How do you do 5/7 / 11/3
2 answers:
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Answer:
x = 4
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 3)² + (4(x + 2))² = 25² ← expand parenthesis on left side
x² + 6x + 9 + 16(x+ 2)² = 625
x² + 6x + 9 + 16(x² + 4x + 4) = 625
x² + 6x + 9 + 16x² + 64x + 64 = 625 ← simplify left side
17x² + 70x + 73 = 625 ( subtract 625 from both sides )
17x² + 70x - 552 = 0 ← in standard form
with a = 17, b = 70, c = - 552
Using the quadratic formula to solve for x
x = ( - 70 ± ) / 34
= ( - 70 ± ) / 34
= - 70 ± ) / 34
= - 70 ± 206 ) / 34
x = = - 8.1176....
or x = = 4
However, x > 0 ⇒ x = 4
Hence
x + 3 = 4 + 3 = 7 and
4(4 + 2) = 24
The triangle is a 7- 24- 25 right triangle
The product of 8 and 5/7 is 5.7
<u>Step-by-step explanation:</u>
The given product is .
<u>In the product, two terms are given :</u>
- The first term 8 is a whole number.
- The second term 5/7 is a fraction.
1) So, to find the product of the first term and the second term, one method is to simplify the fraction into decimal number and then perform multiplication operation.
2) Either you can multiply the two terms in the first step and then the division operation is performed at the final step.
<u>First method :</u>
<u><em>Step 1 :</em></u> Convert the fraction into decimal
⇒ 5/7 = 0.71
<u><em>Step 2 :</em></u> Multiply the result with the other term.
⇒ 8 × 0.71
⇒ 5.68 (approximately 5.7)
<u>Second method :</u>
<u><em>Step 1 :</em></u> Multiply both the terms
⇒ 8 ×(5/7) = 40/7
<u><em>Step 2 :</em></u> divide 40 by 7
⇒ 40÷ 7 = 5.7
Therefore, the product of 8 and 5/7 is 5.7