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VikaD [51]
2 years ago
13

A rectangular lot whose perimeter is 350 ft is fenced along three slides. An expensive fencing along the lots length cost 18$ pe

r foot. An inexpensive fencing along the two side widths costs only 3$ per foot. The total cost of the fencing along the three sides come to $2430. What are the lots dimensions?
Need help asap
Mathematics
1 answer:
antoniya [11.8K]2 years ago
6 0

Answer:

The sum of the first twenty terms of an arithmetic progression is 45, and the sum of the first fourty term is 290, find the first terms and the Common difference.

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zavuch27 [327]

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

3 0
3 years ago
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Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis.
andrezito [222]

Since the rotation is about the y-axis, I'll integrate by dy.

\displaystyle y=x^3\\x=\sqrt[3]y\\\\V=\pi \int \limits_1^8(2^2-(\sqrt[3]y)^2)\, dy\\V=\pi \Big[4x-\dfrac{3}{5}x^{\tfrac{5}{3}}\Big]_1^8\\V=\pi \left(4\cdot8-\dfrac{3}{5}\cdot8^{\tfrac{5}{3}\right-\left(4\cdot1-\dfrac{3}{5}\cdot1^{\tfrac{5}{3}\right)\right)\\V=\pi \left(32-\dfrac{96}{5}-\left(4-\dfrac{3}{5}\right)\right)\\V=\pi \left(\dfrac{64}{5}-\dfrac{17}{5}\right)\\V=\dfrac{47\pi}{5}

3 0
3 years ago
Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year.
Vlad1618 [11]

Answer:

Use the formula.

P=P'(1-R/100)^T

where,

P=final rate

P'=initial rate

R=Rate of Depreciation

T=Time.

3 0
3 years ago
A giraffe can run 40 meters per second what is its speed in miles per hour
lora16 [44]
Bearing in mind that, there are

60 seconds in 1 minute,
60 minutes in 1 hr,
1000 meters in 1 km,
and 1.609 km in 1 mile

\bf \cfrac{40\underline{m}}{\underline{s}}\cdot \cfrac{60\underline{s}}{\underline{min}}\cdot \cfrac{60\underline{min}}{hr}\cdot \cfrac{\underline{km}}{1000\underline{m}}\cdot \cfrac{mi}{1.609\underline{km}}\implies \cfrac{40\cdot 60\cdot 60\cdot  mi}{hr\cdot 1000\cdot 1.609}&#10;\\\\\\&#10;\cfrac{144000mi}{1609hr}\approx 89.496581\frac{mi}{hr}
6 0
3 years ago
If y varies directly with x, with k=0.75,what is the value of y when x=12
erma4kov [3.2K]

Answer:

9

Step-by-step explanation:

y=x

y=kx

substitute k for 0.75 and x for 12 in the above equation

y=0.75×12

y=9

7 0
3 years ago
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