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Mathematics : asked on tangia
 16.11.2020

one leg of a right triangle is 5 more than the other leg the hypotenuse is one more than twice the size of the short leg find the dimension of the triangle

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09.07.2023, solved by verified expert
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Bibin (Bibi) P B
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Short leg be x

Perpendicular=P=xBase=B=x+5Hypotenuse=H=2x+1

Apply Pythagorean theorem

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

Take positive

one leg of a right triangle is 5 more than the, №18009840, 16.11.2020 21:07

P=5.1B=10.1H=11.2
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Mathematics
one leg of a right triangle is 5 more than the other leg the hypotenuse is one more than twice the size of the short leg find the dimension of the triangle
Step-by-step answer
P Answered by Master

Short leg be x

Perpendicular=P=xBase=B=x+5Hypotenuse=H=2x+1

Apply Pythagorean theorem

\\ \rm\Rrightarrow P^2+B^2=H^2

\\ \rm\Rrightarrow x^2+(x+5)¥2=(2x+1)^2

\\ \rm\Rrightarrow x^2+x^2+10x+25=4x^2+4x+1

\\ \rm\Rrightarrow 2x^2+10x+25=4x^2+4x+1

\\ \rm\Rrightarrow 4x^2-2x^2+4x-10x+1-25=0

\\ \rm\Rrightarrow 2x^2-6x-24=0

\\ \rm\Rrightarrow x^2-3x-12=0

\\ \rm\Rrightarrow x=\dfrac{3\pm\sqrt{9+48}}{2}

\\ \rm\Rrightarrow x=\dfrac{3\pm \sqrt{57}}{2}

\\ \rm\Rrightarrow x=\dfrac{3\pm 7.2}{2}

\\ \rm\Rrightarrow x=1.5\pm 3.6

Take positive

\\ \rm\Rrightarrow x=1.5+3.6=5.1

P=5.1B=10.1H=11.2
Mathematics
Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
If a salesperson makes 6% commission, how much would they make from a $1,800 sale?
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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