They are equal so...
15x+2 = 9x+20
15x-9x = 20-2
6x =18
x = 18/6 = 3
x = 3
In 144 minutes, or at 5:19 pm, the trains will arrive at the same time again.
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:
She will get 12 books from the store
Step-by-step explanation:
We can use ratio's to solve
2 books out x books out
------------------- =-----------------------------
3 books in 18 books in from Val
Using cross products
2 * 18 = 3 *x
Divide each side by 3
2*18 /3 = 3x/3
2*6 = x
12 =x
She will get 12 books from the store
Answer:
C. 4x+12
Step-by-step explanation:
To distribute, multiply 4 and x which gives you 4x and multiply 4x3 which equals 12 and 12 is positive so the answer is 4x+12.