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ryzh [129]
3 years ago
15

What is the geometric mean of 8 and 10?

Mathematics
2 answers:
Levart [38]3 years ago
8 0

Answer:

Geometric mean of 2 numbers is a square root of the product.

Given  8,10

Geometric mean = √(8*10)

=√80

= √(16*5)

= 4√5

nekit [7.7K]3 years ago
3 0
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.

If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x

Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.

The two numbers are 4 and 16.
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the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large
Dmitriy789 [7]

Answer:

The volume of the similar prism is 336\ cm^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> the scale factor

y=42\ cm^{3}

substitute and solve for x

x=42(2^{3})=336\ cm^{3}

3 0
3 years ago
What is m∠A to the nearest degree?
Anuta_ua [19.1K]
So this is a right triangle so you can use sin, cosine, or tangent. for A, you have the sides opposite and hypotenuse, which means you use sin*
sin(A) = opposite / hypotenuse
sin(A) = 56 / 75
arcsin(56/75) = A
A= about 48.3
so to the nearest degree, your answer is 48

*soh cah toa (if you dont know what that is, i can explain it)
4 0
3 years ago
Read 2 more answers
A candy maker buys a bar of chocolate weighing 162 oz. About how many lb does the bar weigh?
Natali [406]
Use dimensional analysis. 1 lb = 16 oz will be the conversion factor. 162 oz x (1 lb/16 oz) = 10.125 lb.
7 0
3 years ago
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Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca
Ganezh [65]

Answer:

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

5 0
3 years ago
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alexdok [17]

Answer:

151,515 * 555 = www

Step-by-step explanation:

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7 0
3 years ago
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