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-Dominant- [34]
3 years ago
6

Marcus is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the r

ectangle is 80 feet . The ratio of the width to the length is 3 to 5. What are the dimension of the rectangle (please help) & show work please
Mathematics
1 answer:
Otrada [13]3 years ago
7 0
Ratio of width to length:    W/L = 3/5
5W = 3L  .........(a)

Perimeter = 2*(L+W) = 80

2*(L+W) = 80
(L+W) = 80/2.  Divide both sides by 2.
L+W= 40......(b)


5W = 3L

L + W = 40    Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200.             Recall from (a)   5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.

5W = 3L
5W = 3*25
W = 3*25/5
W = 15.

Therefore, the length, L = 25 and width , W = 15.
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You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from the table and the top of the
Luba_88 [7]

Answer:

  • -4

Step-by-step explanation:

<u>The billiard cue is 15 cm away from the table</u>

  • This refers to coordinates of (15, 0)

<u>The billiard cue touches the table at a point 60 cm off the ground</u>

  • This refers to coordinates of (0, 60)

<u>The slope is as per slope formula;</u>

  • m = (60 - 0)/(0-15) = 60/ -15 = -4

Thea answer is -4

6 0
3 years ago
Read 2 more answers
A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
On Friday it snowed 3 4/7 inches. On Saturday it snowed 2/7 inches. How much more did it snow on Friday then Saturday? A. 3 2/7
xxTIMURxx [149]

Answer:

A

Step-by-step explanation:

Since on Friday it snowed 3 4/7 inches and Saturday ir snowed 2/7 inches, subtract the two numbers to find the difference.

3\frac{4}{7} -\frac{2}{7} =3\frac{4-2}{7} =3\frac{2}{7}

The answer is A.

5 0
3 years ago
22. PLEASE HELP PLEASSSSSSEEEEEEEE
antiseptic1488 [7]

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

6 0
2 years ago
Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the a
Elenna [48]
She would have $904. 275 + 812= 1087. 75 + 60 + 48= 183. 1087 - 183 = 904. Check the math to make sure, I did it in my head.
3 0
3 years ago
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