Find the Area of the Parallelogram!

Answer:

360 square inches

Step-by-step explanation:

There are 360 square inches in 2.5 square feet.

To find out how many square inches are in 2.5 square feet, we need to multiply the number of square feet by the conversion factor.

Given that there are 144 square inches in 1 square foot, we can set up a proportion to solve for the number of square inches in 2.5 square feet:

1 square foot = 144 square inches

2.5 square feet = x square inches

Setting up the proportion:

1 square foot / 144 square inches = 2.5 square feet / x square inches

Cross-multiplying the proportions:

(1 square foot) x square inches = 144 square inches  (2.5 square feet)

Simplifying the equation:

x square inches = 144 square inches (2.5 square feet)

Multiplying the values:

x square inches = 360 square inches

Therefore, there are 360 square inches in 2.5 square feet.

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Answer:

6.4 ft

Step-by-step explanation:

Let “a” be the light post height

Let “b” be the length of the shadow

Let “c” be the distance from the top of the light post to the end of the light post’s  shadow.

Then:

(a X a) + (b X b) = c X c

The Pythagorean Theorem will work pretty well here:

(4 X 4) + (5 X 5) = 16 + 25 = 41

The square root of 41 is: 6.4023

So, about 6.4 ft from the top of the post to the end of the shadow

Answer:

6.4ft

Step-by-step explanation:

The pie chart is presented in 3D. While it may look interesting or cool, it's better to convey the data in a flat 2D form instead. The reason why is because it's possible to perceive some slices to be larger than they actually should be. The green slice shows the thickness of it, or the height of the pie slice. The same is for the yellow slice as well. We cannot see the thickness portions of the red or blue slices. So it's very possible that a reader may think that the yellow slice is larger than the blue one, even though they represent the same percentages (so the slices should be the same size).

Also, there's a worry that slices in the back further away from the camera will appear smaller due to the 3D nature of the graph. This helps make the yellow slice (which is closer to the camera) appear slightly larger than the blue slice (further away from the camera). These are slight differences that may be overlooked and could not be an issue; however, it is possible to distort things and make the differences greater. So that's one thing you have to be careful about when it comes to 3D graphs like this. The author of this graph may have not had an intention to deceive, and they may have simply wanted to make it look nice and catch the eye better, but there's no way of knowing for sure. It's simply best to always be on the lookout for anything misleading like this. It happens quite often in statistics.

Answer: (-2,4) to (2,-2)

go up 1 from the origin

then 2 to left since it’s -2

3 up since it’s 3

go up 1 from the origin

then 2 right since it’s 2

3 down since it’s -3

Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8

Answer:

4x−5x−1

cos(x1−sin2(x)

Step-by-step explanation:

-14 and -3 are the two factors of 42 which has as a sum of -17

What are Factors of a Number?

Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder

Given data ,

The number = 42

The number has both negative and positive factors

The factors of the number 42 are

The positive factors of 42 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42

The negative factors of 42 are -1 , -2 , -3 , -4 , -6 , -7 , -14 , -21 , -42

Product of -14 and -3 = -14 x -3

                                   = 42

Sum of -14 and -3 = ( -14 ) + ( -3 )

                             = -17

Hence , -14 and -3 are the two factors of 42 which has as a sum of -17

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Answer:

$6

Step-by-step explanation:

the fixed cost = $13

the variable cost is unknown. It depends on the rounds played. according to the question the additional rounds played is 5 (6 - 1) .Represent the variable cost with x

the next equation can be formed using variables from the question :

$43 = $13 + 5x

collect like terms

$43 - $13 = 5x

$30 = 5x

divide both sides of the equation by 5

x = $6

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Answer:

Well,for me it's letter C.

Answer:

da.mn im sorry....not rlly sorry bc i didnt do anything to u but yh.

Step-by-step explanation:

Answer:

James will need to buy 3 boxes of crackers for the party.

Step-by-step explanation:

remember: 16oz=1 pound

If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.

hope this helps!

Answer:

3 boxes

Step-by-step explanation:

First, calculate how many oz in one pound: 16 oz = 1 pound

Now we know that our situation includes smaller to larger.

Since we are going smaller to larger, we need to multiply.

You should multiply 20 x 3 = 60 oz from what I learned.

60 oz = 3.75 pounds. In another situation you would round, but who cares about rounding. Your answer is 99.100% correct

If this was wrong, I'm sorry. The way I learned is smaller to larger: multiply; larger to smaller: divide.

Hopefully, this was right!

Answer:

A

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

    = πr² × [tex]\frac{150}{360}[/tex]

    = π × 12² × [tex]\frac{15}{36}[/tex]

    = 144π × [tex]\frac{5}{12}[/tex] ( cancel 144 and 12 by 12 )

    = 12π × 5

    = 60π

     ≈ 188.5 Km² ( to the nearest tenth ) → A

Explanatio⁣n i⁣s i⁣n a fil⁣e

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Answer:

9√2

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact form:9√2

Decimal form: 12.72792206

Answer:

34.8 to 1 dp

Step-by-step explanation:

18/2 = 9

Area of rectangle 18 X 9 = 162 cm^2

diameter of each circle 9

radius = 4.5

Area of a circle = πr^2

π X 4.5^2 = 63.6172512

63.6172512 X 2 (there are 2 circles) = 127.234502

162 - 127.234502 = 34.7654975

34.8 to 1dp

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

a

Step-by-step explanation:

73+25=98

66+32=98

Answer:

A. {-1, -3, -7, -9}

Step-by-step explanation:

Plug all 4 points into the equation -2x-5.

-2(-2) - 5 = 4 - 5 = -1

(-2, -1)

-2(-1) - 5 = 2 - 5 = -3

(-1, -3)

-2(1) - 5 = -2 - 5 = -7

(1, -7)

-2(2) - 5 = -4 - 5 = -9

(2, -9)

The y-values make up the range, making the answer A, {-1, -3, -7, -9}

Answer:

A. {-1,-3,-7,-9}

Step-by-step explanation:

Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}

...................................................................................................................................................

Answer:

{-1, -3, -7, -9} is  the range of the function f(x)

Step-by-step explanation:

Domain is the set of all complete possible values of x variable.

Range is the set of all values of f(x)

Given the function:

       .....[1]

Domain: {-2, -1, 1, 2}

For x = -2,

Substitute in [1] we have

Similarly ,

For x = -1

For x = 1:

For x = 2

Therefore, the range of f(x) = {-1, -3, -7, -9}

Answer:

Step-by-step explanation:

So you want to isolate the y, so add 4x to both sides of the problem. So now we have y < -7 + 4x. Now since adding can go both ways (in its own equation) you can turn around the 7 and 4. So we have y < 4x -7

Answer:

the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Step-by-step explanation:

Given that

The sales tax rate is 8%

And, the purchase price of sweatshirt is $20

We need to find out the sales tax and the total purchase amount

The sales tax is

= $20 × 8%

= $1.60

And, the total purchase amount is

= $20 + $1.60

= $21.60

Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Answer:

7.20

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

There are two crosses before 1 1/2 on the graph :)

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer: The answer is 16

Step-by-step explanation: You divide the whole line segment by two to get only the half of the line segement.

Answer:

the slope is -2/1 or -2x

equation is y= -2x-5

Answer:

[tex]7 \sqrt{3} [/tex]

tan(60°)=x/7

7tan(60°)=x

Answer:

The answer to this question is 68

Answer:

m∡ABD = 68°

Step-by-step explanation:

let x = m∡ABD

44 + 2x = 180

2x = 136

x = 68