Hey!
Please follow the formula. V = lwh (please multiply the length by the width by the height to get the answer
Answer:
Step-by-step explanation:
First solve -5x+9y=-12 for x:
-5x+9y=-12
-5x+9y-9y=-12-9y
-5x=-12-9
-5x=-9-12
-5x/-5=-9/5-12/-5
x=9/5y+12/6
Substitute x into an equation
3(-9/5y+12/6)+2y=22
37/5y+36/5=22
37/5y+36/5-36/5=22-36/5
37/5y=74/5
37/5y/37/5=74/5/37/5
y=2
Substitute y in x=-9/5y+12/6
9/5(2)+12/6
x=6
Solution Set: (6,2)
xoxo
Answer:
<u>18 Servings</u>
Step-by-step explanation:
In this case all we need to do is reverse the functions of the equation in order to find the answer. When you take 12 and divide it by 2/3 you get the answer of 18.
In single logarithm
log base 7 (a^5/b^20)
Answer: 10 ft
Explanation
As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.
0. Calculating BC
We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:
![\tan\theta=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
we can find the opposite side, which is BC. Replacing the values and simplifying we get:
![\tan(30\degree)=\frac{BC}{5\sqrt{3}}](https://tex.z-dn.net/?f=%5Ctan%2830%5Cdegree%29%3D%5Cfrac%7BBC%7D%7B5%5Csqrt%7B3%7D%7D)
![BC=5\sqrt{3}\tan(30\degree)](https://tex.z-dn.net/?f=BC%3D5%5Csqrt%7B3%7D%5Ctan%2830%5Cdegree%29)
![BC=5ft](https://tex.z-dn.net/?f=BC%3D5ft)
Thus, the segment BC measures 5ft.
<em>2. Calculating segment AC</em>.
In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:
![AC=5\sqrt{3}\tan(60\degree)](https://tex.z-dn.net/?f=AC%3D5%5Csqrt%7B3%7D%5Ctan%2860%5Cdegree%29)
![AC=15](https://tex.z-dn.net/?f=AC%3D15)
<em>3. Calculating the distance between A and B</em>