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jok3333 [9.3K]
3 years ago
7

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

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What is the solution to 2x-8&lt;12?<br> x&lt;2<br> x&lt;8<br> x&lt;10<br> x&lt;40
maw [93]
I believe the answer is x&it;10 if it’s incorrect i’m so sorry
4 0
3 years ago
How do i calculate? All the way to s_75. It’s so long
mina [271]

Answer:

  -675

Step-by-step explanation:

The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.

\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

  75(-9) = -675

7 0
3 years ago
If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1
Aleksandr [31]

Answer:

B. s=\dfrac{1}{4}\times420

Step-by-step explanation:

Total number of students surveyed = 420

Of which only \dfrac{1}{4} prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105

The number of students that prefer rap is 105

So the equation is s=\dfrac{1}{4}\times420.

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Consider the equation
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