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3 years ago

9

The sides of a rectangle are a number and 4 less than that same number. The perimeter is 56. Find the dimensions of the rectangl

e

1 answer:

mafiozo [28]3 years ago

4 0

X+x+x-4+x-4=56
4x-8=56
4x=64
x=16

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If a1=47 and d=-5 find a12

Simora [160]

An = a1 + (n-1) * d
a12 = 47 + (12 - 1) * -5
a12 = 47 + 11 * -5
a12 = 47 - 55
a12 = - 8 <==

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3 years ago

How do you solve 22+-88x790

Lina20 [59]

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3 years ago

The equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?

trapecia [35]

Answer:

The radius is 10

Step-by-step explanation:

Given

$x^2 + y^2 + 21 = 40 + 18y.$

Required

The radius

Rewrite as:

$x^2 + y^2 - 18y = 40-21$

Subtract 81 from both sides

$x^2 + y^2 - 18y +81= 40-21+81$

Expand

$x^2 + y^2 - 9y - 9y +81= 40-21+81$

Factorize

$x^2 + y( y- 9) - 9(y -9)= 40-21+81$

Factor out y - 9

$x^2 + (y- 9) (y -9)= 40-21+81$

Express as squares

$x^2 + (y- 9)^2= 100$

$x^2 + (y- 9)= 10^2$

The equation of a circle is:

$(x - a)^2 + (y- b)= r^2$

By comparison:

$r^2=10^2$

$r = 10$

6 0

3 years ago

14-16 and 17-20 <br>I need help figuring this out or answers.

Temka [501]

14 -16=-2 17-20=-3 it's just regular problems backwards

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3 years ago

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic fe

yanalaym [24]

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

$D = 2ft$ -- Diameter

$H = 6ft$ -- Height

Required

Determine the volume

First, calculate the radius (r)

$r = \frac{1}{2}D$

$r = \frac{1}{2}*2ft$

$r = 1ft$

The volume (V) of the tank is:

$V = \pi r^2h$

Substitute values for r and h

$V = 3.14 *1^2*6$

$V = 3.14 *1*6$

$V = 18.84$

<em>Hence, the tank can hold 18.84 cubic feet</em>

4 0

2 years ago