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DENIUS [597]
3 years ago
13

If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Mathematics
1 answer:
Paul [167]3 years ago
8 0

Answer:

Step-by-step explanation:

Conditions

  • A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
  • The diameter meets the sidewalk at the sidewalk's midpoint.
  • The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
  • The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
  • If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x  = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

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Suppose that 35% of all voters voted for a recall. Find the mean of the sampling distribution of the proportion of the 3150 peop
Aloiza [94]

Answer:

0.35 is the mean of the sampling distribution of the proportion.

Step-by-step explanation:

We are given the following in the question:

Percentage of voters who voted for recall = 35%

p = 35\% = 0.35

Sample size, n = 3150

We have to find the mean of the sampling distribution.

Formula for mean of sampling distribution:

\mu = p

Putting values, we get,

\mu = 0.35

Thus, 0.35 is the mean of the sampling distribution of people sampled in an exit poll who voted for the recall.

8 0
3 years ago
Find the domain and range of the function graphed in the picture.
algol [13]

The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.

Therefore, the domain is the set of numbers x such that x \le 4

To write this in interval notation, we would write (-\infty, 4] This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.

-----------------------------------------------------------------------

The range is the set of possible y outputs. Every point on this curve has a y coordinate that is either 0 or it is larger than 0.

The range is the set of y values such that y \ge 0

In interval notation, it would be written as [0, \infty) This time we start at 0 (including this endpoint) and "stop" at infinity

note: we always use curved parenthesis at positive or negative infinity because we cannot reach either infinity

7 0
3 years ago
Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively. How many times will t
Evgen [1.6K]

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3  6  10  12  15

2 | 3  3   5   6  15

3 | 3  3   5   3  15

5 | 1    1  5   1    5

  | 1    1   1   1     1

LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5

LCM(3, 6, 10, 12,15)=60

So, the bells will ring together after every 60 seconds i.e. 1 minutes.

i.e. in 1 minute they rand together 1 time.

We know, 1 hour = 60 minutes

So, in 60 minute they rang together 60 times.

Therefore, 60 times will they ring together at the same second in one hour excluding the one at the end.

6 0
3 years ago
What role do animals have in the carbon cycle?
dangina [55]
I believe it is use sugar and and release carbon. We breath in oxygen so you know it can’t be anything where we release oxygen. And I don’t know how we could release nitrogen so I would go with the second one
4 0
3 years ago
Read 2 more answers
The triangle has size with the lengths of 3 cm 13 cm and 14 cm Is it a right triangle?
WITCHER [35]

Answer:

No, it is not a right triangle

Step-by-step explanation:

Let H = 14 cm

B = 3 cm

P = 13 cm

According to pythagoras theorem:

H^2 = P^2 + B^2

14^2 = 13^2 + 3^2

196 = 169 + 9

196 is not equal to 178

Hence, it is not a right triangle

6 0
3 years ago
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