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leva [86]
3 years ago
8

What is the geometric mean of 21 and 54?

Mathematics
1 answer:
zvonat [6]3 years ago
7 0
By definition, the geometric mean of n numbers is the n-th root of the product of the numbers.

We are given two numbers: 21 and 54.
Their product is 21*54 = 1134

Because we have two numbers, their geometric mean is 
√(1134) = 33.675

Answer: 33.675
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find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches
MrMuchimi

Step-by-step explanation:

Length of arc of a circle is given as:

l =  \frac{ \theta}{360 \degree}  \times 2\pi \: r \\  \\  \therefore \: 14\pi = \frac{ \theta}{360 \degree}  \times 2\pi \:  \times 18 \\  \\ \therefore \:\theta =  \frac{14\pi \times \: 360 \degree }{2\pi \:  \times 18} \\  \\ \therefore \:\theta =  \frac{7 \times \: 360 \degree }{18}  \\  \\ \therefore \:\theta =  7 \times \: 20 \degree \\  \\  \huge \red{ \boxed{\therefore \:\theta =  140 \degree}}

Thus, the measure of central angle is 140°.

7 0
3 years ago
Ten cards are numbered from 1 to 10 and placed in a box. One card is selected at random and replaced. Another card is randomly s
nata0808 [166]

Answer:

1/10

Step-by-step explanation:

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3 years ago
In the diagram below what is the relationship between the number of rectangles in the perimeter of the figure they form?
Wewaii [24]

Answer:

the correct answer is the third one.  (1, 16), (2, 20), (3, 24)

Step-by-step explanation:

A perimeter is a path that surrounds a two-dimensional shape.

In the first case, 1 rectangle, the perimeter is the sum of all the sides:

Perimeter = 6 + 2 + 6 + 2 = 16

In the second case, 2 rectangles, the perimeter is the sum of all external sides:

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In the third case, three rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 2 + 6 + 2 + 2 + 2 = 24

In none of the cases, you take into consideration the interal sides. Just the external sides, so the correct answer is the third one.

8 0
4 years ago
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5 0
3 years ago
A triangle has a base of 4.2 meters and a height of 2.5 meters. What is the area?
anastassius [24]

Answer:

A = 5.25\frac{}{} \frac{}{}m^2

Step-by-step explanation:

The area of a triangle can be determined by the formula:

A = \frac{1}{2}bh    (We are given that the base is 4.2m and the height is 2.5m)

A = \frac{1}{2}*(4.2)*(2.5)    (Simplify)

A = 5.25\frac{}{} \frac{}{}m^2

6 0
3 years ago
Read 2 more answers
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