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GrogVix [38]
3 years ago
5

Write a number with the digit 8 in the tens place

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0
80, 81, 82, 83, 84, 85, 86, 87, 88, 89
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The sides of a triangle are x , x +1 , 2 x -1 and its area is x root of 10 .Find the value of x.
VARVARA [1.3K]


Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.

Substitute the known values into the formula:

x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}

Simplify:

<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>

<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>

<span>x√10=√[2x(x)(x-1)(1)]</span>

<span>x√10=√[2x²(x-1)]</span>

<span>x√10=√(2x³-2x²)</span>

<span>10x²=2x³-2x²</span>

<span>2x³-12x²=0</span>

<span>2x²(x-6)=0</span>

<span>2x²=0 or x-6=0</span>

<span>x=0 or x=6</span>

<span>Therefore, x=6 (you can't have a length of 0).</span>

6 0
3 years ago
Please tell me the answer for both
Anna007 [38]
Answer: Number one is C and number two is B
8 0
3 years ago
Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

5 0
3 years ago
Which model shows the correct factorization of x^2 + 2x – 8?
Musya8 [376]

Answer:

d amos annabell_aaaa

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A company’s sales decreased 5% this year to $6,585. What were their sales last year?
Feliz [49]

Answer:

$6932

Step-by-step explanation:

Let last year's sales = x.  Since there was a decrease of 5%, that means this year's sales are 95% of last year's sales.

So, .95x = 6585

x = 6932 to the nearest dollar

5 0
2 years ago
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