Answer:
Please check the explanation.
Step-by-step explanation:
Part 1)
5x + 9y, when x=8, y=11
substituting x=8, y=11 in 5x + 9
5x + 9y = 5(8) + 9(11)
= 40 + 99
= 139
Part 2)
a³ –c + b, when a=3, b=6, c=8
substituting a=3, b=6, c=8 in a³ –c + b
a³ –c + b = (3)³ - 8 + 6
= 27 - 2
= 25
Part 3)
4(g –h) +10, when g=12, h=7
substituting g=12, h=7 in 4(g –h) +10
4(g –h) +10 = 4(12 - 7) + 10
= 4(5) + 10
= 20 + 10
= 30
Part 4)
k³ –4j +12, when k=8, j=2
substituting k=8, j=2 in k³ –4j +12
k³ –4j +12 = (8)³ - 4(2) + 12
= 512 - 8 + 12
= 516
Summary:
Answer:
a) 33
Step-by-step explanation:
triangle inequality theorem
- the sum of any two sides of a triangle must be greater than the third
Its C.125 is the correct answer...
Answer:
110.5 yd²
Step-by-step explanation:
Separate the figure into 1 triangle and 3 rectangles.
(see attached image)
<u>Area 1</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (7 + 2 + 2) × 7
= 1/2 × 11 × 7
= 38.5 yd²
<u>Area 2</u>
Area of a rectangle = width × length
= 3 × (5 + 2 + 2)
= 3 × 9
= 27 yd²
<u>Area 3</u>
Area of a rectangle = width × length
= 5 × (5 + 2)
= 5 × 7
= 35 yd²
<u>Area 4</u>
Area of a rectangle = width × length
= 2 × 5
= 10 yd²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10
= 110.5 yd²