Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e - 11
Subtract 7e from both side
2e - 7 = -11
Add 7 to both sides
2e = -4
Divide by 2 to isolate e
e = - 2
Answer: area = 379.7 mm²
Perimeter = 95.84 mm
Step-by-step explanation:
The composite shape contains a semi circle and a trapezoid.
The area of a semi circle is
1/2 × πr²
Radius = diameter/2
Radius = 20/2 = 10 mm
Area = 1/2 × 3.14 × 10 = 15.7 mm²
Area of trapezoid is expressed as
1/2(a + b)h
Area = 1/2 × (20 + 32)14
Area = 1/2 × 52 × 14) = 364mm²
Area of the composite shape is
15.7 + 364 = 379.7 mm²
Formula for determining the perimeter of the semicircle is
1/2 × πd
Perimeter = 1/2 × 3.14 × 20 = 31.4mm
Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 12² + 14² = 340
h = √340/= 18.44
Perimeter of the composite shape is
31.4 + 14 + 32 + 18.44 =95.84 mm
Answer:
-2l -3
Step-by-step explanation:
5l -3+ (-7)l
5l -3 -7l
5l -7l -3
-2l -3
42 < -6d
divide 6 by both sides,
7 < -d
(C) d > -7 is the answer.
Answer:
5-m is the expression is equivalent to - m + 5.