Answer:
37.74 ft
Step-by-step explanation:
An angle and its opposite side are known
Sin (of the angle)= opposite/ hypotenuse
The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse
Sin (32)= 20/ hypotenuse
hypotenuse= 20/ Sin (32)
Sin (32)=0.5299
hypotenuse= 20/ 0.5299
37.74 ft
Hopefully this helps :)
Answer:
d = -16
Step-by-step explanation:
Step 1: Write equation
89 = -5d + 9
Step 2: Solve for <em>d</em>
<u>Subtract 9 on both sides:</u> 80 = -5d
<u>Divide both sides by -5:</u> -16 = d
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
89 = -5(-16) + 9
89 = 80 + 9
89 = 89
4/5x-8=3
move -8 to the other side and add
4/5x=3+8
4/5x=11
move 5x to the other side and multiply
4=5x*11
4=55x
4/55=x
Answer:
32.5 square feet
Step-by-step explanation:
The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.
Hey Jackson!
-4x + 3y = 3
y = 2x + 1
Ok so what we need to do is solving y= 2x + 1 for y.
So let's start by using the substitution method :)
Substitute 2x + 1 for y in -4x + 3y = 3
-4x+ 3y = 3
-4x + 3(2x + 1) = 3
-4x + (3)(2x) + (3)(1) = 3
-4x + 6x + 3 = 3
2x + 3 = 3
Subtract 3 on both sides
2x + 3 - 3 = 3 - 3
2x = 0
x = 0/2
x = 0
So now since we find the number for x, we gonna use it to help us find the value for y.
To find y, we need to substitute 0 for x in y = 2x + 1
y = 2x + 1
y = 2(0) + 1
y = 0 + 1
y = 1
Thus,
The answer is: y = 1 and x = 0
How to graph?
You need to go on the thing where they put the numbers. y is located on top which has the positive numbers. So when you get there, make a line that comes from the top right side all the way to the bottom left sides. Remember that y = 1 so the line must pass through 1
I am not good with explanation. So I'll leave the graph down below then you'll see what I am talking about :)
Let me know if you have any questions. As always, it is my pleasure to help students like you!