Answer:it will be answer 2
Step-by-step explanation:
Just took to and that was correct
Answer:
Equivalent Fractions with the LCD
7/8 = 231/264
10/11 = 240/264
2/3 = 176/264
Step-by-step explanation:
Solution:
Rewriting input as fractions if necessary:
7/8, 10/11, 2/3
For the denominators (8, 11, 3) the least common multiple (LCM) is 264.
LCM(8, 11, 3)
Therefore, the least common denominator (LCD) is 264.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/8 = 7/8 × 33/33 = 231/264
10/11 = 10/11 × 24/24 = 240/264
2/3 = 2/3 × 88/88 = 176/264
Answer:
as below
Step-by-step explanation:
to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
we will need to solve two triangles and subtract them.
one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,
lets solve the 15° one first. We are told that the adj side is 75'
since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)
Tan(15) = Opp / 75
75*Tan(15) = Opp ( I'll put my calculator to work for this )
20.096 = Opp
that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground
next lets solve the 57° triangle in the exact same way
Tan(57) =Opp / 75
75*Tan(57) = Opp
115.4898 = Opp
the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground
so subtract the small one from the big one to find the height of the flag pole above the ground
115.4898-20.096 = 95.3938
so the flag pole is about 95.4 feet tall
:o that's pretty tall :
Answer:
Required value of k is 43% .
Explanation:
Lets assume original regular price of sports jacket = x
On sale , price of jacket is reuced by 30%
Sales price = x - 30% 0f x
Sales price= x – 0.30x
Sales price= 0.70x
Once sales is over price of jacket is increased by k%
That is
Sales price + k% of Sales price
= 0.70x + k% 0.70x
Also given after increasing to k% , price becomes equal to regular price
=> 0.70x + k% of 0.70x = original regular price
=>
=>
=>
=> 0.70k = 100 x 0.30
=>that is 43
Hence required value of k is 43% .