Answer:
-1, 0, 1, 2, 3
Step-by-step explanation:
Solve two equations:
-5 < 2n-1 => -4 < 2n => n > -2
and
2n-1 ≤ 5 => 2n ≤ 6 => n ≤ 3
so
-2 < n ≤ 3
then enumerate the possible values for n
-1, 0, 1, 2, 3
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
Answer:
Slope: 0.7 Y-Intercept: 9.8
Step-by-step explanation:
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
Answer:
6
Step-by-step explanation:
3(x+2) = 4x
3x + 6 = 4x <- you times the x and 2 that is inside of the parentheses by the 3 that is on the outside
3x - 3x + 6 = 4x - 3x <- you have to subtract the 3x from the left side and you have to do the same on the right so you can get the numbers alone.
6 = x
