On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and one with a side length of 3 inches.

Which statement is true about the two triangles?


The two triangles are the same shape but not the same size.

The two triangles are the same size but not the same shape.

It is impossible to construct equilateral triangles with these side lengths.

The two triangles are the same size and same shape.

Answer:

Structure of Mathematical Systems Mathematics can be divided into four major areas- higher arithmetic, algebra, geometry, and analysis.

Answer:

Sorry I didn't get the answer option first

Step-by-step explanation:

higher arithmetic, algebra, geometry, and analysis.

Arithmetic: It is the oldest and the most elementary among other branches of mathematics. It deals with numbers and the basic operations- addition, subtraction, multiplication, and division, between them.

Algebra: It is a kind of arithmetic where we use unknown quantities along with numbers. These unknown quantities are represented by letters of the English alphabet such as X, Y, A, B, etc. or symbols. The use of letters helps us to generalize the formulas and rules and also helps you find the unknown missing values in the algebraic expressions and equations.

Geometry: It is the most practical branch of mathematics that deals with shapes and sizes of figures and their properties. The basic elements of geometry are points, lines, angles, surfaces and solids.

There are some other branches of mathematics that you would deal with in the higher classes.

Trigonometry: Derived from two Greek terms, i.e., trigon (means a triangle) and metron (means measurement), it is the study of relationships between angles and sides of triangles.

Analysis: It is the branch that deals with the study of the rate of change in different quantities. Calculus forms the base of analysis.

If the problem is (5y)³ then the following is true,

Answer:

(5y)(5y)(5y)

Step-by-step explanation:

(5y)³ means that (5y) is being multiplied by itself three times. This can be written as (5y)(5y)(5y).

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

5y × 5y × 5y

Step-by-step explanation:

Answer:

[tex]2\frac{5}{12}[/tex] is your answer.

Step-by-step explanation:

[tex]7\frac{2}{3} -(1\frac{2}{4} +3\frac{6}{8} )\\\\\frac{23}{3} -(\frac{6}{4} +\frac{15}{4}) \\\\\frac{23}{3} -(\frac{21}{4})\\\\\frac{92-63}{12} \\\\\frac{29}{12} \\\\2\frac{5}{12}[/tex]

Answer:

4

Step-by-step explanation:

because when you add y=4 the answer you get is 4

Answer:

2y+8+9x

Step-by-step explanation:

2(y+4)+3(x+2x)

times 2 into y and 4 and times 3 into x and  2x

2y+8+3x+6x

add both 3x and 6x x

2y+8+9x

Answer:

Since J = 3, K = 6, and M = 12, the equation means:

(3 • 6) + (4 • 12 ÷ 2) = ???

Step-by-step explanation:

This is because when variables are next to each other and we know what they are equal to, it is the same as saying 3 • 6. So, when two variables are next to each other, they are being multiplied. Same with 4m/2. / can also mean division. And since 4 is next to m, the two are being multiplied. All together, the answer to this equation is 42. Hope this helped!

Answer:

(3*6) +((4*12)/2)

Step-by-step explanation:

j=3 k=6 M=12

two variables next to each other is multiplication

and use order of operations (PEMDAS)

42 is the answer

Answer:

D

Step-by-step explanation:

Label the coordinate plane with the numbers so you can see it, you can also use a coordinate plane from online for a reference

Step-by-step explanation:

The answer is b. an obtuse. This is because if it were a right-angled triangle, then 90 + 30 + 40 would equal 180 and it doesn't. It's obtuse because 30 + 40 = 70, and triangles have to add up to 180° so the last angle would need to be 110°, which is an obtuse angle. I hope this helps!

Answer:

70.74

Step-by-step explanation:

c

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

An example is 4/6 or 6/9

The answer to this question is: 15

Answer:

A

Step-by-step explanation

Well the boys can be chosen again all in a row but the girls cdan't therfore the answer is A

Hope This Was Helpful!

Answer:

Step-by-step explanation:

A=a+b2h=13+312·16=352

Answer:

352

Step-by-step explanation:

If we use the area formula for trapezoid which is A=h((a+b)/2) and we plug in which would be ((13 + 31) /2 )* 16 we get 352

Answer:

approximately 0.577215664901532860606512....

Answer: c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

covert all to fractions

3*5 to get 15 and then add 2 to get 17/5

5*5 to get 25 and then add 1 to get 26/5

2*5 to get 10 and then add 4 to get 14/5

remember your signs and get

17/5 + 26/5 - 14/5

Answer:

Place a filled in dot on the 8 and make a line to the right.

