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stepladder [879]
3 years ago
14

How far is a chord of length 8 cm from the centre of a circle of radius 5 cm

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0
  • Answer:

<em>OB = 3 cm</em>

  • Step-by-step explanation:

<em>AO = radius = 5 cm</em>

<em>AB = 8cm/2 = 4 cm</em>

<em>Pythagora</em>

<em>OB² = AO² - AB²</em>

<em>= (5cm)² - (4cm)²</em>

<em>= 25cm² - 16cm²</em>

<em>= 9 cm²</em>

<em>OB = √9cm²</em>

<em>= 3 cm</em>

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It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental.
iren [92.7K]

5.15 x 5 = 25.75

25.75 + 3.75 = 29.5

So your answer is $29.50

Hope it helps! :D

6 0
2 years ago
Elijah buys a one-pint bottle of juice for $2.88. What is the unit rate of the cost of the juice per fluid ounce?
mojhsa [17]
Answer: 0.48
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3 0
3 years ago
he​ half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of
pychu [463]

Answer:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

Step-by-step explanation:

Previous concepts

The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".

Solution to the problem

The half life model is given by the following expression:

A(t) = A_o (1/2)^{\frac{t}{h}}

Where A(t) represent the amount after t hours.

A_o represent the initial amount

t the number of hours

h=2.6 hours the half life

And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:

A(5.5) = A_o (1/2)^{\frac{5.5}{2.6}}

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:

% Remaining = \frac{|A_o - A_o(1/2)^{\frac{5.5}{2.6}}|}{A_o} x100

We can take common factor A_o and we got:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining = [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

5 0
3 years ago
What is 5/6 closer to
iogann1982 [59]
5/6 is closer to 10/16.
3 0
3 years ago
Read 2 more answers
ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points
kompoz [17]

Answer:

a.   0.1587

b.  0.8849

c.  0.1814

Step-by-step explanation:

a. Given that \mu=28, \ \ \sigma=2.4

-The probability a randomly selected score is greater than 30.4 is calculated as:

P(X>30.4)=1-P(X30.4)=1-P(z

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that \mu=28, \ \ \ \sigma=2.4

The probability a randomly selected score is less than 32.8 is calculated as:

P(X

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

P(25.6

Hence, the probability is 0.1814

3 0
3 years ago
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