Use the Pythagorean Theorem:
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
b² = 56.25
b = 7.5
The ladder reaches a height of 7.5 ft on the wall
Answer:
471.3inches
Step-by-step explanation:
Given data
Diameter= 30in
Radius= D/2= 30/2= 15in
The circumference is the same as the distance covered in one revolution
C= 2πr
Hence the distance covered in 5 revolutions is
C= 2*5*πr
Substitute
C=10*3.142*15
C= 471.3inches
We have that
1/16 = 64<span>^x
applying log both sides
log(1/16)=log(</span>64^x)
log 1-log16=x*log64
-log 16=x*log 64
divide by log 64 both sides
x=-log 16/log 64
log 16=log 2^4-----> 4*log 2
log 64=log 2^6-----> 6*log 2
-log 16/log 64=(-4*log 2)/(6*log 2)-----> -4/6------> -2/3
the answer is
x=-2/3
Answer:
1) Yes, 1/2 and 2
2) b=1/2 × t
t=2 × b
Step-by-step explanation:
1) Yes, because <em>every</em> package of a toy equals 2 batteries. The constant of proportionality is 1/2 and 2 because 1 ÷ 2 = 1/2 and 2 ÷ 1 = 2 (amount of toys divided by amount of batteries and vice versa)
2) b = 1/2t, because for every battery, there is 1/2 a toy.
t = 2b, because for every toy, there are 2 batteries
<em>note: you can't actually have 1/2 a toy, </em><em>but</em><em> </em><em>we</em><em> </em><em>write</em><em> </em><em>it</em><em> </em><em>like</em><em> </em><em>that</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>sake</em><em> </em><em>of</em><em> </em><em>showing</em><em> </em><em>the</em><em> </em><em>relationship</em><em> </em><em>of</em><em> </em><em>toy</em><em> </em><em>to</em><em> </em><em>battery</em><em>. </em>