Answer: The whole journey is 3,250km.
Step-by-step explanation:
20% = 650km
20 * 5 = 100%
650 * 5 = 3,250km
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>We can also write it as:</u>
x-intercept is the point where y = 0
Put y = 0 in the above equation
![0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=0%3Dx%5E2-7%5C%5C%5C%5CAdd%20%5C%207%20%5C%20to%20%5C%20both%5C%20sides%5C%5C%5C%5C7%20%3D%20x%5E2%5C%5C%5C%5CTake%20%5C%20sqrt%20%5C%20on%20%5C%20both%20%5C%20sides%5C%5C%5C%5C%5Cpm%20%5Csqrt%7B7%7D%20%3Dx%5C%5C%5C%5Cx%20%3D%20%5Cpm%20%5Csqrt%7B7%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Since 1 < x < 5, adding each side by a, where a is negative, gives
a > ax > 5a
and adding b to each side gives
a + b > ax + b > 5a + b
or
5a + b < ax + b < a + b
Since 7 < f(x) < 23, it follows that
5a + b = 7
a + b = 23
Solve for a by eliminating b :
(5a + b) - (a + b) = 7 - 23
4a = -16
a = -4
Solve for b :
-4 + b = 23
b = 27
Answer: 81°
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
