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:
60% of people have a cat.
Step-by-step explanation:
That would be 54/90 times 100%, or 60%
60% of people have a cat.
Answer: x=90° y=43°
Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.
Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
I think the answer is 35/2 or 17.5. Hopefully this helped.
