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2 years ago

Question

Mathematics

1 answer:

Taya2010 [7]2 years ago

5 0

Answer:

the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4

Step-by-step explanation:

Let x and y represent jan and Bev's average walk rate.

Also t represent the time taken for Bev to walk 4 miles, so it will take jan 2t time to walk 6 miles

Given that;

It takes Jan twice as many hours to walk 6 miles as it takes Bev to walk 4 miles

For Bev;

y = 4/t

For Jan;

x = 6/(2t) = 3/t

the ratio of Jan's average walking rate to Bev's average walking rate is;

x/y = (3/t)/(4/t) = 3/4

the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4

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adoni [48]

length = 4 yards and width = 3.5 yards

let width be w then length is 2w - 3

area = w(2w - 3) = 14 (rearrange in standard form )

2w² - 3w - 14 = 0 ← in standard form

(2w - 7 )(w + 2 ) = 0 ← in factored form

equate each factor to zero and solve for w

2w - 7 = 0 ⇒ w = 3.5

w + 2 = 0 ⇒ w = - 2

but w > 0, hence w = 3.5

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2 years ago

This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

THis is the answer.

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2 years ago

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SSSSS [86.1K]

Answer:

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Step-by-step explanation:

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2 years ago

Alan borrowed $570 for a new bed. He made 9 monthly payments to repay the loan. He

stepladder [879]

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1 year ago

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Answer:

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2 years ago