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3 years ago

11. Point A(-2,9) is rotated 180 degrees what is the value of A'? *

2 answers:

6 0

It should be (2, -9). When rotating 180° you always make the x and y the opposite, so you take the opposite of -2 and the opposite of 9 to get (-2, 9). Hope this helps!

disa [49]3 years ago

5 0

(2,-9) because it turns 180 degrees meaning your going to rotate it twice.

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g The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 s

zubka84 [21]

Answer:

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

Step-by-step explanation:

Area of a triangle:

The area of a triangle of base b and height h is given by:

$A = bh$

In this question:

We have to derivate the equation of the area implicitly in function of time. So

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.

This means that:

$\frac{dh}{dt} = 2, \frac{dA}{dt} = -0.5$

At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?

This is $\frac{db}{dt}$ when $h = 6$

Area is 24, so the base is:

$A = bh$

$24 = 6b$

$b = \frac{24}{6} = 4$

Then

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

$-0.5 = 4(2) + 6\frac{db}{dt}$

$6\frac{db}{dt} = -8.5$

$\frac{db}{dt} = -\frac{8.5}{6}$

$\frac{db}{dt} = -1.4167$

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

6 0

2 years ago

A bike road race starts at an elevation of 920 feet and passes through 5 stages where the elevation changes by -559 feet, -100 f

Alenkasestr [34]

920 +(-559) +(-100) +(-441) +(175) +(-139)
=-144

The answer is E

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3 years ago

What is 5r + 8r it is 13r

maks197457 [2]

Answer:

Yes, it's 13r.

Step-by-step explanation:

5r+8r=13r

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3 years ago

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marin [14]

Linear scale factor =1/2
volume scale factor=(1/2)³=1/8
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volume=length*width*height
volume=16×15×6
volume=1440 cubic inches
thus volume of the small sink will be:
1/8×1440
=180 cubic inches

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2 years ago

A surveying instrument is 5 feet from the ground, 22 feet from the base of a building. The angle of elevation from the top of th

g100num [7]

Answer:

$\frac{\left(22\cdot \sin \left(60\right)\right)}{\sin \left(30\right)} +5$

43.1 ft

Step-by-step explanation:

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2 years ago

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