Step-by-step explanation:

hope this helps you :)

Answer:

91 total coins

63 quarters, 21 dimes, 7 nickels

Step-by-step explanation:

What I did first was did (9 * 0.25) + (3 * 0.10) + (1 * 0.05) to establish a formula.  Next, I did trial and error until I met the appropriate number, but since they needed to stay within a ratio, every time I increased the nickels by one, I needed to increase the dimes by 3 and the quarters by 9.  I eventually got to (63 * 0.25) + (21 * 0.10) + (7 * 0.05) = $18.20

A dollar is usually divided as nickels, dimes and quarters. The total number of coins Inaaya have in her jar is 91

Suppose the real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where [tex]x[/tex] is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

For the given case, let Inaaya has got the number of coins per type as:

Thus, total number of coins she get = x + y + z

Since we know that: a Nickel = $0.05, a Dime = $0.10, and a Quarter = $0.25

Thus,

Total value of money = [tex]$0.05 \times x + 0.10 \times y + 0.25 \times z[/tex] (in dollars)

Since it is given that she has got total amount in dollars as $18.20, thus,

[tex]0.05x + 0.1y + 0.25z = 18.2\\[/tex]

Also, let the ratio given is by cancelling a factor F, then

as it is given that:

Number of quarter : Number of dime : Number of nickel = 9 : 3 : 1

Then, using the equation we got for x, y, and z, we get:

[tex]0.05x + 0.1y + 0.25z = 18.2\\\\0.05(F) + 0.1(3F) + 0.25(9F) = 18.2\\0.05F + 0.3F + 2.25F = 18.2\\2.6F = 18.2\\F = 18.2/2.6 = 7[/tex]

Thus, number of quarters = 9F = 9 times 7  = 63

Number of dimes = 3F = 3 times 7 = 21

Number of nickels = 1F = F  = 7

Total coins = 63 + 21 + 7 = 91

Thus, the total number of coins Inaaya have in her jar is 91

Learn more about solving linear equations here:

https://brainly.com/question/13722693

Answer:

4

Step-by-step explanation:

The median is the middle number

There are 15 data points

15/2 = 7.5

The middle number is the 8th number

The median is 4

Answer:

4

Step-by-step explanation:

median you need to put the numbers in order

2, 2, 2, 3, 4, 4, 4, 4, 6, 6, 7, 7, 7, 8, 9

then you cancel them out one by one

2, 2, 2, 3, 4, 4, 4, 4, 6, 6, 7, 7, 7, 8, 9

x. x. x. x. x. x. x. x. x. x. x. x. x. x

4 is the median

Answer:

1.

2.

Using the example of- 1, 2, 2, 3, 3, 3, 4, 5, 6, 7

Mean- Average, (the sum of every value)/10(# of values)= 3.2

Median- 3 (even though there are 2 3s, but add them up and divide the sum by 2)

Mode- 3

3. Well... you could use these data to do science reports etc, ofc in the world of academics, you would need to use this kind of statistics terms a lot. In normal life, you might have to compare the price of similar products and see which is the best to purchase, seeing the value of the median of the entire set of data.

Step-by-step explanation:

Answer:

4.9y² + 2y + 4.7

Distributive property

Step-by-step explanation:

[tex]3.9y^2+5.8+4y-1.1-2y+y^2[/tex]

collect and combine like terms:

[tex]\implies 4.9y^2 +2y+4.7[/tex]

Distributive property

The distributive property states that an expression which is given in form of A (B + C) can be solved as A x (B + C) = AB + AC.  Similarly, A (B - C) can be solved as A x (B - C) = AB - AC

Answer:

reflection over y axis

Step-by-step explanation:

it flips over the y axis like a mirror

Answer:

i dont either.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

i just eliminated A B and C and the only answer it remained was D so your welcom

Answer:

B Twenty eights fifteenths!!

Step-by-step explanation:

Answer:

5-3x12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

rate of change of function b = (9-1)÷2=4

Answer:

x= 2 5/6

Step-by-step explanation:

1/3= 2/6

2 1/2= 2 3/6

2/6+ 2 3/6= 2 5/6

Hope this helps! :)

Answer: True.

Step-by-step explanation:

A rational number can be written as a ratio because a rational number is a number that is written as a ratio of 2 integers. A rational number is written in pq format where p and q are the integers. The numerator and denominator are integers.

Answer:

1) y = -1/2x - 1

2) y = -1

3) y = -2/4

4) y = 5/2 - 3

Step-by-step explanation:

1)

use rise (up or down) over run (left or right)

the rise is -1

the run is 2

therefore, the slope is -1/2

the y intercept is -1 (y intercept is when it touches the Y line)

y = -1/2x - 1

2)

y = -1

3)

y = -2/4

4)

y = 5/2 - 3

Let me know if this helps