Answer:
possible answers are
6x8
4x 12
2x 24
Step-by-step explanation:
Answer:
1 hour and 15 minutes
or
1.25 hr.
Step-by-step explanation:
40 miles ⇒ 1 hr.
50 miles ⇒ total hours
= 1.25 hours
Answer:
I, II and III
Step-by-step explanation:
Two sides of a triangle have length 6 and 8.
the maximum possible area occurs in the right angle .
To find maximum area we use the area of the triangle formula

So maximum possible area is 24 units^2
all the given possible values are less than and equal to 24
so all the three options are correct
I, II and III
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:
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Step-by-step explanation: