Answer:
k=2
Step-by-step explanation:
We have got a right triangle LNO with sides = m,4 and 8
By Pythagorean theorem
m^2=4^2 +8^2
Or m^2 = 80 ... i
IN triangle NOM, 4^2 +k^2 = l^2
i.e. 16+k^2 = l^2... i
In triangle LNM, m^2+l^2 = (8+k)^2
Substitute for m^2 as 80,
i.e. 80+l^2 = 64+k^2 +16k ... iii
From i, l^2 = 16+k^2
Substitute in iii
80+16+k^2 = 64+k^2 +16k
16k = 32 or k =2
A) cone
cone has no parallel bases all the others do
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth
Answer:
3.47 flips per seconds
Step-by-step explanation:
We are told that:
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds
The unit rate = flips per seconds
Flips = 416 times
Seconds = 120
Hence, = 416 flips /120 seconds
= 3.4666666667 flips/seconds
Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
1 quarter = 25 cents.
1 dime = 10 cents.
3 quarters = 3*25 = 75 cents.
10 cents = 1 dime.
75 cents = 75 / 10 dimes
= 7.5 dimes.
Therefore 3 quarters equal 7.5 dimes.
