0.3597122302158273 is the answer
Answer:
8
Step-by-step explanation:
To find the answer to these problems you can work backwards
12-4=8
Answer:
32√5
Step-by-step explanation:
We have the right triangles PQA and PQB as well as the given right triangle QAB.
cot(PAQ) = 2/5 = QA/PQ
cot(PBQ) = 3/5 = QB/PQ
cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3
cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB
QA / QB = 2/3
QA = (2/3) QB
QB = (3/2) QA
By the Pythagorean Theorem we have:
(QA)² + 32² = (QB)²
(QA)² + 32² = (3/2 QA)²
(QA)² + 1024 = (9/4) (QA)²
(5/4) (QA)² = 1024
(QA)² = (4/5)1024 = 4096/5
QA = 64/√5
Solve for PQ.
cot(PAQ) = QA/PQ
PQ = QA / cot(PAQ)
PQ = (64/√5) / (2/5) = 32√5
The height of the tower is 32√5.
Answer: y = 2/3x + 41/3
Step-by-step explanation:
First convert the equation into slope-intercept
3x + 6y = 4y - 4
-4y -4y
3x + 2y = -4
-3x -3x
2y = -3x - 4
y = -3/2x - 2
Perpendicular lines have a negative reciprocal for their slopes.
The negative reciprocal of -3/2 is 2/3
Now using the slope 2/3 you will use the formula y =mx +b and input the slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.
7 = 2/3(-10) + b
7 = -20/ 3 + b
+ 20/3 + 20/3
b = 20/3 + 21/3 = 41/3
Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3
Answer:
y= -2
Step-by-step explanation:
Please see attached picture for full solution.
(From the 4th to 5th line, I multiplied both sides by 8)
