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exis [7]
1 year ago
13

The triangle shown below has an area of 24 units. 10, 8, x. Find the missing length.

Mathematics
1 answer:
Finger [1]1 year ago
8 0

Answer:

51

Step-by-step explanation:

a squared+2 squred=c

7×7- 10×10= 49-100= 51

c= 51

find square root of it 51= 7.14

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Which quadratic rule represents the data in the table?
Vaselesa [24]

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

7 0
3 years ago
1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
tankabanditka [31]

Answer: $12,000

Step-by-step explanation:

Miguel makes 6% on every sale he makes and wants to make $600 in commissions.

The amount he needs to sell is therefore the amount that has $600 as 5% of it.

Assume the amount of insurance needed is x.

x * 5% = 600

x = 600 / 5%

x = $12,000

4 0
3 years ago
HURRY
Alex73 [517]
$3, $1, $5, $2, $3, $9, $1 = $24 - $1 = $23 - $1 = $22.

$22 is the estimation of the bill when all of the amounts are rounded to the nearest dollar. The estimation is greater than the total bill which is 23 cents less than the estimation. The total on the register is reasonable and accurate.
3 0
3 years ago
-10 +log3 (n+3)= -10
Rufina [12.5K]

Answer:

n= -3 or in exact form: N= - log27/log3

Step-by-step explanation:

8 0
3 years ago
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