Noel's age in 8 years will be three times as old as it was 2 years ago. How old is Noel now?

Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:

We have to find the value for sin [tex] \theta[/tex]

So, Let's start solving....

In ∆ADB and ∆ABC,

So, ∆ADB ~ ∆ABC (By AA similarity)

The corresponding sides will be:

[tex] \sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }[/tex]

We know the value of AB and to find AC, we can use Pythagoras theoram that is:

AC = √6² + 8²

AC = 10

Coming back to the relation,

[tex] \sf{ \dfrac{AD}{6} = \dfrac{6}{10} }[/tex]

[tex] \sf{AD = \dfrac{6 \times 6}{10} = 3.6}[/tex]

In ∆ADB, we have to find sin [tex] \theta[/tex] which is given by perpendicular/base:

[tex] \sf{\sin( \theta) = \dfrac{AD}{AB} }[/tex]

Plugging the values of AD and AB,

[tex] \sf{\sin( \theta) = \dfrac{3.6}{6} }[/tex]

Simplifying,

[tex] \sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}[/tex]

And this is our final answer.....

Carry On Learning !

Step-by-step explanation:

given the perimeter is

64ft

the length l= 3w

we know that the perimeter of a rectangle is given as

P=2l+2W

but L=3w

64=2(3w)+2w

64=6w+2w

64=8w

divide both sides by 8 we have

w=64/8

w=8ft

also

let the lenght of the rectangle be l

side of hexagon=l-4

perimeter of hexagon

P=5(l-4)

P=5l-20

width of rectangle w=l-2

perimeter of rectangle= 2l+2w

but w=l-2

5l-20= 2l+2(l-2)

5l-20=2l+2l-4

5l-20=4l-4

5l-4l=-4+20

l=16ft

perimeter of hexagon

P=5(l-4)

put l=16

perimeter of hexagon

P=5(16-4)

p=5(12)

P=60ft

Answer: 2(3(8))+(2+8)=64 or c

Step-by-step explanation:

You have to replace w with 8 meaning 8 is now the width, therefore, c is the correct answer.

Answer:

C+a−b−d−f+g+e

Step-by-step explanation:

a. The value of f(-4) is [tex]3 \div -8[/tex]

b. The value of fg(1) is [tex]3\div 4[/tex]

Since [tex]F(x)=3\div x\times 2\ and\ g(x)=2\times x\times 3[/tex]

So,

a. The value of f(-4) is

[tex]= 3\div (-4)(2)\\\\= 3\div -8[/tex]

And,

b. The value of fg(1) is

[tex]= 3\div (2(1)^3)(2)\\\\= 3\div (2)(2)\\\\= 3\div 4[/tex]

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Answer:

No.

Step-by-step explanation:

[tex]10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\[/tex]

[tex](10)(4)=40[/tex]

[tex]10000\neq 40[/tex]. Therefore, [tex]10^{4} \neq[/tex]10x4.

**Exponents expresses how many times the number it multiplied by it's own value. Such as [tex]x^{2}[/tex] is the same as (x)(x) since it is times by itself 2 times. Or, [tex]6^{8}[/tex] is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.

Answer:

$3.65

Step-by-step explanation:

32.85/ 9 = $3.65

Answer:

$3.65

Step-by-step explanation:

this is easy lol

Answer:

3.54%

Step-by-step explanation:

311-300=11

(11/311)×100=3.54  (2 d.p)

Answer:

2x -7 = 41

2x = 41 +7

2x = 48

x = 24

Answer:

21,798

Step-by-step explanation:

Answer:

21798

Step-by-step explanation:

add them all up step by step

Answer:

yes ....I can help please

let's take the example 2

x° and 68° forms right angle so it's 90°

so we'll add them to find x

x° = 90°- 68° = 22°

Answer:

Integers

Step-by-step explanation:

The correct option to choose is the integers option. Integers are simply whole numbers.

Thus-18/6 = -3

The term -3 is a whole number

So the term to choose is the integers option

The smallest set of real numbers that contains the value -18 /6 is an integer.

The smallest set of the real number that contains the value -18/6 can be determined after we have simplified the expression -18/6.

To simply the given expression, we will divide both the numerator and the denominator by 6, by doing so, we have:

= -3

Now, the smallest set of the real number is = -3 which is an integer

This is because an integer is a whole number that is not a fraction and can be negative or positive.

The reason why it is not a natural number is because of the negative sign, since we know that natural numbers are numbers with positive signs only.

