Answer:
B
Step-by-step explanation:
Use the Heron's formula for the area of the triangle:
where a, b, c are lengths of triangle's sides and
Since then
Hence,
Answer:
Choice b is correct.
Step-by-step explanation:
We have given the sides of triangle.
a = 11.5, b = 13.7 and c = 12.2
We have to find the area of the triangle.
The formula to find the area of the triangle when three sides are given is:
A = √p(p-a)(p-b)(p-c)
where p = (a+b+c) / 2
p = (11.5+13.5+12.2)/2
p = 18.7
A = √18.7(18.7-11.5)(18.7-13,7)(18.5-12.2)
A = 30√4.862 units²
A≈ 66.1 units²
As the number of years increases without bound, the
population decreases without bound.
As the number of years decreases, the population
increases without bound.
As the number of years increases without bound, the
population increases without bound.
There is no limit to the population, but there is a limit
to the number of months.
Answer: (As the number of years increases without bound, the population increases without bound.)
Hope I helped.
Answer:
The answer is C. As the number of years increases without bound, the population increases without bound.
Answer:
Area=πr²
=3.14×(6/2)²
=28.26 ft²
Step-by-step explanation:
Answer:
Step-by-step explanation:
the expression we have is:
to solve we need to develop the square binomial
with the following formula:
So we have:
and the expression now is:
developing multiplications to remove parentheses:
joining like terms:
This expression can be simplified so it becomes:
(3x^2 - 4) - (2x - 1)
3x^2 - 2x - 3
extra-large popcorn that costs $5. If Ms. Cassidy has $395 to spend on tickets,
will she have any leftover money to buy the extra-large popcorn? Explain why or
why not on the lines below.
Answer: 64 tickets with $5 left for the extra-large popcorn.
Explanation:
To solve this, we can divide $395 by 6. If the remainder is greater than or equal to 5, she can afford the popcorn. If not, she won't be able to. See attached for the long division. This shows she can buy 65 tickets with $5 left for the popcorn.
Answer:
To determine whether Ms. Cassidy will have any leftover money to buy the extra-large popcorn, we need to calculate the total cost of the movie tickets and compare it to the amount of money she has.
Let's assume Ms. Cassidy buys 'x' tickets. Each ticket costs $6, so the total cost of the tickets can be calculated as 6x.
Given that Ms. Cassidy has $395 to spend on tickets, we can set up an equation:
6x = 395
Now let's solve for 'x':
x = 395 / 6 ≈ 65.83
Since we cannot have a fraction of a ticket, we can round down to the nearest whole number:
x = 65
So Ms. Cassidy can buy a maximum of 65 tickets with $395.
Now, let's calculate the total cost of 65 tickets:
Total cost = 6 * 65 = $390
Since the total cost of the tickets is $390, which is less than the $395 Ms. Cassidy has, she will have some money leftover.
The question states that if she has any extra money left after buying tickets, Ms. Cassidy will buy an extra-large popcorn that costs $5. Since she has $5 left after buying the tickets, she will be able to buy the extra-large popcorn.
Therefore, Ms. Cassidy will have enough money ($5) to buy the extra-large popcorn after purchasing the tickets.
Step-by-step explanation:
Fill in the blank question.
REASONING The figure shows a straight portion of the course for a city marathon. The water station W is located at the midpoint of AB .
a. What is the length of the course from point A to point W?
Part B
Select the correct choices to complete the sentence.
b. Write a paragraph proof for your answer to part a.
The length of the course from point A to point W can be found using the midpoint formula. To write a paragraph proof, mention the given information and use the midpoint formula to calculate the length.
Part A:
To find the length of the course from point A to point W, we need to determine the distance between these two points. Since W is the midpoint of segment AB, we can use the midpoint formula to find the coordinates of W. If the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the coordinates of W would be the averages of x1 and x2, and y1 and y2.
Part B:
To write a paragraph proof for Part A, we can state the given information and use the midpoint formula to show how we calculated the length of the course from point A to point W. We can mention the formula for the midpoint and use the given information to substitute the values, then simplify the expression to find the length.
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