Find the quotient.
3/8÷ 2/7

3/28
1 5/16
16/21
1 3/28

When a shape is rotated, it must be rotated through a point

The new position of point B is point A

The angle of rotation is given as:

[tex]Angle = 288^o[/tex]

The shape is a regular pentagon (with 5 sides).

The smallest angle of rotation that maps the pentagon onto itself is calculated using:

[tex]\theta = \frac{360}n[/tex]

So, we have:

[tex]\theta = \frac{360}5[/tex]

[tex]\theta = 72[/tex]

Let the number of rotations be n.

So, we have:

[tex]\theta \times n= Angle[/tex]

This gives

[tex]72 \times n= 288[/tex]

Divide both sides by 72

[tex]n= 4[/tex]

This means that the new position of B is 4 points away from B.

Point A is 4 points away from B, in clockwise direction

Hence, the new position of point B is point A

Read more about rotation at:

https://brainly.com/question/2283733

Answer:

Step-by-step explanation: plug in 3 for X and then solve

Give me 5 stars

Answer:

I imagine you aren't using calculus, so:

A: the leading term is [tex]1>0[/tex], so it opens upwards.

B. First coordinate of the vertex is [tex]-\frac b{2a}=-\frac42=-2[/tex], the second coordinate we'll find by replacing the value: [tex]f(-2)=(-2)^2+4(-2)-12 = 4-8-12=-16[/tex]

C. Quadratic formula or if you stare at the equation long enough you can rewrite the equation as  [tex]f(x) = (x+6)\times(x-2)[/tex]. At this point the x intercepts are the zeroes of the function, or -6 and 2.

D. The y-intercept is the value of the function at 0, or the constant term: -12

E. The graph has a minimum since the curve opens upwards.

The correct comparison as shown in the figures are:

From the given diagram, we are to fill in the blank spaces with a < or > symbol.

21) The measure of the angles is a function of the measure of the sides.

Since the angle facing the side QR is less than that of QS, hence QR < QS

22) Similarly for this figure, the angle facing the side AB is greater than that of CD, hence AB >  CD

23) Also, for this figure, the side facing the angle m<FJG is greater than the side facing the angle m<HJG, hence m<FJG > m<HJG

24) Also, for this figure, the side facing the angle m<QSP is greater than the side facing the angle m<QSR, hence m<QSP > m<QSR

Learn more on angles here: https://brainly.com/question/16281260

Answer:

x = -2.

y = 3.

Step-by-step explanation:

If y = 3x + 9

Substitute this value for y in the first equation.

4x + 5(3x + 9) = 7

4x + 15x + 45 = 7

19x = 7 - 45

19x = -38

x = -38/19

x = -2.

with this value of x, substitute -2 in the second equation

y = 3(-2) + 9

y = -6+9

y = 3.

check if your values are all correct

4(-2) + 5(3) = 7

-8 + 15 = 15 - 8 = 7

Correct!

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

and

C. 15/21

Answer:

1440

Step-by-step explanation:

Answer:

1125.

Step-by-step explanation:

I'm going to work out the answer is grams.

1kg = 1000g

0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.

225 + 225 + 225 + 200 +250 = 1125.

Hope that helps. x

Answer:

1.125kg or 1125g

Step-by-step explanation:

1kg: 1000g

Butter: 0.225kg or 225g

Sugar: 225g or 0.225kg

Flour: 225g or 0.225kg

Eggs: 0.2kg or 200g

Berries: 250g or 0.25kg

In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125

In g: 225 + 225 + 225 + 200 + 250 = 1125

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.

Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36

Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36

Prime Factors of 36: 2, 3

Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32

Sum of Factors of 36: 91

Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.

Let us do a hit and trial method to find factors of 36.

Divide 36 ÷ 2 = 18

Quotient = 18, remainder = 0

Now multiply 18 × 2 = 36

Hence, 18 and 2 are the factors of 18.

