Please help so confused ..
2 answers:
Answer:
Read the explanation :P
Step-by-step explanation:
Alrighty! First thing's first we are asked to solve for A. A in the diagram shown to the right takes on the form of a rectangle.
A = (equation/work) = (answer) ft²
Here we are finding the area of A. The equation for area is:
Area = base x height
Rectangle A has a base length of 5 ft. and a height of 6 ft. We can plug these measurements into the formula for area.
Area = Base x Height
A = 5 x 6
(I'm not quite sure how your program works but you may have to write out 5ft. x 6ft. instead of just 5 x 6)
A = 30 ft²
The area of the rectangle is 30 ft.²
Next, we need to find the area of the triangle (figure B). The formula used to find the area of a triangle is:
A = 1/2 x base x height
A =bh
Notice that the triangle shares a side with the rectangle. Since rectangles have two pairs of parallel and equivalent sides, we can confirm that since the side opposite to the one that the triangle touches is 6 ft., so if the side between shapes A and B. We have our height.
A = b(6)
Now our base is relatively easy to find too. All we must do is subtract 5 ft. from 9 ft. The base of the triangle is merely an extension of the rectangle's base of 5 feet. Together, the base of the triangle and the base of the rectangle equal 9 ft. Subtract the rectangle's base from the combined bases of the triangle and the rectangle and we have the triangle's base alone.
b = 9ft. - 5ft.
b = 4ft.
Now we have the triangle's base so we can solve for the triangle's area.
A = x 4 x 6
A = (4)(6)
A = (24)
A = 12 ft²
The area of the triangle is 12 ft².
Now we are asked for the total area of the whole shape. This is simple enough! We have both areas of both shapes correct? The rectangle has an area of 30 ft.² The triangle has an area of 12 ft².
Total area? Simple! Just add the two areas up!
30ft² + 12ft² = 42ft²
The total area of the shape is 42ft²!
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Answer:
Step-by-step explanation:
Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!
If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:
Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:
and
w = 2. So we're good!