ctimes%202%5C%5C%5C%5Carea%20%3D%2036)
Thus area of wooden support is 36 square inches
4^1|15 I know this cuz I had the same questions and got them right
It's angles 9 and 10.
Supplementary angles are two angles that add up to 180°.
So, supplementary angles both "stick" off of a straight line. (Because a straight line is 180°).
Answer:
1/8 is the bigger fraction
Step-by-step explanation:
When comparing fractions with different denominators, and the numerator is one, like 1/8. The one with the smaller number for the denominator is greater.
You could also compare them by finding common denominators, so for 1/8 and 1/9, a common denominator would be /63. So you would take
and multiply that by
. You would then get
. When you take
times
you get
. So when comparing you can see that 1/8 is greater than 1/9.
Find the first semicircle area
Area semicircle can be determined by dividing the full area of circle by 2.
The first semicircle radius is 5 cm
semicircle area = 1/2 circle area
semicircle area = 1/2 × π × r²
semicircle area = 1/2 × 3.14 × 5²
semicircle area = 1/2 × 3.14 × 25
semicircle area = 39.25 cm²
Find the second semicircle area
Because the dimension of the second semicircle is congruent to the first semicircle, they have similar area measurement, 39.25 cm².
Find the quarter circle area
The area of quarter circle can be determined by dividing the full area of a circle by 4.
q circle = 1/4 × area of circle
q circle = 1/4 × π × r²
q circle = 1/4 × 3.14 × 10²
q circle = 1/4 × 314
q circle = 78.5 cm²
To find the entire area, add the area above together
area = first semicircle + second semicircle + q circle
area = 39.25 + 39.25 + 78.5
area = 157
The area of shaded region is 157 cm²