Find the are of a triangle (picture provided)
Find the are of a triangle (picture provided) - 1

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

Use the Heron's formula for the area of the triangle:

A=√(p(p-a)(p-b)(p-c)),

where a, b, c are lengths of triangle's sides and p=(a+b+c)/(2).

Since a=11.5,\ b=13.7,\ c=12.2, then

p=(11.5+13.7+12.2)/(2)=18.7.

Hence,

A=√(18.7(18.7-11.5)(18.7-13.7)(18.7-12.2))=√(18.7\cdot 7.2\cdot 5\cdot 6.5)=\n \n=√(11\cdot 1.7\cdot 9\cdot 4\cdot 0.2\cdot 5\cdot 5\cdot 1.3)=30√(11\cdot 1.7\cdot 0.2\cdot 1.3)=30√(4.862)\approx 66.1\ un^2.

Answer 2
Answer:

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


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1. Given: 3(m-2) + 14 = 38Prove: m= 10please help it’s a proof

The graph shows a predicted population as a function of time.Which statement is true?
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As the number of years decreases, the population
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Answers

Answer: (As the number of years increases without bound, the population increases without bound.)

Hope I helped.

Answer:

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What is the area of circle if diameter is 6feet

Answers

Answer:

Area=πr²

=3.14×(6/2)²

=28.26 ft²

Step-by-step explanation:

Which trinomial is equivalent to 3(x-2)^2 - 2(x-1)

Answers

Answer:

3x^2-14x+14

Step-by-step explanation:

the expression we have is:

3(x-2)^2-2(x-1)

to solve we need to develop the square binomial

(x-2)^2

with the following formula:

(a-b)^2=a^2-2ab+b^2

So we have:

(x-2)^2=x^2-2*2x+2^2\n(x-2)^2=x^2-4x+4

and the expression now is:

3(x^2-4x+4)-2(x-1)

developing multiplications to remove parentheses:

3x^2-3*4x+3*4-2x+2*1\n3x^2-12x+12-2x+2

joining like terms:

3x^2-14x+14


This expression can be simplified so it becomes:

(3x^2 - 4) - (2x - 1)

3x^2 - 2x - 3

Ms. Cassidy is taking students to the movies. Each ticket costs $6. Ms. Cassidydecides that if she has any extra money left after buying tickets she will buy an
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.

Answers

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:

A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total charge was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?

Answers

I believe you are missing some of the question but heres what I think it is I think it is going to be 40+x=115 then solve from there

This question has two parts. First, answer Part A. Then, answer Part B.Part A
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 .

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Part B
Select the correct choices to complete the sentence.
b. Write a paragraph proof for your answer to part a.

Answers

Final answer:

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.

Explanation:

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.

Learn more about Midpoint formula here:

brainly.com/question/15085041

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