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alex41 [277]
3 years ago
13

In the given right triangle, find the missing length to the nearest tenth.

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer:

D. 25 ft.

Step-by-step explanation:

To find the missing length of any right triangle, you can use the Pythagorean Theorem (A^2+B^2=C^2) to solve. A and B represent the legs (which we do have) and C represents the hypotenuse (which we are trying to find). Insert our known values into the theorem, and we will get 24^2+7^2=C^2. Now we just do the basic math for the numbers that we have (24^2 is 576<em>;</em><em> </em>7^2 is 49), and that added up would equal to 625. Now, since C is being squared on the other side, we now have to root both sides. On the side where C is, the radical and the square will cancel out each other, leaving us with just C. But, on the side where 625 is, it should root to 25. Since C is by itself now, the number on the other side (25) will be our answer. Therefore, the missing side is 25 feet long.

sp2606 [1]3 years ago
4 0

Answer:

25 ft

Step-by-step explanation:

a² + b² = c²

7² + 24² = c²

49 + 576 = c²

c² = 625

c = √625

c= 25

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Define the mathematical base <br>And give an example
lyudmila [28]

Answer:

Answer below

Step-by-step explanation:

A base is the number of digits in a number system. For example in the decimal number system we use the 10 digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ). So it has the base 10.

HOPE IT HELPED

6 0
3 years ago
The baby yoda is on sale for $14.00. This 14.5% off his regular price. What is his regular price?
Cloud [144]

Answer:

$16.03

Step-by-step explanation:

7 0
3 years ago
21.) A rectangle has an area of 36 square units. As the length and width change, what do you know about their
natima [27]

Answer:

the length and the width are inversely proportional to each other (l=\frac{36}{w} or w=\frac{36}{l})

Step-by-step explanation:

Let

l units = length of the rectangle,

w units = width of the rectangle.

The area of the rectangle is

\text{Area}=\text{Length}\cdot \text{Width}

A rectangle has an area of 36 square units, so

l\cdot w=36

Complete the table with some values of l and w that fit the previous formula:

\begin{array}{ccc}\text{Length}&\text{Width}&\text{Area}\\ \\36&1&36\cdot 1=36\ un^2.\\18&2&18\cdot 2=36 \ un^2.\\12&3&12\cdot 3=36\ un^2.\\ 9&4&9\cdot 4=36\ un^2.\\l&w&l\cdot w=36 \ un^2.\end{array}

As you can see, the length and the width are inversely proportional to each other (l=\frac{36}{w} or w=\frac{36}{l})

4 0
3 years ago
Please help! <br> Use the Law of Cosines to find the values of x and y.
Romashka [77]

Answer:

x = 8.39

y = 55.2

Step-by-step explanation:

9² + 1² - 2(9)(1)cos(50) = x²

x = 8.39

9/sin(y) = x/sin(50)

sin(y) = 0.8215200692

y = 55.23724927

8 0
3 years ago
Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
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