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3 years ago

Use Heron's Formula to find the area of triangle ABC. Round your answer to the nearest whole number.

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

Step-by-step explanation:

use herons formula

√s(s-a)(s-b)(s-c)

where s is the semi perimeter

S=20

and a,b,c are sides of triangle

=√20(20-17)(20-9)(20-14)

=√20.3.11.6

=62.92

nearest whole number is 63

option B is correct

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Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 20

m_a_m_a [10]

Answer:

$\text{Net accrual income}=\$31,600$

Step-by-step explanation:

We have been given that Marigold Industries collected $104,000 from customers in 2019. Of the amount collected, $24,400 was for services performed in 2018. In addition, Marigold performed services worth $39,000 in 2019, which will not be collected until 2020.

Let us find revenue earned in 2019 by subtracting revenue earned from 2018 and adding revenue earned in 2019 to total revenue as:

$\text{Revenue in 2019}=\$104,000-\$24,400+\$39,000$

$\text{Revenue in 2019}=\$118,600$

Marigold Industries also paid $73,900 for expenses in 2019. Of the amount paid, $29,100 was for expenses incurred on account in 2018. In addition, Marigold incurred $42,200 of expenses in 2019, which will not be paid until 2020.

Now, we will find expenses in 2019 by subtracting expenses in 2018 and adding expenses in 2019 to total expenses as:

$\text{Expenses in 2019}=\$73,900-\$29,100+\$42,200$

$\text{Expenses in 2019}=\$87,000$

To find accrual net-income, we will subtract$87,000 from $118,600 as:

$\text{Net accrual income}=\$118,600-\$87,000$

$\text{Net accrual income}=\$31,600$

Therefore, the net accrual income for 2019 would be $31,600.

5 0

2 years ago

Use the functions f(x) and g(x) to answer the question. F(x)=x²-16; g(x)=x+4

AnnZ [28]

(x^2) - 16 / x+4 = (x-4)(x+4) / (x+4) = x-4, x not equal to -4

D is the answer.

7 0

3 years ago

In every bar graph , line graph , or scatter plot , the vertical axis should include the following

alexgriva [62]

It should include zero

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3 years ago

Here are some values of sequence Q. Write a recursive definition for the sequence.

Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0

3 years ago

The sum of five consecutive numbers is -75. Which number is the least of these five numbers?

Ivan

Hello! I can help you with this! Do -75/5 to get -15. -15 will be your middle number. So for consecutive integers, -13 + -14 + -15 + -16 + -17 = 75. Those are five consecutive integers that have a sum of 75. The lowest of 5 integers is -17, because it’s the smallest of them all and the furthest to the left of the number line. A line further to the left of the number line means it’s smaller. Therefore, the rest of the five integers is -17.

6 0

3 years ago

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