Answer:
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is 25
With ∠ 31 degrees as the reference angle,
the adjacent side of the right angle triangle is the unknown side.
the opposite side of the right angle triangle is x.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 31 = x/25
x = 25Sin31
x = 25 × 0.5150
x = 12.875
The model shows that we are to arrange the factors based on the terms in the square box. The factored form is(6x+5)(x-4)
<h3>Factorizing quadratic equations</h3>
Factorization is a way of simplify. Given the equation 6x² - 19x - 20
Factorize
6x² - 19x - 20
6x² - 24x + 5x- 20
6x(x-4)+5(x-4)
(6x+5)(x-4)
We are to arrange each term of the factors in the square box
Learn more on factoring here: brainly.com/question/24734894
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Answer:
7.8 cm and 25.3 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² + 7² = 10.5²
?² + 49 = 110.25 ( subtract 49 from both sides )
?² = 61.25 ( take the square root of both sides )
? = 
≈ 7.8 cm ( to 1 dec. place )
Then
P = 10.5 + 7 + 7.8 = 25.3 cm
Answer should be A.
----hope it helps--------
