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Charra [1.4K]
3 years ago
14

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in

simplest form. 6 and 11

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = \frac{11}{6}

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = \frac{121}{36}

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ehidna [41]

Answer: (m+10)(m-4)

Step-by-step explanation:

m^2+6m-40\\(m+10)(m-4)

8 0
4 years ago
Read 2 more answers
Select the correct answer. What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 1? A. -0.21 B. 0.74 C. 1.35 D. 1.97
WARRIOR [948]

Given the:

ln(x + 6) - ln(2x - 1) = 1

Using the logarithm rule:

  • ln a - ln b = ln (a/b)
  • ln((x + 6) / (2x - 1)) = 1
  • ((x + 6) / (2x - 1)) = E ¹

We know,

  • e1 = ²'⁷²
  • ((x + 6) / (2x - 1)) ≈ 2.72

Simplifying we get,

  • (x + 6) = 2.72 (2x - 1)
  • x + 6 = 2.72 (2x) - 2.72 (1)
  • x + 6 = 5.44x - 2.72
  • 8.72 = 4.44x

By cross multiplication we get,

  • x = 8.72 / 4.44
  • x = 1.97

Therefore, the value of x is 1.97.

The correct option in the exercise ln (x + 6) - ln (2x - 1) = 1 is alternative "D".

7 0
2 years ago
Can someone help me understand this? Please explain how to do it.
Svetach [21]
The answer is A 3x + 1
5 0
4 years ago
Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360° 540° 72
Pie

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

7 0
3 years ago
Allen and Ben both open new bank accounts with an initial
Nina [5.8K]
Use Continuous Compound Interest Formula:
A = Pe^rt
A = Future Amount
P = Initial Amount
r = Interest rate
t = Time

%2 = 2/100
= 0.02

A = 500.00e^(0.02)(4)
A = 541.6435338

Round to nearest cent:
A ≈ 541.64 -> Final Answer.
7 0
3 years ago
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