Answer:
Rui will reach his lowest altitude after 20seconds of diving
Step-by-step explanation:
Given the function that models the altitude of Rui at any time x expressed as:
d(x) = 1/2 x² - 10x
The height of rui at his lowest altitude will be zero. Substitute d(x) = 0 into the expression and get x
d(x) = 1/2 x² - 10x
0 = 1/2 x² - 10x
-1/2x² = 10x
1/2 x = 10
Multiply both sides by 2
x/2 × 2 = 10×2
x×1 =20
x = 20
Hence Rui will reach his lowest altitude after 20seconds of diving
The answer is 80 square meters.
The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.
The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.
After renovations, square garden becomes rectangular.
One side is doubled in length:
a₁ = 2a
The other side is decreased by three meters.
b₁ = a - 3
The new area is 25% than the original square garden:
A₁ = A + 25%A =
= A + 25/100·A
= A + 1/25·A
= a² + 1/25·a²
= <span>a² + 0.25·a²
</span> = 1.25·a²
If the starting equation is:
A₁ = a₁ · b₁
Thus, the equation is:
1.25a² = 2a·(<span>a - 3)
</span>1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a
<span>Therefore, the equation that could be used to determine the length of a side of the original square garden is:
</span><u>2a² - 6a = </u><span><u>1.25a²</u></span>
Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0
From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8
If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80
Therefore, the area of the new rectangle garden is 80 square meters.
Perimeter = sum of all the sides
let x = one side
longer side = x + 10
Perimeter = x + x + x + x + 10
62 = 4x + 10
4x = 52
x = 13
Longer side = 23
Area = (10+23)x2/10
= 6.6
Answer:
Explanation:
Please, see attached the chart corresponding to this question.
The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.
The items corresponding to<em> taxes</em> are:
- <em>Federal tax: 29%</em>
- <em>State tax: 6%</em>
All the other expenses are not taxes.
Add the two items that are taxes: 29% + 6% = 35%.
Hence, the expenses that are not taxes can be calculated by difference:
base 16y^2
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
