Beth has already jogged 3 miles. She plans to jog less than 12 miles. Which inequality can be

If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, how far up the wall

Dvinal [7]

Answer:

29.05 ft

Step-by-step explanation:

Using the concept of pythagoras theorem, here we have the base and hypotenuse given hence we need to find the third dimension, assuming the wall is perfectly straight and forms a right angle with the bsse of the ladder. Here, $c^{2}=a^{2}+b^{2}$ and making a the subject of the formula then $a=\sqrt {c^{2}-b^{2}}$ and substituting 30 ft for c and 0.25*30=7.5 ft for b then $a=\sqrt {30^{2}-7.5^{2}}=\sqrt {843.75}=29.047375096555626\approx 29.05 ft$

7 0

3 years ago

I'll give brainliest<br><br> reflect (-4,4) in the x-axis

harina [27]

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

6 0

3 years ago

Can somone help me answer 4.5x92.6 please help...

kaheart [24]

Answer:

416.7

Step-by-step explanation:

7 0

3 years ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

When your high school teacher says “math” what’s your first reaction?

notsponge [240]

Answer:

"I'm not gonna cry because it's too hard I'm not gonna cry because it's too hard I'm not gonna cry because it's too hard I'm not gonna cry because it's too hard I'm not gonna cry because it's too hard.." Thirty minutes in: ಥ_ಥ

5 0

4 years ago

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