First you need to simplify it so
5 7/8 = 5x8=40 40+7=47 so at the moment you have 47/8
then do
11/4 is fine so find the common denominator
in this case its 8 so 4x2=8 and then 11x2=22 so you have 47/8-22/8
which = 25/8 then you simplify and you get <em><u>3 1/8</u></em>
Answer:
x = 40.
Step-by-step explanation:
The corresponding sides are in the same proportion so:
45/ 27 = 30/18 = x/24
Consider the last 2 fractions:
30/18 = x/24
5/3 = x/24 Cross multiply:
3x = 5 * 24
x = 120 / 3
x = 40.
<u>Answer:</u>
- The first four terms are <u>4</u><u>,</u><u>8</u><u>,</u><u>1</u><u>2</u><u>,</u><u>1</u><u>6</u>
<u>Step-by-Step </u><u>Explanation</u><u>:</u>
The given relation between the nth term and it's previous term is given by:

GiveN:
Now finding the other three terms of the AP with the given relation.

Putting a1 = 4,

Now, Third term:

Putting a2 = 8,

Now, Fourth term:

Putting a3 = 12,

Hence, The first four terms of the AP is 4, 8, 12 & 16.
The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?


The above equation can further be written as:

New mean = 
= 66.09
Therefore, the new mean is 66.09
Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33