Use the relationship between the side lengths and the
angles opposite those sides. What are the smallest and
largest angles of ALMN?
The smallest angle of the triangle is
The largest angle of the triangle is

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

Answer: B: she prefers to support local businesses, even at an added cost

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) First is a 90º rotation (counter-clockwise) with respect to the origin.

   Next is a horizontal transformation of +2 units.

b) Transformation one is (x, y) -> (-y, x)

Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

a)

Step 1:

-90º or 270º rotation

Step 2:

Horizontal transformation to the right by 2 units.

b)

1. (x, y) -> (-y, x)

2. (x, y) -> (x + 2, y)

Answer: 2,369.25 cm3

Step-by-step explanation:

Hi, to answer this question we have to use proportions:

X has volume of 64 cm3 and s surface area of 208 cm2

The proportion is = volume / surface area = 64/208

Y has volume of 729 cm3

Volume / surface area = 729/ s (surface area of y)

64/208 = 729/ s

Solving for s:

s = 729 / (64/208)

s = 2,369.25 cm3

Feel free to ask for more if needed or if you did not understand something.

Answer:

28cm²

Step-by-step explanation:

area of trapezium = 1/2( a + b)h

1/2× ( 6+8) × 4

1/2 × 14 ×4 = 28

The area of the trapezium with parallel sides measuring 6 and 8 units, and a height of 4 units, is 28 square units.

To find the area of a trapezium, we can use the formula:
area = 1/2 * (sum of parallel sides) * height.

In this case, the parallel sides of the trapezium are 6 and 8, and the height is 4.

Substituting these values into the formula, we have:

area = 1/2 * (6 + 8) * 4

Simplifying the equation:

area = 1/2 * 14 * 4

Multiplying the numbers:

area = 7 * 4

Calculating the final result:

area = 28

Therefore, the area of the trapezium is 28.

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Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Answer:

6

10 Remainder

If you enter 136 divided by 21 into a calculator, you will get:

6.4762

The answer to 136 divided by 21 can also be written as a mixed fraction as follows:

6 10/21

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 21 on the left side and the dividend 136 on the right side like this:

 2 1 ⟌ 1 3 6

Step 2:

The divisor (21) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 2 1 ⟌ 1 3 6

Step 3:

Multiply the divisor by the result in the previous step (21 x 0 = 0) and write that answer below the dividend.

       0    

 2 1 ⟌ 1 3 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 2 1 ⟌ 1 3 6

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (3) like this:

       0    

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

Step 6:

The divisor (21) goes into the bottom number (13), 0 time(s). Therefore, put 0 on top:

       0 0  

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

Step 7:

Multiply the divisor by the result in the previous step (21 x 0 = 0) and write that answer at the bottom:

       0 0  

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (13 - 0 = 13) and write the answer at the bottom.

       0 0  

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

     -   0  

       1 3  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

     -   0  

       1 3 6

Step 10:

The divisor (21) goes into the bottom number (136), 6 time(s). Therefore put 6 on top:

       0 0 6

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

     -   0  

       1 3 6

Step 11:

Multiply the divisor by the result in the previous step (21 x 6 = 126) and write the answer at the bottom:

       0 0 6

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

     -   0  

       1 3 6

       1 2 6

Step 12:

Subtract the result in the previous step from the number written above it. (136 - 126 = 10) and write the answer at the bottom.

       0 0 6

 2 1 ⟌ 1 3 6

     - 0    

       1 3  

     -   0  

       1 3 6

     - 1 2 6

         1 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 136 divided by 21 calculated using Long Division is:

6

10 Remainder

The calculated division of the numbers 136 divided by 21 is 6 10/21

From the question, we have the following parameters that can be used in our computation:

136 divided by 21

When represented as an equation, we have

136 divided by 21 = 136/21

Divide 7 by 4

So, we have the following result

136 divided by 21 = 6 10/21

Using the above as a guide, we have the following:

the result is 6 10/21

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Answer:

We have the graph of position vs time (as you know, the derivatives of this graph are equivalent to the velocity, so the slope in each part of the graph is equal to the velocity of the car in that part, as steeper is the slope, larger is the velocity, and if the slope is positive, the velocity is positive, if the slope is negative, the velocity is negative)

A) Part 1 and part 2.

