Answer:
The correct are is 5.5 cm².
Step-by-step explanation:
First of all, Carlos calciulated the are of the rectangle correctly, only the are unit is wrong, it should be 3 cm².
He made a mistake calculating the area of a the triangle: The area of a triangle can be calculated by multiplying the base by the height by 
.
(Comment if you want a deeper explanation on where this comes from)
He mistakenly takes 4 cm for the height, but if you look carefully the height of the triangle in this case is 4 cm - 1.5 cm = 2.5 cm.
That gives 
for the area of the triangle.
Adding those two together gets you a total area of 5.5 cm².
Answer:
This problem actually says:
(y + 2), (y + 3) and (2*y^2 - 1) are consecutive terms of an arithmetic progression.
Now, the difference between two consecutive terms in an arithmetic progression is always the same, so we have:
(y + 3) - (y +2) = D
(2*y^2 - 1) - (y + 3) = D
From the first equation we have:
y + 3 - y - 2 = 1 = D
Now we can replace it in the other equation:
2*y^2 - 1 - y - 3 = 1
2*y^2 - y - 5 = 0
Now we need to solve that equation to find the possible values of y.
To solve a quadratic equation of the form:
a*x^2 + b*x + c = 0, we can use the Bhaskara's equation:
in this case, the solutions are:
![y = \frac{1 +-\sqrt[]{(-1)^2 - 4*2*(-5)} }{2*2} = \frac{1 +- \sqrt{61} }{4} = \frac{1+-6.4}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%20%2B-%5Csqrt%5B%5D%7B%28-1%29%5E2%20-%204%2A2%2A%28-5%29%7D%20%7D%7B2%2A2%7D%20%20%3D%20%5Cfrac%7B1%20%2B-%20%5Csqrt%7B61%7D%20%7D%7B4%7D%20%3D%20%5Cfrac%7B1%2B-6.4%7D%7B4%7D)
Then the possible values of y are:
y = (1 + 6.4)/4 = 1.85
y = (1 - 6.4)/5 = -1.35
Answer:
6
Step-by-step explanation:
Answer: so a 1 and 1/2 bag will cover 375
1=2/2
1 and 1/2=2/2 and 1/2=3/2
so 3/2 pound covers 375
2/2 pounds covers x
3/2pound=375
multiply both sides by 2 to get rid of the fraciton
3pound=750
divide both sides by 3
1pound=250 square feet so the answer is c. 250 square feet
Step-by-step explanation:
Answer: D) w = 9 feet
Work Shown:
That points us to the final answer choice D.
