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Anton [14]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
Hello! i'm not quite sure if this is the answer, but i believe it would be 76. I'm not that good with angles, but i'm trying my best to help! I hope the answer helped you! i'm sorry if i get it wrong though. If you have any questions, pm me! thanks!
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I ate 7/8 of birthday cake.how much of cake has not been eaten?
Romashka [77]
1/8 of the cake has not been eaten.
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3 years ago
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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
Decompose these fractions 3/5 7/10
saveliy_v [14]
I think 4/5 because if you multiply you get that!!!!!!
4 0
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Brainliest offered<br><br> {[(3x4)+18]+[(6x7)-27]}divided by 5<br> show work
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3t3t3 =9 5t5t5 = 15 add to of the products and get 105
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What is the apr for a $585 tablet with 12 payments of $50.81
JulsSmile [24]

Answer:

the answer is 4%

Step-by-step explanation:

585/12=48.75

50.81-48.74=2.06

now 2.06 that's the money from interest rate

so now 2.06/50.81=0.04

so the answer is 4%

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