3 years ago

What is the length of the long leg in the right triangle shown below

1 answer:

6 0

Answer:

If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

You might be interested in

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i

Nookie1986 [14]

The answer is 6 square feet

5 0

3 years ago

Read 2 more answers

What are the common denominators of 7/9 and 5/6

densk [106]

Answer:

18 and 54

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The explicit formula for the geometric sequence Negative one-ninth, one-third, negative 1, 3, negative 9, ellipsis is f (x) = ne

storchak [24]

Answer:

Common ratio, r=-3

Recursive Formula

$f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},$

Step-by-step explanation:

The formula for the geometric sequence: $-\dfrac{1}{9} ,\dfrac{1}{3}, -1,3,-9,\cdots$ is given as:

$f(x)=-\dfrac{1}{9}(-3)^{x-1}$

<u>Common Ratio</u>

Dividing the next terms by the previous terms, we obtain:

$\dfrac{1}{3} \div -\dfrac{1}{9} = \dfrac{1}{3} \times -9 =-3\\3 \div -1 =-3\\-9 \div 3 =-3$

Therefore, the common ratio of the sequence, r=-3

<u>Recursive Formula</u>

We observe that the next term, $f(n)$ is obtained by the multiplication of the previous term. f(n-1) by -3.

Therefore, a recursive formula for the sequence is:

$f(n)=-3f(n-1),$ $n\geq 2\\f(1)=-\dfrac{1}{9},$

3 0

3 years ago

Round each addend to the nearest ten thousand,and then find the estimated sum.?

Lyrx [107]

Round each addend to the nearsest ten thousand, and then find the estimated sum for 337,961 + 482,746 = 820,707

5 0

3 years ago

In a classroom,there are 12 girls and 8 boys.What fraction of the students in class are girls?What percent of the class are girl

tekilochka [14]

Answer:

Step-by-step explanation:

Add the total number of students:

Boys: 8, + Girls: 12 = 20 students

$\frac{12}{20} = \frac{6}{10}$ of the students are girls

6/10 also equates to 60%, which is the percent of girls in the class.

4 0

4 years ago