Ask question

Ask question

All categories

3 years ago

15

1. The length of the hypotenuse in a right triangle whose other two sides have lengths 3 and 4 2. The value of the Boolean expre

ssion that evaluates whether the length of the above hypotenuse is 5 3. The area of a disk of radius 10 4. The value of the Boolean expression that checks whether a point with coordinates (5, 5) is inside a circle with center (0,0) and radius 7.

1 answer:

nadya68 [22]3 years ago

6 0

Answer:

For the hypotenus, the value is false

Step-by-step explanation:

For the point inside a circle = d = $\sqrt{(xp -xc)^{2} + (yp -yc)^{2} }$ =

$\sqrt{(5-0)^{2} + (5-0)^{2} } = \sqrt{25 + 25} = 7.071$

Since 7.071 > 7, then the boolean answer is false

You might be interested in

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

Read 2 more answers

Pls help i want it now

larisa86 [58]

Answer:

18kg is the correct answer

5 0

2 years ago

What 3.01 as a mixed number

satela [25.4K]

It would be 3 and 1 one hundredth.

3 0

3 years ago

Read 2 more answers

In parallelogram ABCD if m

balu736 [363]

Answer:

no idea what the answer is

6 0

2 years ago

Read 2 more answers

A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladd

GenaCL600 [577]

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

$a^2 + b^2 = c^2$

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

$a^2 + 7^2 = 25^2$

------------------------

Solve.

$a^2 + 49 = 625$

$a^2 -49 = 625 - 49$

$a^2 = 576$

$\sqrt{a^2} = \sqrt{576}$

$a = 24$

8 0

3 years ago