Answer:
7,9,11
Step-by-step explanation:
Let first number is x, second number is (x+2) and third number is (x+4).
ATQ,
The product of the smaller two integers is 3 less than 6 times the largest integer.
x(x+2) = 6(x+4)-3
x² + 2x = 6x+24-3
x² + 2x = 6x+21
x² + 2x -6x -21=0
x²-4x -21=0
It is a quadratic equation whose solution is :
x = -3 and x = 7
First number = 7
Second number = 9
Third number = 11
Hence, this is the required ssolution.
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:
Divided into five equal parts
Answer: It should be 270 ml
Step-by-step explanation:
To find 3/8 of 720, we need to know 1/8
Divide 720 by 8, this gives you 90
Now multiply 90 by 3 to get 3/8
Answer is 270 ml
Answer:
Step-by-step explanation:
Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8
9/10y and -3/5y are like terms and LCD of 10 , 5 is 10
