<h3><u>Given Information :</u></h3>
- Length of parallel sides = 60 ft and 40 ft
- Height of the trapezoid = 30 ft
<h3><u>To calculate :</u></h3>
<h3><u>Calculation :</u></h3>
As we know that,
- a and b are length of parallel sides.
- h denotes height.
<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:
Area = 
× ( 60 + 40 ) × 30 ft
Area = × 100 × 30 ft
Area = 1 × 100 × 15 ft
Area = 100 × 15 ft
<u>Area = 1500 ft</u>
Therefore,
- Area of the trapezoid is <u>1500 ft</u>
Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Answer:
rounded to the nearest 10 is 840
rounded to the nearest 100 is 800
Step-by-step explanation:
