is proved
<h3><u>
Solution:</u></h3>
Given that,
------- (1)
First we will simplify the LHS and then compare it with RHS
------ (2)
Substitute this in eqn (2)
On simplification we get,
Cancelling the common terms (sinx + cosx)
We know secant is inverse of cosine
Thus L.H.S = R.H.S
Hence proved
42/12 = 3.5, 63/18 = 3.5, therefore we will be multiplying the last time by 3.5. 40x3.5= 140, and therefore, the number of pencils produced in 40 seconds is 140
Answer:
The answer is (-9,4) and (-3,4)
Step-by-step explanation:
the top number is the exponent, the bottom number is the root.
15) ![\sqrt[3]{(2p)^{1} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%282p%29%5E%7B1%7D%20%7D)
= ![\sqrt[3]{2p}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2p%7D)
16) ![16\sqrt[4]{(x)^{3} }](https://tex.z-dn.net/?f=16%5Csqrt%5B4%5D%7B%28x%29%5E%7B3%7D%20%7D)
= ![16\sqrt[4]{x^{3} }](https://tex.z-dn.net/?f=16%5Csqrt%5B4%5D%7Bx%5E%7B3%7D%20%7D)
Answer:
72 in^2
Step-by-step explanation:
The area of the square in the middle is
A = s^2 = 6^2 = 36
The area of the triangle on the left is
A =1/2 bh = 1/2 ( 6*6) = 18
The area of the triangle on the right
A = 1/2 bh = 1/2(6*6) = 18
Add the areas together
36+18+18 = 72
