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2 years ago

8

Tyler has 3/4 month to write a book report. He finished the report in 2/3 that time. How much time did it take Tyler to write th

e report?

1 answer:

Oxana [17]2 years ago

4 0

Answer:

1/2 of a month

Step-by-step explanation:

2/3 * 3/4 = 1/2

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20% of 145<br> Please show work!!!!<br> I need an answer ASAP!!!!

IRISSAK [1]

Answer:

20/100 × 145

2/10 × 145

290 ÷ 10 = 29

Thus, 20% of 145 is 29

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2 years ago

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Help please this question kinda hard.

Kazeer [188]

Well as you can see it is F!

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2 years ago

What is the slope of a line that passes through (-4,-13) and (19,11)

inysia [295]

The slope of the line is the gradient, which you can find through rise over run

m (gradient) = (y1 - y2) / (x1 - x2)

where (x1, y1) is the coordinate of the first point, and (x2, x2) is the coordinate of the second point

in your question:
x1 = -4
x2 = 19
y1 = -13
y2 = 11

m = (-13 -11) / (-4 -19) = -24 / -23 = 24/23 or 1.04 (2d.p.)

hope that helps :)

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3 years ago

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PLease help please please please please help help help me me em e

juin [17]

1) Which of the following is an example of a dilation?
The correct answer is A) The hearts.

2) If triangle ABC is reflected across line m, the new coordinates will be located at A'(2, -4) B'(7,-7) C'(-2, -7).
The answer is False.

I hope this helps! I can't really see #3. Sorry. But I got #'s 1 & 2 though!

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2 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