You can see that part 1 is a bit steeper than part 2, this means that in part 1 the velocity of the car is larger than in part 2.

B) Part 8 and part 9.

You can see that part 9 is steeper than part 8, meaning that the speed is larger in part 9 (in both parts the velocity is negative)

C) part 3, part 5 and part 7.

In these 3 parts we have a line parallel to the x-axis, this means that the velocity is zero in those 3 parts, but the position is different.

D) part 4 and part 6.

Part 4 is steeper than part 6, and part 4 has a positive slope while part 6 has a negative slope.

So the speed in part 4 is larger, and the sign of the velocity is different in each part, in part 4 we have positive velocity and in part 6 we have negative velocity.

Answer:

d

Step-by-step explanation:

Let m = number of miles.

Each mile costs $2.35, so m miles cost 2.35m.

The flat fee is $2.

The total cost is

2.35m + 2

He can spend no more than $47, so he can spend $47 or less,

2.35m + 2 <= 47

Answer: d

Answer:

6x²y(9 - 2y)

Step-by-step explanation:

Step 1: Factor out GCF

6(9x²y - 2x²y²)

Step 2: Factor out x²

6x²(9y - 2y²)

Step 3: Factor out y

6x²y(9 - 2y)

And we have our factored answer.

Answer:

[tex] 6x^2y(9 - 2y) [/tex]

Step-by-step explanation:

[tex] 54x^2y - 12x^2y^2 = [/tex]

The GCF of 54 and 12 is 6.

The GCF of x^2 and x^2 is x^2.

The GCF of y and y^2 is y.

We factor out each GCF above.

[tex] = 6x^2y(9 - 2y) [/tex]

Answer:

the answer is in the imagen

Step-by-step explanation:

Answer:

270°

Step-by-step explanation:

Full circle length is 2πr= πd= 8π

6π/8π= x/360

3/4= x/360

x= 3*360/4

x= 270°

Answer:

0.58 is where the blue dot on the number line is

Answer:

The blue dot is at -0.58

Answer:

function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]

Step-by-step explanation:

given data

number = 18/y

solution

in given value 18/y

If y=0, the function will be Undefined.

Because, the function is undefined if its denominator = 0

so that if we determine the function is defined, we will find out for what values the function is undefined and remove it

so, the function 18/y is defined for all values of y such that

[tex]y \in R, y\neq 0[/tex]

Answer:

Graph A

Step-by-step explanation:

Graph B correctly displays the data from the table. So, the correct option is B.

A graph is a framework made up of a number of things, some of which are paired together to form "related" objects. The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

The term "graph" designates a functional graph or "graph of a function," often known as a plot. A graph is an arrangement of points and lines linking some (potentially empty) set of them in mathematical parlance.

Class 0.330 - 0.339 has the highest incidence in the table provided in the question, followed by class 0.340 - 0.349, and then class 0.350 - 0359.

The lowest frequency belongs to classes 0.320-0.329 and 0.360-0.369, and both classes share the same frequency.

Therefore, the correct option is B.

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Answer:

X=12.09

Step-by-step explanation:

Tangent=opposite/adjacent

Tan29=6.7/x

X tan29=6.7

X=6.7/tan29

X=12.087

X=12.09

Answer:

g(2) =1

Step-by-step explanation:

g(x) = -2x + 5

Let x = 2

g(2) = -2*2 +5

     = -4+5

    = 1

Answer:

1

Step-by-step explanation:

To find g(2), simply substitute 2 in for variable x in the equation g(x).

g(2)= -2(2) + 5

     = - 4 + 5

     = 1

Answer:

Perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

The area of rectangle is

[tex]7x^2+57x+8[/tex]

First we have to find the factor form of above expression.

Splitting the middle term, we get

[tex]7x^2+56x+x+8[/tex]

[tex]7x(x+8)+1(x+8)[/tex]

[tex](x+8)(7x+1)[/tex]

Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).

