The library is about 26.1 miles from the courthouse.
To solve this problem, we will apply the Pythagorean theorem, which tells us that during a right triangle, the square of the period of the hypotenuse( the longest side) is same to the total of the places of the lengths of the different two sides.
In this instance, the park is on the right angle, and the library and courthouse are the opposite two factors. we can consider the distance among the library and the park because the length of 1 leg of the triangle, and the space among the courthouse and the park as the length of the other leg.
So, using the Pythagorean theorem, we're suitable to calculate the period of the hypotenuse( the distance among the library and the courthouse)
library- to- park distance2 courthouse- to- park distance2 = library- to- courthouse distance2
[tex](14.5)^2 + (21.7)^2 = library-to-courthouse distance^2[/tex]
[tex]210.25 + 471.29 = library-to-courthouse distance^2[/tex]
[tex]681.54 = library-to-courthouse distance^2[/tex]
Taking the square root of both aspects, we get
library- to- courthouse distance[tex]= sqrt(681.54) \approx26.1[/tex]
Accordingly, the library is about 26.1 miles from the courthouse.
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PLEASE HELP I NEED IT QUICK!!!
Answer:
Step-by-step explanation:
There are 26 letters in the alphabet and 10 digits that you can use (0,1,2,3,4,5,6,7,8,9)
As a result, we can find the number of combinations by doing the following:
26 x 26 x 10 x 10 x 10
since the first two symbols are alphabets and the last three are digits. After doing the math you get
26 x 26 x 10 x 10 x 10 = 676000 => You can make a total of 676,000 PIN codes
During a workout, Kelly spent 10½ minutes and burned a total of 504 calories. How many calories did she burn per minute?\
Answer:
48 calories per (each) minute.
Step-by- Step
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Grace has 16 more shoes. Than mark gave grace 12 shoes. Mark then realized he has half as many shoes as grace. How many shoes does grace end up with?
Mark originally had 28 shoes.
Now we can use the equation for Grace's number of shoes to find her final count:
Grace = x + 16 = 28 + 16 = 44
So Grace ends up with 44 shoes.
Grace has 16 more shoes Mark. After Mark gave her 12 shoes, he realized has half as many shoes as Grace. What is the final number of shoes that Grace has?
Let's start by setting up an equation to represent the given information:
Let the number of shoes Mark has be represented by "x"
Grace has 16 more shoes than Mark:
Grace = x + 16
Mark gives Grace 12 shoes, so Grace now has:
Grace = x + 16 + 12 = x + 28
Mark realized he has half as many shoes as Grace:
x = 0.5(x + 28)
Simplifying this equation:
x = 0.5x + 14
0.5x = 14
x = 28
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The amount of money earned over a period of time is called
1. Asset
2. Fixed expense
3. Income
4. Liability
5. Net worth
6. Variable expense
The amount of money earned over a period of time is called 3. Income
Income refers to the money you receive from various sources such as salary, wages, investments, or any other means during a specific period of time.
Income is a fundamental concept in finance and accounting. It represents the inflow of money or economic benefits received by an individual, household, or organization.
It is typically measured and reported on a periodic basis, such as monthly, quarterly, or annually. Income can be derived from various sources, including salaries and wages, interest and dividends, rental income, profits from business activities, and capital gains.
It is an essential component in assessing an individual's or organization's financial health and is often used to calculate taxes, budgeting, and determining net worth. Understanding and effectively managing income is crucial for individuals and businesses to meet their financial goals and sustain their economic well-being.
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Sydney can row her canoe 6 miles upriver in the same amount of time she can row it 14 miles downriver. If the river is flowing at a rate of 2 mph, how fast can Sydney row a canoe in still water?
Sydney can row a canoe at a speed of 5 mph in still water.
Let x represent Sydney's speed in still water. When rowing upriver, her effective speed will be (x - 2) mph because she's going against the current, which flows at 2 mph. When rowing downriver, her effective speed will be (x + 2) mph, since she's going with the current.
According to the problem, the time it takes her to row 6 miles upriver is the same as the time it takes her to row 14 miles downriver. We can set up the equation using the formula time = distance / speed:
6 / (x - 2) = 14 / (x + 2)
To solve for x, first cross-multiply:
6(x + 2) = 14(x - 2)
Expand:
6x + 12 = 14x - 28
Now, rearrange and solve for x:
12 + 28 = 14x - 6x
40 = 8x
x = 5
So, Sydney can row a canoe at a speed of 5 mph in still water.
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Find perimeter of ABDE
Step-by-step explanation:
(10 x 6)/2 = 30 + 47 = 77
pls help
what is the volume
And total surface area
If the team takes on two additional players, one at 5 feet 5 inches and the other at 6 feet 7 inches, how is the median of the data set affected? A. The effect on the median of the players' heights cannot be determined. B. The median of the players' heights is decreased. C. The median of the players' heights is increased. D. The median of the players' heights is not affected
Answer: The median of the players' heights is not affected.
Step-by-step explanation: B
The median of the players' heights is increased.
we need to consider the current arrangement of heights and the positions
of the new players in relation to the existing players' heights.
If we assume that the heights of the players are sorted in ascending order,
adding two additional players can affect the median in the following ways:
If both new players have heights lower than the current median:
In this case, adding the new players would not change the median.
The median would remain the same because the new players would be
added below the existing median, and the position of the median would
not shift.
If one new player has a height lower than the current median and the other
has a height higher than the current median:
In this case, the median would be increased.
Adding a taller player would shift the median towards the higher end of the data set.
If both new players have heights higher than the current median:
In this case, the would be increased.
Both new players would be taller than the current median, causing the
median to shift towards the higher end of the data set.
Based on these possibilities, the answer is C.
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