83 PTS!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape.

Answer:

Sure, I'd be happy to help you with these problems!

Simplifying square root expressions:

√121 = 11

The square root of 121 is a rational number because it can be expressed as a ratio of two integers (11/1).

√48 = √(16*3) = √16 * √3 = 4√3

The square root of 48 is an irrational number because it cannot be expressed as a ratio of two integers.

Simplifying cube root expressions:

3√81 = 3√(3^4) = 33 = 9

The cube root of 81 is a rational number because it can be expressed as a ratio of two integers (9/1).

3√(-64) = 3√(-444) = 34√(-4) = 12i√2

The cube root of -64 is an irrational number because it cannot be expressed as a ratio of two integers. However, it can be expressed as a product of a rational number (4) and an imaginary number (i√2), where i is the imaginary unit (i.e., i^2 = -1). Therefore, the simplified form of this expression is an imaginary number.

1. √121:

To simplify this expression, we need to find the square root of 121. The square root of 121 is 11, since 11 * 11 = 121. Therefore, the simplified form of √121 is 11.

Since 11 is a whole number, it is considered a rational number.

2. √48:

To simplify this expression, we need to find the square root of 48. We can simplify it by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3.

Taking out pairs of identical prime factors, we get √48 = √(2 * 2 * 2 * 2 * 3) = 2 * 2 * √3 = 4√3.

The simplified form of √48 is 4√3.

Since 4√3 cannot be expressed as a fraction, it is considered an irrational number.

Now let's simplify each cube root expression and describe the simplified form as rational or irrational.

3. 3√81:

To simplify this expression, we need to find the cube root of 81. The cube root of 81 is 4, since 4 * 4 * 4 = 81. Therefore, the simplified form of 3√81 is 4.

Since 4 is a whole number, it is considered a rational number.

4. 3√-64:

To simplify this expression, we need to find the cube root of -64. The cube root of -64 is -4, since -4 * -4 * -4 = -64. Therefore, the simplified form of 3√-64 is -4.

Since -4 is a whole number, it is considered a rational number.

In summary:

- √121 simplifies to 11, which is a rational number.

- √48 simplifies to 4√3, which is an irrational number.

- 3√81 simplifies to 4, which is a rational number.

- 3√-64 simplifies to -4, which is a rational number.

Answer: 33

Step-by-step explanation:
36 / 4 = 9
24 + 9 = 33

Answer:

33

Step-by-step explanation:

Answer: 188,736

Step-by-step explanation:

The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.

0.983 * 192,000 = 188,736

Answer:

17.5

Step-by-step explanation:

x=2

y=7

when y by x, then multiple y by 5.

7/2= 3.5

3.5×5= 17.5

you can also do 7x2 which would give you 14 and then divide 7 by 2 to get 3.5, and add the two together, so 14+3.5=17.

C is the answer to this mcq

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]

[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]

[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The answer to your problem is, D. Yes, because 2 + 3 = 5.

Step-by-step explanation:

Refer to the converse of the pythagorean theorem. We need to have both sides equal to each other to have a right triangle.

So we need to have:

[tex]a^{2} + b^{2} = c^{2}[/tex]

We would need to fill out the problem and replace A, B, and C. Which leads to either being B or D

The longest side is the hypotenuse and the value of c.

Thus the answer to our problem is, D. Yes, because 2 + 3 = 5

If p is the pounds bought we want...

8p ≥ 40

p ≥ 5

Answer:

3:4

Is the required answer

Answer:

The volume of the gift is 343 cubic centimeters.

The volume of the gift box is 729 cubic centimeters.

Justin needs 386 cubic centimeters of bubble wrap to fill the empty space in the gift box.

Justin needs 294 square centimeters of wrapping paper to wrap the gift box for his mom.

B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.

Answer:

Choose Choice B

Step-by-step explanation:

45-19 is 26.

All of the other equations don't make sense except B

1 Because 100% of something is 1 - at least reduced

Answer: 1

Step-by-step explanation:

Answer:

636.4 cm³

Step-by-step explanation:

Answer:

SEE BELOW.

Step-by-step explanation:

1) 5/40

gcf = 5

5 ÷ 5 /    40  ÷ 5

= 1/8

2) 2/12

1/6

3) 3/9

= 1/3

4) 4/36

1/9

5) 6/40

3/20

6) 7/49

1/7

7) 6/50

3/25

8) 8/12

4/6

2/3

9) 9/90

1/10

10) 14/32

7/16

11) 25/65

5/13

12) 18/64

9/32

13) 24/54

4/9

14) 8/60

4/30

2/15

15) 22/34

11/17

16) 35/84

5/12

17) 48/104

6/13

18) 16/128

1/8

19)36/108

= 1/3

20) 38/152

1/4

Answer:

The is 20 hours I think

Step-by-step explanation:

That is when 2 lines meet up when they are the same difference from Kansas City.

Answer:

I think D? sry if its wrong tho :/

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: 65 advance tickets

Step-by-step explanation:

Answer:

Advance tickets sold: 30

Same-day tickets sold: 25

Step-by-step explanation:

So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].

Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.

Now, let's form a system of equations with this information.

[tex]25x+35y=1625\\x+y=55[/tex]

Step 1: Rearrange equation so that it solves for a variable

[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]

Step 2: Substitute

[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]

Step 3: Simplify

[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]

So the number of advance tickets sold are 30.

Now, let's solve for the number of same-day tickets sold.

Step 4: Solve for y

Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.

[tex]y=-30+55\\y=25[/tex]

The number of same-day tickets sold are 25.

Hope this helped ya :)

You need 11 stars for 4/5 of the total stars to black.

Answer: 10 is the greatest and -8 is the least

Step-by-step explanation:

10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are

Answer:

vertically opposite angles

Step-by-step explanation:

A=66°

Answer:

42°

Step-by-step explanation:

This is defined as a transversal in geometry, where one line intersects two straight lines.

It is given that one of the angles is 42°. Let the angle that measure 42° be denoted as ∠42.

∠4 ≅ ∠42 based on the alternate interior angles theorem.

∠4 ≅ ∠7 based on the vertical angles theorem.

Therefore, ∠42 ≅ ∠7 based on CPCTC.

Therefore,

m∠7 = 42°.

~

Learn more about proofs, here:

https://brainly.com/question/28866195

Answer:677890-= solution ?

Step-by-step explanation:

98-0890'

that's the solution

Answer:

Step-by-step explanation:

The answer is 200 km.

Answer:

True

False

False

True

False

Option 1 : 1/20 × 200

Option 3 : 10

Above options are only correct for the given question.

First of all, let us calculate the value of 5% of 200

⇒ 5/100 × 200 = 1/20 × 200 = 10

Now, check each option whether they give the same value i.e., 10.

Option 1 : 1/20 × 200

⇒ 1/20 × 200 = 10

Hence, the above expression is equivalent to 5% of 200.

Option 2 : 1/5 × 200

⇒ 1/5 × 200 = 40

Hence, the above expression is not equivalent to 5% of 200.

Option 3 : 1/2 ÷ 200

⇒ 1/2 ÷ 200 = (1/2) × (1/200) = 1/400

Hence, the above expression is not equivalent to 5% of 200.

Option 4 : 10

This option is correct as the value of 5% of 200 is 10.

Option 5 : 5

This option is incorrect as the value of given expression is 10.

To learn more about Percentage :

https://brainly.com/question/16797504?referrer=searchResults

Answer:

48 = {1,2,3,6,8,48.}

Step-by-step explanation:

These are the factors if 48. if it's correct please let me know.