3(2+q)+15 simplified is
1 answer:
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Answer:
The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Step-by-step explanation:
At first, let us find the perimeter of the playground
∵ Perimeter of a triangle is P = S1 + S2 + S3
∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft
∴ S1 = 2x, S2 = x - 1, S3 = x
→ Substitute them in the rule of the perimeter above
∵ P = 2x + x - 1 + x
→ Add the like terms
∴ P = (2x + x + x) - 1
∴ P = 4x - 1
∵ The perimeter of this playground is 27 feet
∴ P = 27
→ Equate the two values of P
∴ 4x - 1 = 27
→ Add 1 to both sides
∴ 4x - 1 + 1 = 27 + 1
∴ 4x = 28
→ Divide both sides by 4
∵ =
∴ x = 7
→ Substitute the value of x in each side to find their lengths
∵ S1 = 2(7)
∴ S1 = 14 feet
∵ S2 = 7 - 1
∴ S2 = 6 feet
∵ S3 = 7 feet
∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet
Answer:
Her proportion does not have corresponding parts in the same position.
Step-by-step explanation:
Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below.
What was Sharon’s error in finding the missing height measurement for her reduced tower?
Her proportion does not have corresponding parts in the same position.
For cross products, she needed to multiply 1050(328) and 5(x).
She needed to divide both sides by 1640, instead of 1050.
She needed to round down to 1.5 feet.
Height : base = 1,050 : 328
She has room to make a base of 5 feet.
Height : base = x : 5
1,050 : 328 = x : 5
1,050 / 328 = x / 5
Cross product
1,050 * 5 = 328 * x
5,250 = 328x
Divide both sides by 328
x = 5250 / 328
= 16.006
Approximately 16
Sharon's error:
Her proportion does not have corresponding parts in the same position.
