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oksano4ka [1.4K]
2 years ago
13

Question 12 (1 point)

Mathematics
1 answer:
kifflom [539]2 years ago
6 0
4) None of the above
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What is the side length of a cube that has a total surface area of 96 square centimeters?
Setler79 [48]
96/4. You should get the answer by dividing 96 by 4.
8 0
3 years ago
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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
Help please! Do not answer if you are not going to help me
kirza4 [7]

9514 1404 393

Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

  13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

  25x = 200 . . . . . . . add 20, simplify

  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

  ∠D = 5(8) -2 = 38°

  ∠E = 9(8) +3 = 75°

  ∠F = 11(8) -21 = 67°

__

13. (10x -4) +(4x -22) +(x +11) = 180

  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

4 0
3 years ago
After a 7.5% tax Tom paid $30.09 for a new hat what is the price of the hat before tax
nekit [7.7K]

Answer:

$27.83

Step-by step explanation:

7 0
3 years ago
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Can someone help me with this ??<br> Order the following numbers from least to greatest.
telo118 [61]

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

<h3>Descending and ascending order</h3>

Ordering a sequence of number from least to greatest is known as the ascending order of magnitude

Given the following parameters

∛64, √19 and 4.222...

The cube root of 64 is 4

The square root of 19 is 4.36

While the repeating decimal 4.2. can be 4.2222...

Ordering from least to greatest is 4, 4.2222, 4.36

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

Learn more on ascending order here: brainly.com/question/12783355

#SPJ1

4 0
2 years ago
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