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Bond [772]
3 years ago
5

If the square root of 61 is the longest side length in the triangle and the shorter sides are x and x+1, find the value of x tha

t makes the triangle above a right triangle. Write your answer in simplest radical form.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

  x = 5

Step-by-step explanation:

You want to find x such that ...

  x^2 +(x +1)^2 = 61

  2x^2 +2x -60 = 0 . . . . . simplify, subtract 61

  x^2 +x -30 = 0 . . . . . . . divide by 2

  (x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.

The relevant solution is x = 5.

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It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petro
Simora [160]

The question is incomplete. Here is the complete question

It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved

Answer:

(I) 11/70

(II) 1/10

Step-by-step explanation:

Metro trains contain 330,000 tons of CNG

3300 tons of diesel was saved

21000 tons of petrol was saved at the end of 2007

(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows

= 3300/21000

= 11/70

(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows

= 3300/33000

= 1/10

5 0
3 years ago
200 points if you help me? 24 hours is equal to one ____ of the Earth
Trava [24]

Answer:

rotation

Step-by-step explanation:

because the earth rotates

8 0
3 years ago
Read 2 more answers
Simplify the expression
anygoal [31]
Your answer would be -11 :) 
5 0
3 years ago
Read 2 more answers
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instr
stepladder [879]

Answer:

Laurie's maximum depth can be represented using the expressions :

(20 × 3) = 60

(3 × 4 × 5) = 60

Step-by-step explanation:

Each depth level at which ears are checked = 5 feets

Each Depth level at which instruments are checked = 20 feets

For Laurie to check her instrument ;

Number of times ears are checked = 20/5 = 4 times

This means that for Laurie to have checked her instrument 3 times :

(4 × 3 × 5) = 60 feets

Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets

4 0
2 years ago
Read 2 more answers
Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio
ANTONII [103]

The missing options are:

A.\ f(20) =5,000

B.\ f(5000) = 20

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

A.\ f(20) =5,000

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  (x,y)

So, when x = 20 and y = 5000 ----- given

(x,y) implies that:

(x,y) = (20,5000)

We got (20,5000) by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

y = f(x)

Substitute values for x and y

5000 = f(20)

Reorder

f(20) = 5000

<em></em>

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

3 0
3 years ago
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