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kicyunya [14]
2 years ago
8

One leg of a right triangle has a length of 3. The other sides have lengths that are consecutive integers. Find these lengths.

Mathematics
1 answer:
Genrish500 [490]2 years ago
7 0

Answer:

Therefore other two sides of the triangle are 4 and 5.

Step-by-step explanation:

Given one leg of a right triangle has a length of 3

Let other sides of the triangle be x and x+1 [ since they are consecutive]

According to the problem,

3²+x²=(x+1)²

⇔9 + x²=x²+2x+1

⇔2x+1=9

⇔2x=9-1

⇔2x=8

⇔x=4

Therefore other two sides of the triangle are 4 and 5.

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3 years ago
Two stars are 7.644 x 1014 miles apart. Express this
vagabundo [1.1K]

Answer:

Multiply 1014 by 6.444 and you should get

Step-by-step explanation:

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8 0
2 years ago
The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x
Minchanka [31]

Answer: B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

Step-by-step explanation:

The options include:

A. Jessie earned a total commission of $800 in the first week and x dollars in the second week.

B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

C. Jessie sold 1 car in the first week, earning $800, and x number of cars in the second week, earning a total commission of $1,200.

D. Jessie earned a commission of $800 on each car in the first week and $400 on each car in the second week, selling x number of cars each week.

The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:

= (400 × 2) + 400(x)

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7 0
3 years ago
at the start of 2014 lucys house was worth 200000. the value of the house is increased by 5% every year. work out the value of h
Galina-37 [17]

Answer:

231525

Step-by-step explanation:

2014 = 200,000

Start of 2015

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Start of 2016

210 x 1.05 = 220,500


Start of 2017

220,000 x 1.05 = 231,525

8 0
3 years ago
What two steps are necessary to put this equation into standard form?
andrew-mc [135]
X² - 3x + 27 = 8x - 3     аdd 3 to both sides  ⇒
           + 3          + 3
---------------------------
x² - 3x + 30 = 8x         subtract 8x from both sides ⇒<span>
    - 8x          - 8x
--------------------------
x</span>² - 11x + 30 = 0    ←  <span>standard form
</span>

A. Add 3 to both sides and subtract 8x from both sides.
4 0
2 years ago
Read 2 more answers
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