Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
=(sinx/cosx) basic trigonometric function
= [cosx cox+sinxsinx]/cos^2x
=[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
= 1/cos^2x; reciprocal relations
= sec^2x+C
The answer is letter B.sec^2x+C
Answer:
BD/DA = CE/EA
Step-by-step explanation:
Hey there :)
All these shapes are known as a rhombus.
The are formula of a rhombus is
1st ) The area is given = 48 in²
The diagonals are 1) 8 in and 8 in = 16 in , 2) x in and x in = 2x in
Apply the formula to find x

48 = 16x
Divide by 16 on either side to isolate x
3 = x Check:
Area =
=

= 48 in²
2nd ) Area is given = 48 ft²
The diagonals are 1) 4 + 4 = 8 ft , 2) x
Apply the formula to find x
48 =

48 = 4x
Divide by 4 on either side
12 = x Check:
Area =

=

= 48 ft²
3rd ) Given diagonals are 19 ft and 38 ft
Area =

=
= 361 ft²
<h3>
Answer: 30,240</h3>
This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.
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Explanation:
There are n = 9 letters in the word "PEPPERONI"
If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.
However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240
Answer:
x = 7/3
Step-by-step explanation:
Step 1: Write equation
6 + 3x = 12x - 15
Step 2: Solve for <em>x</em>
- Subtract 3x on both sides: 6 = 9x - 15
- Add 15 to both sides: 21 = 9x
- Divide both sides by 9: 21/9 = x
- Simplify: 7/3 = x
- Rewrite: x = 7/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6 + 3(7/3) = 12(7/3) - 15
6 + 7 = 28 - 15
13 = 13