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Westkost [7]
3 years ago
5

(100 points)

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

30/10 and 5/11

Step-by-step explanation:

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Law of reflection. Easy question please help (picture included)
PIT_PIT [208]
<span>Simple. The Law of Reflection states that the angle of incidence is equal to the angle of reflection. These two angles are measured relative the normal line (line perpendicular to the surface). The angle of reflection is therefore 34 degrees also.  However, since the question is asking for the angle relative to the mirror, then the answer is 90-54 = 36</span>° Thus your answer is C. 36°
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3 years ago
Help in giving brainlist
Lina20 [59]

Answer:

50%

Step-by-step explanation:

25 x 50% = 12.5

12.5$ off is more than 10$ off

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3 years ago
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What value of x makes the equation true?<br> 3(4x-5)-4x+1=-6<br> Please show work
V125BC [204]

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

3 0
2 years ago
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the
Ivanshal [37]

The sine function for the given scenario is y  = 6sin ( (π / 10) x )  -  10.

<u>Step-by-step explanation:</u>

The standard formula for sine function is Asin(Bx)+C.

A buoy bobs up and down 6 meters. That is the buoy shifts vertically and horizontally  for 6 meters which is amplitude.

∴Amplitude A= 6.

Period is the distance in the x-axis that makes one full oscillation.

We know that the time taken buoy to move from its highest point to lowest point (half oscillation) is 10 seconds.

∴The period for full oscillation is 20 seconds.

Also, Period =2π divided by B.

⇒ 20 (B) = 2π.

B=2π /20.

= π/ 10.

Since the buoy is in the depth of the ocean 10 meters C = -10.

Applying all the values in the formula,

⇒y  = 6sin ( (π/ 10) x )  -  10.

The first point is the mid line,

The first point is x=0,

⇒y=6sin(0)-10.

y= -10.

∴ The line starts at the point y = -10.

The second point is either maximum or minimum value.

That is (5,-4) and (15, -16.)

7 0
3 years ago
Evaluate the following expression using the values given:
abruzzese [7]
-a^2 - 3b^3 + c^2 + 2b^3 - c^2 = -a^2 - b^3 = -(3)^2 - (2)^3 = -(9) - 8 = -9 - 8 = -17
3 0
3 years ago
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