Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.
The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.
2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.
The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .
<h3>Perimeter of a rectangle</h3>
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore,
perimeter of the rectangle = 298 ft
The width is 67 ft.
Hence
perimeter of rectangle = 2(l + w)
where
Therefore,
298 = 2 ( l + 67)
298 = 2l + 134
298 - 134 = 2l
164 = 2l
l = 164 / 2
l = 82 ft
Therefore,
area of the rectangle = 82 × 67 = 5494 ft²
285 ft² = 1 bag of grass seed
5494 ft² = ?
cross multiply
number of bag of grass seed to fill the new rectangular lawn = 5494 / 285
number of bag of grass seed to fill the new rectangular lawn = 19.2771929825
learn more on rectangle here: brainly.com/question/16878024
There are 7 numbers between 5 and 11 including 5 and 11. This means there is a one in seven chance of any number. The probability of o 9 is 1/7.
With all trig functions, the period can be calculated with the equation PB = 2π.
P = period
B = anything in the tangent part of the equation except the x. (in this case, it would be 6)
When we plug in 6 for B, we get 6P = 2π.
Divide both sides by 6 and you get P = 2π / 6
OR
P = π/3