Answer:
343 ft^2 (Closest to Answer D)
Step-by-step explanation:
The triangle on the left has height 24 ft and base 18 ft, and therefore, by the area-of-a-triangle formula A = (1/2)(b)(h), the area of the triangle is
A = (1/2)(24 ft)(18 ft) = 216 ft^2.
The semicircle on the right has radius (18 ft)/2, or 9 ft. Using the area-of-a-semicircle formula A =(pi)(r)^2/2, we find this particular semicircle to have area
A = (pi)(9)^2/2, or approximately 127 ft^2
Adding these two subareas together results in total area
A = (216 ft^2) + (127 ft^2) = 343 ft^2 (Answer D)
Answer:
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Answer:
The slope is 0 because it is a straight line
Step-by-step explanation:
Answer:
152
Step-by-step explanation:
All segments in a triangle add to 180. 1
8+10+x=180
x=152
Answer:
x+4
x+1-2=x-1
Step-by-step explanation:
x+4/x-1=11/16 x should be different than 1 cz 1-1=0
16(x+4)=11(x-1)
16x+64=11x-11
16x-11x=-11-64
5x=-75
x=-15
