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san4es73 [151]
2 years ago
5

What is the geometric mean of 4/5 and 45?

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0

Answer:

6

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \sqrt{ab} , then

geometric mean = \sqrt{\frac{4}{5}(45) } = \sqrt{36} = 6

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I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its wi
Ilia_Sergeevich [38]

 

The formula for perimeter is:

<span>P = 2 h +  2 w</span>

where P is perimeter = 120 cm, h is height, w is width

we are also given that: h = (2/3) w, therefore:

P = 2 (2/3) w + 2 w = 120

(4/3) w + 2 w = 120

w = 36 cm

 

Therefore l is:

l = (2/3) w = 24 cm

 

<span>Hence the dimension should be 24cm by 36 cm</span>

6 0
3 years ago
Please help me find BD
Tanzania [10]

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally, so you have ...

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . . multiply by 24

  3x +12 = 4x +2 . . . . . . . . eliminate parentheses

  10 = x . . . . . . . . . . . subtract (3x+2)

Then BD = x+4 = 10 +4.

The length of BD is 14 units.

_____

<em>Additional comment</em>

The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.

8 0
2 years ago
4.8/1 7/9 =(1.2b):6 2/3
Hunter-Best [27]

Answer:

b = 15

Step-by-step explanation:

Solve for b:

\dfrac{4.8}{1\frac{7}{9}}=\dfrac{1.2b}{6\frac{2}{3}}

Cross multiply:

6\dfrac{2}{3}\cdot 4.8=1.2b\cdot 1\dfrac{7}{9}\\ \\\dfrac{6\cdot 3+2}{3}\cdot 4.8=1.2b\cdot \dfrac{9+7}{9}\\ \\\dfrac{20}{3}\cdot \dfrac{48}{10}=\dfrac{12b}{10}\cdot \dfrac{16}{9}\\ \\20\cdot 4=b\cdot \dfrac{16}{3}\\ \\5=b\cdot \dfrac{1}{3}\\ \\b=5\cdot 3\\ \\b=15

8 0
3 years ago
Please help! This is due soon!!!
daser333 [38]

Answer:

The slope of the line is

\frac{1}{3}

3 0
2 years ago
What expression using gcf 14xy+8yz
salantis [7]

Answer:

2y(7x + 4z)

Step-by-step explanation:

Consider the common factors of both terms

The gcf of 14 and 8 is 2

The gcf of xy and yz is y

Thus the gcf of both terms is 2y, thus

14xy + 8yz

= 2y(7x + 4z)

6 0
2 years ago
Read 2 more answers
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