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3 years ago

Select three side lengths, in centimeters (cm), that can form a right triangle. Use the Pythagorean Theorem.

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

Answer:

Hey there!

You can make a right triangle by the sides 6, 8, and 10. The most famous pythagorean triplet is the 3, 4, 5 triangle. Increasing the size of this triangle by a scale factor of 2 makes the sides 6, 8, and 10.

Hope this helps :)

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You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation is 0.2 pounds of food, th

Fynjy0 [20]

Answer: $53.95

Step-by-step explanation:

Given: $\mu=0.75$ pounds

$\sigma= 0.2$ pounds

n= 50

Two tailed critical z-value for 90% confidence level = 1.645

Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .

z-score = $\dfrac{x-\mu}{\sigma}$ $=\dfrac{x-0.75}{0.2}$

Then, $\dfrac{x-0.75}{0.2}=1.645$

$x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079$

Foe 50 students, total amount of food = 1.079 x 50 = $53.95

hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.

7 0

3 years ago

PLEASE I NEED HELP ASAP!!!?

Slav-nsk [51]

Answer:

11√3-7√6

im good at these, just hit me up if you need more help ;)

5 0

2 years ago

The length of a classroom is 34 feet. What is the measurement in yards and feet?

Bezzdna [24]

The first thing you would do is divide 34 by 3, which is how many feet are in a yard, After you get your quotient, you will have a remainder, which will be your feet! Let me know if you have any questions!

8 0

2 years ago

PLS HELP DUE IN 1 HOUR <br><br> write the expression using positive exponents <br> 1/3^-5

drek231 [11]

<h3>Answer: 3^5</h3>

Explanation:

The rule used is $\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}$

That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.

So,

$\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5$

4 0

2 years ago

What is 04.151515... into a fraction

Sergio039 [100]

Answer:

$\displaystyle 4.\overline{15} = \frac{137}{33}$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)