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Zielflug [23.3K]
3 years ago
7

Can a object that measures 1.8 metres by 1.2 metres fit in a gap that measure 1 metre by 0.75 metres

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0
No it cannot because 1.8 and 1.2 are both larger than 0.75 so there is no physical way for it to fit
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When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
Christy drove 135 miles in 2.5 hours what was her average speed in miles per hour
vlada-n [284]
Her avarage speed in miles per hour is 54 
How i solved this was by 135/2.5 and i got 54
I hope this helps!
5 0
3 years ago
Help me out please and thanks
omeli [17]

Answer:

Step-by-step explanation:

If you are trying to <u>solve the system of equations</u> then its

(x,y)=(-1,2)

If you are trying to <u>rewrite the system of equations</u> then its

x+6y=11

x-2y=-5

3 0
2 years ago
Sharon borrowed $750 at 12% for one year. She paid a $20 processing fee. How much will she pay in interest?
Hunter-Best [27]

Answer:

$90

Step-by-step explanation:

The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.

Annual Rate of interest offered to Sharon is 12%

Time interval for the loan transaction is 1 year.

So the interest for 1 year is given by \[Principal * Rate * Year /100\]

\[750 * 12 * 1 /100\] = $90

So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.

8 0
2 years ago
Find the measure of TRS
nignag [31]

Answer:  The sum of the measures of the angle inside of a triangle add up to 180 degrees. That's all we're doing over here. And so let's see if we can simplify this a little bit. So these two guys-- 90 plus 90's going to be 180, so you get 180 minus theta …

Author: Sal Khan

Step-by-step explanation:

4 0
3 years ago
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