Answer:
Table 4th is showing the function that is decreasing only over the interval
Step-by-step explanation:
We have been given four tables below:
To determine the function that is decreasing only in the given interval
We will check the values after -1 in all four tables
The table in which values is only decreasing after -1 will be the table which shows a function is decreasing only.
In table 1 the value of x is increasing
In table 2 and 3 the value is increasing and then decreasing but we will consider only decreasing case
Therefore, Table 4th is correct.
Answer: 280 lockers
Step-by-step explanation:
3/5*700= 420 so 420 are being used and 700-420=280 lockers not in use
Find the GCD (or HCF) of numerator and denominator
GCD of 52 and 24 is 4
Divide both the numerator and denominator by the GCD
52 ÷ 4
24 ÷ 4
Reduced fraction: 13/6
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:
Step-by-step explanation:
40(12/100)
480/100
$4.80
