Hi!
Let's separate this shape into 3 smaller shapes. (see image)
Let's start with the green shape. The base is 5, and the height is 4.
5 x 4 = 20
Now the blue shape. The base is (15 - 5) 10, and the height is (3 + 4) 7.
10 x 7 = 70
Now finally, the red shape. The base is (15 - 12) 3, and the height is (11 - 4) 7.
7 x 3 x 0.5 = 10.5
Now add all of the areas together. 20 + 70 + 10.5 = 100.5
The answer is
100.5Hope this helps! :)
The inverse of this function is y =
You can find the inverse of any function by switching the x and y values. Once you've done that, you can solve for the new y. The result will be the inverse of the function. The work for this one is below.
y = ----> Switch the x and y
x = -----> Add 9 to both sides
x + 9 = ----> Take the natural log (ln) of both sides. This will case the e to cancel on the right side.
ln(x + 9) = 2y ----> Divide both sides by 2.
y =
This will be your inverse function.
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
10 lb of cashews and 70 lb of peanuts
Step-by-step explanation:
Let x = the pounds of cashews.
Then 80 – x = the pounds of peanuts
Value of cashews + value of peanuts = volume of mixture
x×4.75 + (80 – x)×2.75 = 80×3 Remove parentheses
4.75x + 220 - 2.75x = 240 Combine like terms
2.00x + 220 = 240 Subtract 220 from each side
2.00x = 20 Divide each side by 2.00
x = 10 lb
80 - x = 80 – 10
80 - x = 70 lb
Max will mix 10 lb of cashews with 70 lb of peanuts.
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<em>Check:
</em>
10×4.75 + 70×2.75 = 80×3.00
47.50 + 192.50 = 240.00
240.00 = 240.00