All seed plants contain Tissues in their

A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has $123 worth of sheet metal remaining. The equati

Sergio039 [100]

Answer:

Sheet metal remaining = 4.1x

cost per square foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square foot = $30

5 0

3 years ago

I really need help please help me

hram777 [196]

Answer:

i11, i26, i20, i21

Step-by-step explanation:

Alright, so there's an order to imaginary numbers. At the 1st power, it's i. At the second, it's -1. At the 3rd, it's -i. At the 4th, it's 1. And at the 5th, it restarts.

5 0

3 years ago

What is a simple definition for a function in math?

klemol [59]

Answer:

Related order pairs that have one value from the second components of the order pain.

Hoped this worked :3

8 0

3 years ago

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A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$

$x^{2} = -\frac{49}{2}\cdot (y-32)$

$x = \sqrt{-\frac{49}{2}\cdot (y-32) }$

If y = 22 inches, then x is:

$x = \sqrt{-\frac{49}{2}\cdot (22-32)}$

$x = \pm 7\sqrt{5}\,in$

$x \approx \pm 15.652\,in$

Head must 15.652 inches away from the edge of the door.

8 0

3 years ago

What is the length of the side of a right triangle that has a side length of 12in and a hypotenuse that measures 15ft

Viktor [21]

Answer: 14.96ft

Step-by-step explanation:

1. To solve this exercise you must apply the Pythagorean Theorem, which is:

$a=\sqrt{b^{2}+c^{2}}$

Where $a$ is the hypotenuse, and $b$ and $c$ are the other sides of the triangle.

2. You have that the sides given measures 12 inches. 1 feet has 12 inches. Therefore, this side measures 1 feet.

2. Then, when you solve for one of the sides and substitute the values given in the problem into the formula shown above, you obtain that the length of the side of the rigth triangle is:

$b=\sqrt{(15ft)^{2}-(1ft)^{2}}$

$b=4\sqrt{14}=14.96ft$

7 0

3 years ago

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