Answer:
The system of equations is :
Equation 1- 
Equation 2- 
Number of vinyl doghouse = 5
Number of treated lumber doghouse =12.5
Step-by-step explanation:
Let x be the number of vinyl doghouses
y be the number of treated lumber doghouses
→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.
Equation 1- 
→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.
Equation 2- 
→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.
Subtract equation 2 from equation 1




Put value of x in equation 2





Therefore, number of vinyl doghouse = 5, number of treated lumber doghouse =12.5
Answer:
x = 8.7
Step-by-step explanation:
Reference angle = 30°
Opposite side length = x
Adjacent side length = 15
Apply trigonometric function, TOA:
Tan 30° = Opp/Adj
Plug in the values
Tan 30° = x/15
Multiply both sides by 15
15*Tan 30° = x
8.66025404 = x
x = 8.7 (nearest tenth)
Answer:
(D) 2 x 10²
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
<h3>Hope it is helpful.....</h3>
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2