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All real numbers except n Pi, where n is an integer. Option C is correct.

The domain denotes all potential x values, while the range denotes all possible y values.

Given function;

y = csc(x)

Anything that is real, excluding n Pi, where n is an integer.

Hence option C is correct.

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Answer:

f(x) - 2

Step-by-step explanation:

I just took the quiz

Answer:

x+x+yxy

= x^2 + y^2

x^2 + y^2 is the answer.

In mathematics, genuinely or simplification is reducing the expression/fraction/hassle in a less complicated form. It makes the problem smooth with calculations and fixing.

Associated with "simplification" troubles are some "solving" troubles. just as a few expressions include parentheticals or even nested grouping symbols, so additionally do some equations. The simplification manner is identical, whether we're running with expressions (and consequently handiest simplifying) or equations (so we are also solving).

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Answer:

208.333

Step-by-step explanation:

A quadratic model for a certain stock on Wall Street is given by :

[tex]P=-3d^2+50d[/tex] ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

[tex]\dfrac{dP}{dd}=0[/tex]

[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]

So, the maximum price per share of the stock is 208.333.

Answer:

A

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

it's Y over X

I also took this test on edge :)

Answer:

2,7 is where the lines intersect

X=2

Y=7

correct me if i am wrong

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Cakes = 1230[/tex]

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Banana = ??[/tex]

Required

Determine the total amount earned

The given parameters can't be used to determine the total amount earned.

However, we'll make some assumptions

First, we need to solve for the amount of each cake sold

[tex]Caramel = \frac{1}{3}[/tex]

[tex]Caramel = \frac{1}{3} * 1230[/tex]

[tex]Caramel = 410[/tex]

[tex]Chocolate = \frac{1}{2}[/tex]

[tex]Chocolate = \frac{1}{2} * 1230[/tex]

[tex]Chocolate = 615[/tex]

[tex]Banana = 1230 - 410 - 615[/tex]

[tex]Banana = 205[/tex]

Assume that:

Each caramel were sold at x

Each chocolate were sold at y

Each banana were sold at z

[tex]Total\ Amount = 410 * x + 615 * y + 205 * z[/tex]

[tex]Total\ Amount = 410x + 615y + 205z[/tex]

Answer:

perpendicular is opposite and reciprocal

Step-by-step explanation:

The slope is -1 and the reciprocal/ perpendicular is 1x

Answer:

the answer is 1

Step-by-step explanation:

Answer:

Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

Step-by-step explanation:

Carlos spent hours in doing his maths homework =[tex]1 \frac{1}{4}[/tex]

Carlos spent hours in doing his maths homework = [tex]\frac{5}{4}[/tex]

We are given that He spent 1/4 of his time practicing piano

So, Time spent by Carlos in practicing piano = [tex]\frac{1}{4} \times \frac{5}{4}[/tex]

Time spent by Carlos in practicing piano = [tex]\frac{5}{16}[/tex]

Carlos spent hours in practicing piano =  [tex]\frac{5}{16} hours[/tex]

Hence Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano

Answer:

5 to 3

5 : 3

5 / 3

Step-by-step explanation:

Given:

5 cups of oats

3 cups of seeds

1 cup of nuts

2 cups of raisins

Write the ratio of oats to seeds in three different ways

Ratios can be written in the form

1. A to B

2. A:B

3. A/B

There are 5 cups of oats 3 cups of seeds

Ratio of oats to seeds can also be written as

5 to 3

5 : 3

5 / 3

Answer:

10^2

Step-by-step explanation:

When we divide exponents we subtract the exponenets in the top (in this case 6-4). This will give us 10^2. You can also check this.

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

10⁶ and 10⁴

The division of the numbers 10⁶ and 10⁴ will be given below.

⇒ 10⁶ ÷ 10⁴

⇒ 10⁶ / 10⁴

⇒ 10⁶⁻⁴

⇒ 10²

The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.

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Answer:

47

Step-by-step explanation:

They are dumpy because they can’t try

Answer:

n+8

Step-by-step explanation:

"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.

Answer:

the answer to it is n + 8. :3

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.

What is Perimeter?

The sum of all sides of a quadrilateral is called a perimeter.

Given that;

The statement is,

''In any triangle the length of a side is less than the half of the perimeter''.

Now,

Let sides of triangles are a, b and c.

The triangle inequality is;

a + b > c

Add both side by c;

a + b + c > c + c

a + b + c > 2c   .... (i)

Since, