Answer:
1)x=4
2)
Step-by-step explanation:
12x-14=34
step1: +14 on both sides
step2: 12x=48
divide 12 from both sides
step3:x=4
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.
Forgive me if this is wrong. I haven't done stat in a year, but comment if you need clarification!
Answer:b
Step-by-step explanation:
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......

The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth
and
Number of pieces for white cloth 