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3 years ago

Which of the following is an arithmetic sequence?

Mathematics

1 answer:

seropon [69]3 years ago

6 0

Answer:

Step-by-step explanation:

Brainliest please, thanks :)

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Which should be calculated first to solve this story problem?

Elden [556K]

The answer would be a because of the time he is at the gym just add and subtract but the answer is a

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3 years ago

Select the expression that could be used to determine if 96 is a factor of 8.

Svet_ta [14]

Answer:

Step-by-step explanation:

To find out if it is a factor divide 96 by 8 and you will see. Hope this helped you!!

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3 years ago

Read 2 more answers

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.

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3 years ago

The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse

gladu [14]

Consider the attached figure. All the triangles shown are similar, so

CB/CA = CD/CB
30/50 = projection/30
projection = 30^2/50
projection = 18

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3 years ago

Which property of addition is shown below

pav-90 [236]

Answer & Explanation:

There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties. Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.

5 0

2 years ago