<span>the longitude of the ramp is determined by the Hypotenuse, we have the angle(4.5Âş), and the opposite side (3ft), so with the Sin(x) trigonometric function ( sin(x)=opposite/hypotenuse ) we can calculate the answer.
Using the formula, hypotenuse=opposite/sin(x)
Hypotenuse=3ft/sin(4.5)
hypotenuse=3ft/0.0784591
hypotenuse=38.236482
the ramp must be 38.2 ft long.
the calc must be in degrees to get an accurate answer to any trigonometric function</span>
2/3 yard= 1 pillow
To find the total yards needed for 8 pillows, multiply 2/3 yard per pillow by 8 pillows.
= 2/3 * 8
multiply numerators; multiply denominators
= (2*8)/(3*1)
= 16/3
convert to a mixed number
= 5 1/3 yards needed
ANSWER: 5 1/3 yards is needed to make 8 pillows.
Hope this helps! :)
Answer:
2.953
Step-by-step explanation:
Following the order of operations, work from left to right for addition/subtraction.
Subtraction:

Addition:

Therefore, the solution is 2.953
The equation for that line is y=x+5
<h3>
Answer: 3 bottles of brand A</h3>
Explanation:
The pricing/cost information is not used in this problem. All we care about is the number of bottles, and how much each bottle can hold.
Brand A bottles hold 0.95 liters each. We bought 3 of these bottles, so 3*0.95 = 2.85 liters in total are purchased.
Brand B bottles hold 0.55 liters each. Buying 5 of them leads to 5*0.55 = 2.75 liters in total.
Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)