The product of this is 90
![\red { \green {\boxed {\boxed{Answer}}}}](https://tex.z-dn.net/?f=%20%5Cred%20%7B%20%5Cgreen%20%7B%5Cboxed%20%7B%5Cboxed%7BAnswer%7D%7D%7D%7D)
![= 7( - 4) - | - 6| + |4|](https://tex.z-dn.net/?f=%20%3D%207%28%20-%204%29%20-%20%20%7C%20-%206%7C%20%20%2B%20%20%7C4%7C%20)
![= - 28 - | - 6 | + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2028%20-%20%20%7C%20-%206%20%7C%20%20%2B%20%20%7C4%7C%20)
![= - 28 - 6 + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2028%20-%206%20%2B%20%20%7C4%7C%20)
![= - 34 + |4|](https://tex.z-dn.net/?f=%20%3D%20%20-%2034%20%2B%20%20%7C4%7C%20)
![= - 34 + 4](https://tex.z-dn.net/?f=%20%3D%20%20-%2034%20%2B%204)
![= - 30](https://tex.z-dn.net/?f=%20%3D%20%20-%2030)
The absolute value of a real number a is a when a≥0, or -a when a<0. The absolute value of -6 is 6. The absolute value of 4 is 4.
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For 6 the answer is c because 1 fourth goes into one and a half 6 times so you do 6 times 4 feet which is 24 feet
Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:
![\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%5Ctheta%3D%5Cfrac%7B%5Ctext%7Badjacent%20leg%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D)
![\displaystyle \cos 51^\circ=\frac{19}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%2051%5E%5Ccirc%3D%5Cfrac%7B19%7D%7Bx%7D)
Solving for x:
![\displaystyle x=\frac{19}{\cos 51^\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B19%7D%7B%5Ccos%2051%5E%5Ccirc%7D)
![\displaystyle x=\frac{19}{0.6293}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B19%7D%7B0.6293%7D)
x = 30.2 units