<h2>
Answer:</h2><h2>
The height of the triangle = 4cm</h2>
Step-by-step explanation:
Given, area of the triangle = 10 
Let the height of the triangle be h cm
Given, the base b is 3 cm less than twice its height.
b = 2h - 3 ... (1)
By formula, area of the triangle =
bh .. (2)
substitute (1)in (2), we get
Area =
(2h-3) h
10 =
(2h-3) h
20 = 
- 20 = 0
solving the equation, we get x = 4, -2.5
The height of the triangle = 4cm
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
Using the Pythagorean theorem,
.. x^2 = 3^2 +3^2 = (3^2)*2
.. x = √((3^2)*2)
.. x = 3√2 . . . . . . . . matches selection (a)
_____
The hypotenuse of an isosceles right triangle is always √2 times the length of either leg. Since the legs are 3, the hypotenuse is 3√2. You only need to remember this fact to save a bunch of arithmetic.
Answer:
$8
Step-by-step explanation:
20% of 10 is 2 so 10-2=8
Answer:
first one
Step-by-step explanation:
Tracey bought 10 movies
some cost 13 and the others 16
Let x be the movies that cost 13 and y ones that cost 16
we can state that
since Tracey both ten
since the total price is 139
so the system is :
