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Black_prince [1.1K]
2 years ago
12

I need help ASAP plz

Mathematics
2 answers:
Sladkaya [172]2 years ago
4 0
This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in
Anit [1.1K]2 years ago
3 0

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

16 {}^{2}   =  {x}^{2}  + 7 {}^{2}  \\ 256 = x {}^{2}  + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x =  \sqrt{207 }  \\ x = 14.387 \\ x = 14.4

after rounding the decimal a= 14.4 in

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Find the solution for this system of equations. 2x − 3y = 2 x = 6y − 5<br><br> x =<br> y =
Murljashka [212]
X=0
y=5/9
Solution;
2x-3y=2x=6y-5
-6y-3y=2x-2x=-5
-9y=0=-5
x=0
-9y=-5
y=5/9
6 0
3 years ago
Read 2 more answers
Can someone help on this question plz
LUCKY_DIMON [66]

Answer:

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7 0
3 years ago
Patrick is buying a new pair of shoes. the expression shown below represents the sales tax on the price of the shoes,s.
Murrr4er [49]

Answer:

$=s*1.06  (s+s*.06)

Step-by-step explanation:

You need to multiply be the cost of the shoes (1*s) and the cost of tax (.06) which is the same as multiplying by 1.06

7 0
3 years ago
How to write three hundred thousand, five thousand sixty three in standard form
anygoal [31]
300,000 <-- three hundred thousand

5,000 <-- five thousand

63 <-- sixty three

300,000
    5,000
         63

305,063

305,063 is your answer.

Hope this helps.

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
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