Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain
Using the quadratic formula 
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:
We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Just solve the quadratic, you need to figure out what value you can use to FOIL and get c^2+5c-24=0. so you need to figure out what values you can add together to get 5 and multiply together to get -24 so try (c+8)(c-3) here 8 and 3 make sense since 8-3 = 5 and 8*-3=-24 so the answer is (c+8)(c-3).
Answer:
4√3
Step-by-step explanation:
Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.
Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.
We multiply both sides by x ⇒ x × sin 30 =2√3
Lastly we divide by sin 30. x = 2√3/ sin 30
We know that sin 30 is 1/2.
2√3 ÷ 1/2 (keep change flip) ⇒2√3 ×2 ⇒4√3
Sin 30 is equal to
Answer:
2.6 ft/s
Step-by-step explanation:
Given that a soccer ball kicked into the air reaches 15 feet in 3 second. The first rate or speed will be:
Rate 1 = 15/3 = 5 feet/s
and falls to 3 feet after 5 seconds. Also, the second rate or second speed will be:
Rate 2 = ( 15 - 3 ) / 5
Rate 2 = 12 / 5
Rate 2 = 2.4 ft/ s
What is the rate of change between the 3rd second and the 5th second? That is, the change in speed. Which can be expressed as:
The rate of change = 5 - 2.4
The rate of change = 2.6 ft/s
start with -9.55. then do that number plus 136.32. which is 126.77. then 82.77 for phone bill which leaves you at 44$ then divide by 4$ because thats how much a gallon is worth =. that leaves you with 11. so you can afford and put 11 gallons of gas in your car!! :)