Perimeter of a rectangle is

[tex]Perimeter=2(l+b)[/tex]

[tex]Perimeter=2[(x+8)+(7x+1)][/tex]

[tex]Perimeter=2[8x+9][/tex]

[tex]Perimeter=16x+18[/tex]

Therefore, the perimeter of the rectangle is 16x+18 units.

Answer:

Mimi is 15.

Step-by-step explanation:

Set up two equations, and solve by elimination.

 2(m+5) = d+5

- 3(m-5) =  d-5

_____________

2(m+5) - 3(m-5) = 10

2m + 10 - 3m + 15 = 10

-m + 25 = 10

-m = -15

m = 15

Plug this back in to get dad's age.

2(m+5) = d+5

2(15+5) = d + 5

2(20) = d + 5

40 = d + 5

d = 35

Answer: not a function

Step-by-step explanation:

Answer:

I think it is $1604.4

Step-by-step explanation:

I added 40% to 1146

Answer:

-15,20

Step-by-step explanation:

I do not know how to explain how I did it lol :) , but I am very sure that it is correct.

I hope this help you :)

Answer:

-15, 20

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

5, -5, 10, -10, 15,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

5 - first term

-5 - second term

5 ? ? = -5

5 × -1 = -5

So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

5, -5, 10, -10, 15,...

5 × -1 = -5 [correct; provides the next term]

-5 × -1 = 5 [incorrect; does not provide the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -1 = 10 [incorrect; does not provide the next term]

According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.

-5 - second term

10 - third term

-5 ? ? = 10

-5 × -2 = 10

So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:

multiply by negative one, multiply by negative two

However, to be sure the pattern we have identified is correct, apply it to the sequence.

5 × -1 = -5 [correct; provides the next term]

-5 × -2 = 10 [correct; provides the next term]

10 × -1 = -10 [correct; provides the next term]

-10 × -2 = 15 [correct; provides the next term]

Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.

5, -5, 10, -10, 15....

15 × -1 = -15

-15 × -2 = 20

Therefore, the next two terms in the sequence is -15, 20.

Answer:

With points A, B and C a right triangle is formed.

Given that BC ⊥ CA, then m∠C = 90°.

The addition of the angles of a triangle is equal to 180°, therefore:

m∠A + m∠B + m∠C = 180°

Substituting with m∠C = 90°:

m∠A + m∠B + 90° = 180°

m∠A + m∠B = 180° - 90°

m∠A + m∠B = 90°

Answer:

58 1/4, 58.35, 58.35, 58 9/20

Step-by-step explanation:

ok so i would start off by converting these fractions into decimals so that itll be easier to visualize

58 1/4 would be 58.25

58.35 is 58.35

58 9/20 would be 58.45

therefore, when u order these numbers from least to greatest it would be

58 1/4, 58.35, 58.35, 58 9/20

Answer:

1.) g(x) = 2x - 14

2.) g(x) = 2x - 10

3.) g(x) = 8x + 24

4.) g(x) = 8x - 6

Step-by-step explanation:

You are given a function

F(x) = 2x - 6

1.) When a function shift to the left along x axis, you will add. But if it shifts right, you will subtract. Therefore

g(x) = 2(x - 4) - 6

Open the bracket

g(x) = 2x - 8 - 6

g(x) = 2x - 14

2.) Translation or shifting at y axis is vice versa of translation at x axis. Up is positive, down is negative. Therefore,

g(x) = 2x - 6 -4

g(x) = 2x - 10

3.) Compression of 1/4 along y axis will be the reciprocal of the value multiply by the function. The compressed function will be

g(x) = 4( 2x - 6 )

Open the bracket

g(x) = 8x + 24

4.) When you stretch along x axis, you will only multiply the value by coefficient of x. The stretch function along x axis will be

g(x) = (4) 2x - 6

g(x) = 8x - 6

Answer:

The correct answer is the option C

The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.

Step-by-step explanation:

Answer:

A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12

Step-by-step explanation:

The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.

A pair of boots are on sale for 65 percent off. The original price of the boots in x was $56.12

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

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Answer:

3/4x < (x+6)

Step-by-step explanation:

Answer:

It's the first one and second answer

Step-by-step explanation: