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3 years ago

12

ustin's hair is 3 1/4 inches long. How long will it be in 2 months if it grows 1/2 inch each month? Which method will NOT give t

he correct number of inches?

1 answer:

zalisa [80]3 years ago

6 0

Answer:

3 1/2

Step-by-step explanation:

1/4 + 1/4

(1x4) + (1x4)

=_________

4x4

=8/16

8÷8

=_________

16÷8

=3 1/2

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The point B lies on the segment AC.

svet-max [94.6K]

Answer:

(9, -5)

Step-by-step explanation:

The vector AC has coordinates (27, -18), because:

21 - (-6) = 27

-13 - 5 = -18

If the ratio of AB to BC is 5 to 4, it means that

AB = [5/(5+4)]AC = (5/9)AC

Therefore, we have

AB = (5/9)AC = (5/9) (27, -18) = (15, -10)

Which means that:

xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9

yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5

So B has coordinates (9, -5).

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3 years ago

What is x, if the volume of the cylinder is 768pi rcm3?

AVprozaik [17]

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x$

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Line SU intersects Line TV at point R. What is the value of x, in degrees?

umka2103 [35]

Answer: X is equal to 30

Step-by-step explanation: I found this by taking 75 + 15 which is 90 then dividing it by 3 so 30. This is correct because since the linear pair is equal to 75 degrees then this also needs to be 75 degrees and 3 x 30 = 90 and 90 - 15 = 75.

Hope this helps.

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3 years ago

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Ugo [173]

Answer:

1) 180 ft / 6 sec

2) 86 mi/5 hr

3) 83 mi / 5hr

4) 93 feet / 5 sec

5) 150 mi / 4 hr

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The function p(x)=-2(x-9)^2+100 is used to determine the profit on tshirts sold for x dollars. What would the profit from sales

r-ruslan [8.4K]

Answer:

x=18- $\sqrt{200\\$ /2 =9-5 $\sqrt{2$ =1.929

Step-by-step explanation:

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