So if you divide 1/2 into 6 pieces each person is responsible for 6/12
The other expression that has a value of
is A) sin B.
Step-by-step explanation:
Step 1:
![tan \theta = \frac{opposite side}{adjacent side} .](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%20side%7D%7Badjacent%20side%7D%20.)
For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.
![cosB = \frac{adjacentside}{hypotenuse} = \frac{24}{25}.](https://tex.z-dn.net/?f=cosB%20%3D%20%5Cfrac%7Badjacentside%7D%7Bhypotenuse%7D%20%20%3D%20%5Cfrac%7B24%7D%7B25%7D.)
Step 2:
For angle A, the opposite side measures 24 units, the adjacent side measures 7 units and the hypotenuse measures 25 units.
Step 3:
tan C cannot be determined as C is the right angle. The opposite side and hypotenuse of the triangle would be the same.
So sin B also has a value of
This is option A.
<h2>
The simplest form of radical
=
.</h2>
Step-by-step explanation:
We have,
![7^{\dfrac{1}{5}}](https://tex.z-dn.net/?f=7%5E%7B%5Cdfrac%7B1%7D%7B5%7D%7D)
To find, the radical form of
= ?
∴ ![7^{\dfrac{1}{5}}](https://tex.z-dn.net/?f=7%5E%7B%5Cdfrac%7B1%7D%7B5%7D%7D)
We know that,
Any number raised to the power of reciprocal n is the
root of that number.
= ![\sqrt[5]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B7%7D)
∴
=
[ ∵ 7 is a prime number, the simplest form of radical]
Thus, the simplest form of radical
=
.
Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8
![2) Speed=\dfrac{distance}{time}\\\\\\= \dfrac{d(h)}{t(h)}\\\\= \dfrac{2\sqrt{h}}{3\sqrt{4h}}=\dfrac{2*\sqrt{h}}{3*2\sqrt{h}}\\\\\\=\dfrac{1}{3}](https://tex.z-dn.net/?f=2%29%20Speed%3D%5Cdfrac%7Bdistance%7D%7Btime%7D%5C%5C%5C%5C%5C%5C%3D%20%5Cdfrac%7Bd%28h%29%7D%7Bt%28h%29%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B2%5Csqrt%7Bh%7D%7D%7B3%5Csqrt%7B4h%7D%7D%3D%5Cdfrac%7B2%2A%5Csqrt%7Bh%7D%7D%7B3%2A2%5Csqrt%7Bh%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B3%7D)
![1)d(h) = \sqrt{16h^{4}}=\sqrt{2*2*2*2*h*h*h*h}=2*2*h*h=4h^{2}\\\\\\t(h) = 3h^{4}-3h^{3}-5h^{2}= h^{2}(3h^{2}-3h - 5))\\\\Speed=\dfrac{4h^{2}}{h^{2}(3h^{2}-3h-5)}\\\\=\dfrac{4}{3h^{2}-3h-5}](https://tex.z-dn.net/?f=1%29d%28h%29%20%3D%20%5Csqrt%7B16h%5E%7B4%7D%7D%3D%5Csqrt%7B2%2A2%2A2%2A2%2Ah%2Ah%2Ah%2Ah%7D%3D2%2A2%2Ah%2Ah%3D4h%5E%7B2%7D%5C%5C%5C%5C%5C%5Ct%28h%29%20%3D%203h%5E%7B4%7D-3h%5E%7B3%7D-5h%5E%7B2%7D%3D%20h%5E%7B2%7D%283h%5E%7B2%7D-3h%20-%205%29%29%5C%5C%5C%5CSpeed%3D%5Cdfrac%7B4h%5E%7B2%7D%7D%7Bh%5E%7B2%7D%283h%5E%7B2%7D-3h-5%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B4%7D%7B3h%5E%7B2%7D-3h-5%7D)