If Hector is 8 years old and Mary is 3 years old, how old will Mary be when Hector is 16? Can I use proportional reasoning in here

Answer:

A postulate is a statement that is assumed to be true based on basic geometric principles. A theorem is a mathematical statement that can and must be proven to be true.

Step-by-step explanation:

www.ck12.org

Answer:

A thorem is true and can be proven true vs a postulate is guessed true without any evidence.

Step-by-step explanation:

A theorem is a group of statements that are used to prove something else, whereas a postulate is a statement that is not proved but is true through reasoning.

Answer:

put

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The given statement is true.

Area of a rectangle is length times width.

A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.

[tex]A=l*w\\\\A=4*5\\\\A=20[/tex]

Hope this helps.

Answer:

False

Step-by-step explanation:

There can be two sets of side lengths 4, 5 inches and 2, 10 inches.

Answer:

The answer is B: I  IV II  III

Step-by-step explanation:

Just did it

The sequence for the derivation of tangent sum identity is option I --> IV --> II --> III.

The trigonometric identities is the relationship between the different trigonometric ratios. These trigonometric identities are the basic formulae that are true for all the values of the reference angle.

For the given situation,

The derivation for the tangent sum identity is given in the table below.

The derivation follows the steps,

[tex]\frac{sin(x+y)}{cos(x+y)}[/tex]

we know that, [tex]sin(x+y) = sinx cosy + cosx siny[/tex] ,

[tex]cos(x+y)=cosxcoxy - sinxsiny[/tex] and

[tex]\frac{sinx}{cosx}=tanx[/tex]

⇒ [tex]\frac{sinxcosy + cosxsiny}{cosxcosy-sinxsiny}[/tex]

Divide each term by [tex]cosxcosy[/tex]

⇒ [tex]\frac{\frac{sinxcosy}{cosxcosy} +\frac{cosxsiny }{cosxcosy} }{\frac{cosxcosy}{cosxcosy} -\frac{sinxsiny}{cosxcosy} }[/tex]

⇒ [tex]\frac{tanx+tany}{1-tanxtany}[/tex]

Hence we can conclude that the derivation of tangent sum identity is option I --> IV --> II --> III.

Learn more about trigonometric identity here

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Area of triangle = 1/2 x base x height.

Area = 1/2 x 16 x 1/8

Area = 8 x 1/8

Area = 1 square inch

The area of the triangle calculated using the area formula is 1 in²

Given the Parameters :

Area of a triangle can be obtained using the relation :

Substituting the Parameters into the equation :

Area of triangle = 1/2 × 16 × 1/8 = 1 in²

Therefore, the area of the triangle is 1 in²

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Answer:

594 > -11n

Step-by-step explanation:

the answer is c lol

Answer:

The answer is C

Proof:

Step-by-step explanation:

Answer:

41.3111111111

Step-by-step explanation:

1859/45 = 41.3111111111

Answer:

41.31 with the 1 repeating.

Step-by-step explanation:

Answer:

irrational numbers

Step-by-step explanation:

8.

sqrt(13) is not a whole number, a natural number, an integer, or a rational number.

Answer: irrational numbers

Answer:

192

Step-by-step explanation:

16 × LCM = 3072

LCM = 3072 ÷ 16

LCM = 192

Answer:

B

Step-by-step explanation:

Same as last. multiple 8 into the entire equation.

Answer:

-80x+28y-56

4(-20x+7y-14)

Step-by-step explanation:

Answer:

6 times

Step-by-step explanation:

If Andrea jumps 5 times every 45 minutes, she will jump 1 time every 9 minutes. 54 divided by 9=6 times. Hope it helps!

Answer:

no idea

Step-by-step explanation:

Answer:

3 is the slope

Step-by-step explanation:

Mathematically, a linear function can be represented in the form;

y = mx + c

where m represents the slope and c is the y-intercept of the function.

In the equation given in the question above;

The slope of the equation is 3

What this means is that, the average rate of change between two points in the plot of the linear function is 3

Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3

Answer:

b

Step-by-step explanation:

400*.08

32.00

Answer:

its B

Step-by-step explanation:

Answer:

[tex]-1/13\text{ tub per hour}[/tex]

Step-by-step explanation:

First, let's find how much of the tub was used within the time.

We know that the tub was 2/3 full was Jenna started.

And it was only 1/6 full when Jenna ended.

Therefore, to find the amount used, we can subtract 1/6 from 2/3. So:

[tex]u=\frac{2}{3}-\frac{1}{6}[/tex]

Make a common denominator. Change 2/3 to 4/6 by multiplying both layers by 2. So:

[tex]u=\frac{4}{6}-\frac{1}{6}[/tex]

Subtract and reduce:

[tex]u=\frac{3}{6}=\frac{1}{2}[/tex]

Therefore, 1/2 of the tub was used after 6 1/2 hours.

