Answer: AC=12 cm
Step-by-step explanation:
To solve this problem you must apply the law of sines, as you can see below:
Where:
a=13
A=85.2°
B=71.6°
Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
Answer:
10 to 35
Step-by-step explanation:
Answer:
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Step-by-step explanation:
−1.3 ≥ 2.9 − 0.6r
Rewrite so r is on the left side of the inequality.
2.9 − 0.6r ≤ −1.3
Move all terms not containing r to the right side of the inequality.
Subtract 2.9 from both sides of the inequality.
−0.6r ≤ −1.3 − 2.9
Subtract 2.9 from −1.3.
−0.6r ≤ −4.2
Divide each term by −0.6 and simplify.
Divide each term in −0.6r ≤ −4.2 by −0.6. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
−0.6r
/−0.6 ≥ −4.2
/−0.6
Cancel the common factor of −0.6.
−4.2
r ≥ ______
−0.6
Divide −4.2 by −0.6.
r ≥ 7
The result can be shown in multiple forms.
Inequality Form:
r ≥ 7
Interval Notation:
[7, ∞)
Answer:
there was not enough information provided because Maddison does not know what the original size is.
Step-by-step explanation:
