Truck speed be x
car travel at x+19
they travel in opposite directions
so the separation is (x+x+19) * no. of hours
1048 = (2x+19)*8
x = ((1048/8) - 19)/2
=56
truck speed is 56 miles per hour
car speed is 56+19 = 75 miles per hour
Here you are. you can see my explication.
have fun
order of operations
BEMDAS:
B - <em>Brackets</em>
E - <em>Exponents</em>
D - <em>Division</em>
M - <em>Multiplication</em>
A - <em>Addition</em>
S - <em>Subtraction</em>
73 • 7 - 5 = 511 - 5 = 506
Can you show the whole question?
Answer:
![cos(R) = \frac{\sqrt{15}}{5}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B5%7D%20)
Step-by-step explanation:
To find the cosine of <R, apply the following trigonometric ratio formula:
![cos(R) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
Adjacent = 3
Hypotenuse = √15
Plug in the values into the formula
![cos(R) = \frac{3}{\sqrt{15}}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B3%7D%7B%5Csqrt%7B15%7D%7D%20)
Multiply the numerator and denominator by √15 to rationalize.
![cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B3%20%5Ctimes%20%5Csqrt%7B15%7D%7D%7B%5Csqrt%7B15%7D%20%5Ctimes%20%5Csqrt%7B15%7D%7D%20)
![cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B3%5Csqrt%7B15%7D%7D%7B%28%5Csqrt%7B15%7D%29%5E2%7D%20)
![cos(R) = \frac{3\sqrt{15}}{15}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B3%5Csqrt%7B15%7D%7D%7B15%7D%20)
![cos(R) = \frac{\sqrt{15}}{5}](https://tex.z-dn.net/?f=%20cos%28R%29%20%3D%20%5Cfrac%7B%5Csqrt%7B15%7D%7D%7B5%7D%20)