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omeli [17]
3 years ago
8

A square has side length 3 units. What is the length of the diagonal?

Mathematics
1 answer:
ella [17]3 years ago
4 0

9514 1404 393

Answer:

  C. 3√2 units

Step-by-step explanation:

The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.

__

If you like, you can see this using the Pythagorean theorem.

  d² = s² + s² . . . . . where d is the diagonal, and s is the side

  d² = 2s²

  d = √(2s²) = s√2

For s=3, ...

  d = 3√2

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In a unit circle, ø = 2pi radians What is the terminal point?
BlackZzzverrR [31]

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.

  • The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
  • The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
  • The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
  • The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 2π radians

∵ 2π radians = 360°

→ By using the 1st rule above

∴ The terminal point is (1, 0)

5 0
3 years ago
What is the smallest power of 10that would exceed 999999999991
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Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.
Anestetic [448]

Answer:

f\left(5\right) = 43

Step-by-step explanation:

Given

f\left(x\right)=5x+2\mid11-5x\mid-4

Required

Solve for x = -5

This implies that we substitute -5 for x in f\left(x\right)=5x+2\mid11-5x\mid-4

f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4

Open all brackets

f\left(5\right) = -25+2\mid11+25\mid-4

f\left(5\right) = -25+2\mid36\mid-4

Absolute value of 36 is 36; Wo, we have:

f\left(5\right) = -25+2*36-4

f\left(5\right) = -25+72-4

f\left(5\right) = 43

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3 years ago
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