To find the average hourly change, we will put the amount used over the amount of hours. 6 and 1/2 hours is the same as 13/2 hours. Therefore, the hourly change will be:

[tex]c=\frac{\frac{1}{2}}{\frac{13}{2}}[/tex]

Remember when dividing fractions, we:

1) Flip the divisor (the second number).

2) Change the division sign to a multiplication sign.

3) Multiply.

So:

[tex]c=\frac{1}{2}\div\frac{13}{2}\\\Rightarrow c=\frac{1}{2}\times \frac{2}{13}[/tex]

Multiply straight across and reduce:

[tex]c=\frac{2}{26}=\frac{1}{13}[/tex]

However, since we are using up the tub, our rate will be negative. Therefore:

[tex]c=-\frac{1}{13}[/tex]

Therefore, the average hourly rate was -1/13 tub per hour.

This means that after each hour, 1/13 of the tub will be used up.

Edit: Corrected Wrong Answer

Answer: -1/13 of a tub per hour

Step 1: Subtract.

2/3 - 1/6 = ?

Step 2: Find the common denominator.

4/6 - 1/6 = 3/6.

Step 3: Simplify the fraction.

3/6 = 1/2

Step 4: Put 1/2 over 13/2.

1/2 over 13/2

Step 5: Flip divisor around. Then divide.

1/2 ÷ 13/2

Step 6: Multiply.

1/2 × 2/13 = 2/26.

2/26 reduced = 1/13.

Since it was used, now it is -1/13

Answer = -1/13 of a tub per hour

Answer:

positive 40, just regular 40

Step-by-step explanation:

Positives and negatives are opposites

Answer:

The answer is B.

Reasoning:

A. 5 + (-17) = -12✔

B. -17 - 5 = -22 ✖

C. -17 + 5 = -12 ✔

D. -12 ✔

Answer:

B: -17+5

Step- by- step explanation

Answer:

The taxi costs $1 just to get into a taxi

Step-by-step explanation:

The base cost the taxi charges for it to be hired is $1 which is the point on the graph where the line intercepts the y-axis. At that point, distance or miles travelled is 0.

Therefore, we can conclude that the taxi would charge a customer for just to get a taxi, and the total cost will be dependent on the additional charges paid in addition based on the number of miles the customer will be driven to their destination.

The $1 is just the charge fee paid by the customer in addition to the per-mile charge he would pay.

Answer:

5 dollars

Step-by-step explanation:

an ice cream is 3 dollars and 1 ounce of toppings is 50 cents 0.5 dollars times 4 equals 2 dollars. so 3+2 equals 5

Answer:

$5.00 I believe.

Step-by-step explanation:

Answer:

Ok so the fraction is 3/4

I'm letting google answer the other question though.

Step-by-step explanation:

Let's find out by replacing d with -12. Then we'll simplify the left side

|d+9| = 3

|-12+9| = 3 .... replace d with -12

|-3| = 3

3 = 3

Since we get a true statement, ie the same thing on both sides, this means the original equation is true when d = -12.

Therefore d = -12 is one of the two solutions to the original equation.

Answer:

True

Step-by-step explanation:

We can check this by substituting x = - 12 into the left side of the equation. If the result is equal to the right side then it is a solution.

| - 12 + 9 | = | - 3 | = 3 = right side

Thus x = - 12 is one of the solutions to the equation.

[ The other solution is x = - 6 ]

Answer:

What is the question?

Step-by-step explanation: .

Answer:

WHATS THE QUESTION

Step-by-step explanation:

i believe it is both but im not 100%

Answer:

520 words

Step-by-step explanation:

Do 130 words divided by 5 minutes to get 26 words per minute.

Then you do 26 times 20 to get the answer of 520

hope this helps!!

Answer:

520 words.

Step-by-step explanation:

We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.

Answer:

30

Step-by-step explanation:

20 divided by 12 is 5/3.

18x5/3 is 30, meaning the missing side is 30.

The value of x from the diagram is 30

These are shapes with the same sides and angles

From the given figures, we are to get the value of x as shown.

Using the similarity theorem;

Cross multiply

12x = 18 * 20

12x = 360

x = 30

Hence the value of x from the diagram is 30

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Answer:

7.53 x 10²

Step-by-step explanation:

10² two time the 10 is 100

Answer:

Uuuuuuuh. What is n? There's no n in your question.

Step-by-step explanation:

Also that scientific notation equation there is false. It would be 7.53x10 to the 10th power.

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

Answer:

x=−3

Step-by-step explanation?

i did the math