36 is a composite number as it has factors other than 1 and itself.

We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.

The most common method we use to find factors is the prime factorization method.

In prime factorization, we express 36 as a product of its prime factors.

In the division method, we see which numbers divide 36 exactly without a remainder.

Let us calculate factors of 36 using the following two methods:

Factors of 36 by prime factorization factor tree method

Factors of 36 by upside-down division method

Prime Factorization of 36 by Upside-Down Division Method

Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.

With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.

36 ÷ 2 = 18.  Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.

18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.

9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.

Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².

Prime Factorization of 36 by Factor Tree Method

The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.

Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

Explore factors using illustrations and interactive examples

Factors of 33: The factors of 33 are 1, 3, 11, and 33.

Factors of 34: The factors of 34 are 1, 2, 17, and 34.

Factors of 38:  The factors of 38 are 1, 2, 19, and 38.

Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Factors of 35: The factors of 35 are 1, 5, 7, and 35.

Factors of 37: The factors of 37 are 1 and 37.

Factors of 36 in Pairs

Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:

Step I: Start with 1 and the number itself.

Step II: Count up by ones to see if you can multiply two numbers together to get your target number.

Step III: Stop when you can’t get any more numbers in between.

Step IV: Connect the factor pairs.

Factor pairs of 36 are given below:

36 = 1 × 36

36 = 4 × 9

36 = 6 × 6

36 =12 × 3

36 = 18 × 2

Let us club the numbers in pairs.

The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

There are a total of 5 pairs of factors of 36.

We can have negative factors also for a given number.  

Since the product of two negative numbers is positive [(-) × (-) = +].

The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)

There are a total of 5 negative pairs of factors of 36.

Important Notes:

36 is a composite number as it has factors other than 1 and itself.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

1 is a factor of every number.

Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².

Challenging Questions:

Find the factors of 3600 with the help of techniques used in finding factors of 36.

Prove that the factor of a number is always less than or equal to the number itself?

Answer: 5^2.48 is honestly as close as you can get.

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 2√10

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72

Answer:

A (2,2) B (2,4) C (3,2) D (3,3)

Step-by-step explanation:

K = 1/2

K is the scale factor so the distance between points will be cut in half

A 4,4 new 2,2

B 4,8 new 2,4

C 6,4 new 3,2

D 6,6 new 3,3

Answer:

A = (2,2)

B = (2,4)

C = (3,2)

D = (3,3)

Step-by-step explanation:

Leave a brainliest if this helped

Using the slope of the linear function, it is found that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem:

Two of the points are: (0,0) and (2,1).

[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Then, applying the interpretation:

To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

hes correct. the slope is 0.5 and it grows 0.5 inches everyday

Step-by-step explanation:

The formula

x + y = 32

Find our X value

y + 14 = x

Sub for x

(y + 14) + y = 32

Remove Parathesis

y + 14 + y = 32

Add

2y + 14 = 32

Subtract

2y = 18

Divide

y = 9

Sub for y

x + 9 = 32

Subtract

x = 23

Double Check:

9 + 14 = 23

23 + 9 = 32

I hope this helps! :)

Answer:

86

Step-by-step explanation:

So the angle your trying to find has another angle 4 the triangle is a right triangle so 90-4=86

Hopes This Helps :)

Answer:

78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]f^{-1} (x) =x-11[/tex]

Step-by-step explanation:

[tex]f(x) = x+11\\\\\text{Write f(x) as y = x+11}\\\\\text{Replace x with y,}\\\\x = y+11\\\\\text{Solve for y}\\\\x=y+11\\\\\implies y= x-11\\\\\implies f^{-1} (x) = x-11[/tex]

Answer:

-5.2, -4.75, -9/2

Step-by-step explanation:

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and    y = 4. So, f(-2) = g(-2) = 4 is true

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Answer:the slope of the line is 5/3

The y-intercept is 0

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation: