Answer:
Longer Leg = 5
Shorter Leg = 144
Hypotenuse = 169
Step-by-step explanation:
Answer:
g(x), and the maximum is 5
Step-by-step explanation:
for given function f(x), the maximum can be seen from the shown graph i.e. 2
But for the function g(x), maximum needs to be calculated.
Given function :
g (x) = 3 cos 1/4 (x + x/3) + 2
let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)
g(x)= 3 cos1/4(0 + 0) +2
= 3cos0 +2
= 3(1) +2
= 3 +2
= 5 !
Answer:
22
Step-by-step explanation:
5+12-2+7
17-2+7
15+7
22
Answer:
BD = <u>1</u> unit
AD = <u>1</u> unit
AB = <u>1.6</u> units
AC = <u>1.6</u> units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
2,3,5,9,17 what’s the pattern?
The pattern is multiply by 2 then subtract 1
2 x 2 - 1 = 4 - 1 = 3
3 x 2 - 1 = 6 - 1 = 5
5 x 2 - 1 = 10 - 1 = 9
9 x 2 - 1 = 18 - 1 = 17
17 x 2 - 1 = 34 - 1 = 33
33 x 2 - 1 = 66 - 1 = 65
65 x 2 - 1 = 130 - 1 = 129