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3 years ago

Find the geometric mean of 14 and 20.

Mathematics

1 answer:

Tom [10]3 years ago

7 0

Answer:

16.73 to nearest hundredth.

Step-by-step explanation:

The geometric mean of x and y is √xy.

So out geometric mean is √(14*20)

= √280

= 16.7332

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The product of 4 and a number f decreased by 2 is 15

Debora [2.8K]

Answer: The number is: "2 " .

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Step-by-step explanation:

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Write the expression; which is an equation, as follows:

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" 4x − 12 = 2(-x) " ; in which "x" represents "the number for which we shall solve" .

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Note:

If the "number" = "x" ; the "opposite of the number" = " -x " ;

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Rewrite as: " 4x − 12 = -2x " ;

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→ Add "12" ; & add "2x" ; to EACH SIDE of the equation:

4x − 12 + 12 + 2x = -2x + 12 + 2x ;

to get: 6x = 12 ;

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Now, divide each side of the equation by "6" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

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6x / 6 = 12 / 6 ;

to get: x = 2 .

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Answer: The number is: "2 " .

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Let us check our answer, by plugging in "2" for "x" in our original equation:

_____________________________________________________

→ " 4x − 12 = 2(-x) " ;

Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

→ " 4(2) − 12 = ? 2(-2) ??

→ 8 − 12 = ? -4 ? ;

→ -4 = ? -4 ?? Yes!

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7 0

2 years ago

Read 2 more answers

The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.

Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence
angle AOD + angle DOB = 132°    ---> 1

angle COD = 141 and is also the sum of angles COB and BOD. Hence
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation.

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3

We should also note that:
angle AOD + angle DOB + angle COB = 180°

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141
angle DOB = 273 - 180 = 93°

8 0

3 years ago

Summer School 2020 Math 8 NWLSD

Ray Of Light [21]

Answer:

8 granola bars in each box

Step-by-step explanation:

The equation is 4x+5x=72

4x and 5x are like terms, so combine those 9x=72

Use the division property of equality to solve for x, x=8

5 0

2 years ago

Please help me and show me how to do it?

Greeley [361]

The answer is 8 batches of cookies

4 0

2 years ago

two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s

Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

$diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)$