31/177 is the answer I’m pretty sure
1: x + 8.23 = -5.14
Subtract 8.23 from both sides
x = -13.37
2: 4/9x = 32
Multiply both sides by 9 (basically, 4 is being divided by 9, so the opposite is to multiply).
(9 times 4, then divided by 9 is 4)
4x = 288
Divide both sides by 4 to isolate x
x = 72
First calculate the area of the shaded region by considering the U-shaped bed as formed by three rectangles, as follow:
where the lengths of the sides of the rectangles corresponds with the dimensions of the U-shaped bed.
Then, for the area of the figure, use the formula for the area of a rectangle, for all three rectangles, as follow:
A = 5*18 + 3*20 + 5*18
A = 90 + 60 + 90
A = 240
Then, the area is 240 in^2
Next, convert the previous result to yd^2. Use the equivalence 1 yd = 36 in:
Now, to find the volume convert 30 in to yards:
Finally, multiply the previous result by the area of the figure:
Answer:
y=-2x-14
Step-by-step explanation:
Answer:
y = 2√5.
Step-by-step explanation:
Consider the smallest triangle.
Applying Pythagoras theorem:
y^2 = x^2 + 2^2
The smallest and larger triangle (the one with one side = 8) are similar so we have the proportions :
x/2 = 8/x
---> x^2 = 16
---> x = 4.
Therefore , substituting for x in the first equation:
y^2 = 4^2 + 2^2
---> y^2 = 20
---> y = √20
---> y = 2√5.