Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Answer: 10
Explanation:
20 ÷ (4- (10-8))
First off, you work your way outward. You start the furthest in, then head your way out. (10 - 8) is the furthest in, and 10 - 8 = 2. So now your equation looks like this:
20 ÷ (4 - 2)
Next, you do the (4 - 2) which equals 2. So now, the equation is this:
20 ÷ 2
So you finish it up with 20 ÷ 2 which equals 10.
Hope I made sense! :D
Recall the half-angle identity:
So in order to find
, we only need to know the value of
. But there are two possible values. To decide which to take, we use the given information: we know that
lies in quadrant III, which means
, so
, which places
in quadrant II. In this quadrant, the sine of angle is positive, and so
is an angle of a ray whose terminal point,
lies on the circle
. The
-coordinate is all we need to know in order to find that
. So,
Answer:
Step-by-step explanations think :
Compounded continuously: A=P*e^(rt)
A=6000*e^(0.07*15)
use your calculator: A=17145.90
