Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s tool shed?

Answers

Answer 1

Answer: 96/8=12 so the answer is 12m

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2x-1/6 = 2(x-3)/3 + 1?

Answers

$2x-(1)/(6)=(2(x-3))/(3)+1\ \ \ \ |multiply\ both\ sides\ by\ 6\n\n6(2x)-6((1)/(6))=6\left((2x-6)/(3)\right)+6(1)\n\n12x-1=2(2x-6)+6\n\n12x-1=2(2x)+2(-6)+6\n\n12x-1=4x-12+6\n\n12x-1=4x-6\ \ \ \ |add\ 1\ to\ both\ sides\n\n12x=4x-5\ \ \ \ \ |subtract\ 4x\ from\ both\ sides\n\n8x=-5\ \ \ \ |divide\ both\ sides\ by\ 8\n\n\boxed{\boxed{x=-(5)/(8)}}$

2x - 1 = 2(x-3)
   6 3 + 1
2x - 1 = 2x - 6
   6 4
4(2x - 1) = 6(2x-6)
8x - 8 = 12x - 36
-8x -8x
   -8 = 4x - 36
+36    +36
    28 = 4x
    28 = 4x
   4 4
   7 = x

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

Answers

10.75 cu.in., as volume of a cylinder is 3 times bigger than volume of a cone, according to their equations:
$V_(cylinder) = \pi^(2) rh V_(cone) = (1)/(3) \pi^(2) rh$

Answer:

option 2nd is correct

volume of a cone is, 10.75 cubic inches

Step-by-step explanation:

Volume of a cone (V) is given by:

$V = (1)/(3) \pi r^2h$ ......[1]

where,

r is the radius of the cone and h is the height of the cone respectively.

As per the statement:

The volume of a cylinder is 32.25 cubic inches.

Volume of a cylinder is given by:

$\text{Volume of a cylinder} = \pi r^2h$

⇒ $32.25 = 3.14 \cdot r^2h$

Divide both side by 3.14 we have;

$10.27 =(r')^2(h')$

$r</p><p>o(r')^2(h)= 10.27$

It is also given that a cone has the same height and radius as the cylinder.

⇒ $r' = r$ and $h' = h$

⇒ $r^2h = 10.27$

Using formula [1] we have;

$V = (1)/(3) \cdot 3.14 \cdot 10.27$

Simplify:

$V = 10.75$ cubic inches

therefore, volume of a cone is, 10.75 cubic inches

PLEASE HELP!!!!!!!! A cardboard box is 32 centimeters long, 15 centimeters wide, and 6 centimeters tall. The box does not have a top. How much cardboard was used to make the box?

Answers

Answer:

1044 cm²

Step-by-step explanation:

Since the box doesn't have the top, the total surface area includes 4 sides and the bottom.

S = 32(15) + 2(32 + 15)(6) = 1044 cm²

Cardboard used is 1044 cm²

1, ½, 0, ...; 16th term

Answers

Answer:

a₁₆ = - $(13)/(2)$

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

$(1)/(2)$ - 1 = - $(1)/(2)$

0 - $(1)/(2)$ = - $(1)/(2)$

this indicates the sequence is arithmetic with nth term formula

$a_(n)$ = a₁ + d(n - 1)

where a₁ is the first term , d the common difference , n the term number

here a₁ = 1 , d = - $(1)/(2)$ , n = 16 , then

a₁₆ = 1 + (- $(1)/(2)$ × 15 ) = 1 + (- $(15)/(2)$ ) = $(2)/(2)$ - $(15)/(2)$ = - $(13)/(2)$

What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unitconversion here:

brainly.com/question/13899873

#SPJ5

Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

How are a trapezoid and a rectangle different

Answers

-- Both pairs of sides of a rectangle are parallel.
Only one pair of sides of a trapezoid are.

-- A rectangle is a parallelogram.
A trapezoid isn't.

-- The opposite sides of a rectangle are equal.
The opposite sides of a trapezoid aren't.

-- All of the angles of a rectangle are right angles.
The angles of a trapezoid aren't.

-- The area of a rectangle is the product of (length) times (width).
The area of a trapezoid is (height) times (the average of the two bases).

A trapezoid has two perpendicular sides, and a rectangle has 4 parallel sides.

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