Ask question

Ask question

All categories

3 years ago

14

The length of a rectangle is 11 in. longer than its width. the perimeter of the rectangle is 86 in.write and solve an equation t

o determine the rectangle's length. explain each step you perform.

1 answer:

Tcecarenko [31]3 years ago

6 0

I hope this helps you

width w

length w+11

perimeter =2 (width +length )

86=2 (w+w+11)

43=2w+11

32=2w

w=16

length = w+11=16+11=27

You might be interested in

Which fraction is in reduced form?

kompoz [17]

Answer:

C 5/13

Step-by-step explanation:

A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:

A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5

B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3

C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction

D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3

8 0

3 years ago

Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein

Bad White [126]

Answer:

The rate at which water is being pumped into the tank is 13,913.27 cubic centimetre per minute

Step-by-step explanation:

Given that, the height of the conical tank is 13 meters and diameter is 3 meters.

Radius = $\frac32$ meters

$\therefore \frac{radius }{height}=\frac {\frac{3}{2}}{13}$

$\Rightarrow \frac{radius }{height}=\frac {3}{26}$

$\Rightarrow radius=\frac {3}{26}\times height$ ......(1)

The volume of the cone is $V=\frac13 \pi r^2 h$

Now putting $r=\frac{3}{26} h$

$V=\frac13 \pi (\frac3{26}h)^2 h$

$\Rightarrow V=\frac{3}{676} \pi h^3$

Differentiating with respect to t

$\frac{dV}{dt}=\frac{3}{676}\pi .3h^2 \frac{dh}{dt}$

$\Rightarrow \frac{dV}{dt}=\frac{9}{676}\pi h^2 \frac{dh}{dt}$

Given that, the water level is rising at a rate of 17 cm per minute when the height 1 meter= 100 cm .i.e $\frac{dh}{dt}=17$ cm/min

Putting $\frac{dh}{dt}=17$

$\frac{dV}{dt}=\frac{9}{676}\pi h^2 \times 17$

$\frac{dV}{dt}|_{h=100}=\frac{9}{676}\pi (100)^2 \times 17$

≈7,113 cubic centimetre per minute

The volume of water increases 7,113 cubic centimetre per minute while 6,800 cubic centimetre per minute is leaking out.

It means the required rate at which water is being pumped into the tank is

=(7,113+6,800)cubic centimetre per minute

=13,913 cubic centimetre per minute

4 0

3 years ago

John's goal is to have more than −7-7 −7 minus, 7 dollars in his bank account by the end of the month. The variable dd d d is th

lorasvet [3.4K]

Answer:

John should avoid over drafting his bank account!

d > -7

Step-by-step explanation:

7 0

3 years ago

Ivanshal [37]

Answer:

4,000 mm

Step-by-step explanation:

4 x 1,000= 4,000

5 0

3 years ago

A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.

Kryger [21]

Answer:

1256 PIES CUADRADOS

Step-by-step explanation:

A = 3.14 $(20 ft)^{2}$ = $1256 ft^{2}$

8 0

3 years ago

Read 2 more answers