Answer:
See below for an explanation
Step-by-step explanation:
I'm unsure of your answer choices, so I'll show you how to solve for the remainder of the whole triangle:
Since we are given a hypotenuse of 5 and a side length of 4 which is adjacent to ∅, the trig function to solve for ∅ would be cosine because cos∅=adjacent/hypotenuse (SOHCAHTOA). This means cos∅=4/5 and taking the arccos (the inverse of cosine aka. cos^-1) of both sides gets us ∅=36.87°
Side AC can be solved by using the Pythagorean Theorem since a²+b²=c² can be turned into 4²+b²=5². We would then have 16+b²=25 which is also b²=9, thus taking the square root of both sides gives us b=3 (since distance is positive). Thus, side AC has a length of 3 units.
∠A can be found by using the Triangle Angle-Sum Theorem. Since all the interior angles of a triangle must add up to 180°, then ∠A+∠B+∠C=180°. We know that since ∠B=36.87° and ∠C=90°, then we have the equation ∠A+36.87°+90°=180°. Combining like terms on the left side gets us ∠A+126.87°=180° and subtracting on both sides get us ∠A=53.13°
<u>Final sides and angles of the triangle:</u>
∠A=53.13°
∠B=36.87°
∠C=90°
BC=4
BA=5
AC=3
Answer:
Step-by-step explanation:
point-slope equation of the line: y+1 = -(x-3)
rearrange to solve for y:
y+1 = -x+3
y = -x + 2 slope-intercept form
3x = 72 /3
X = 24
X^3 = 72
X = (72)^(1/3)
X= 4.160167646
2 * (48 + 52) = 200
The perimeter of the parallelogram is 200!
Answer:
no solutions
Step-by-step explanation:
4 + 5m = 4m + 1 + m <em>combine like terms</em>
4 + 5m = 5m + 1 <em>subtract 5m from each side</em>
4 = 1
4 can never equal 1, so no value of m would allow the equation to be correct
