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oksian1 [2.3K]
3 years ago
15

Find the value of x in the triangle shown below.

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

A

Step-by-step explanation:

{8}^{2}  =  {x}^{2}  +  { 3}^{2}  \\  {x}^{2}  =  {8}^{2}  -  {3}^{2}  \\  {x}^{2}  = 64 - 9 \\ x =  \sqrt{55}  = 7.416

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While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price
shepuryov [24]

Answer:

$4.34

Step-by-step explanation:

Given the information:

  • The original price: $5
  • Discount : 20%
  • Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

  • The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

4 0
3 years ago
Which two ordered pairs represent point a and point b on the graph ?
Mandarinka [93]

Answer:

2, 3 and 7,8

Step-by-step explanation:

8 0
3 years ago
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
deff fn [24]

Answer:

727.29 − 248.50 + x ≥ 500 727.29 − 248.50 − x ≤ 500. Hope this helps!

Step-by-step explanation:

5 0
3 years ago
Complete the angle addition postulate for the following angle
aev [14]

Answer: AOB

This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.

5 0
3 years ago
The length of a log of wood is 90 in. How many cuts do you need to make to obtain
Ilia_Sergeevich [38]

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

\rm S_n = \dfrac{n(n+1)}{2}

\rm 90 = \dfrac{n(n+1)}{2}

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

6 0
2 years ago
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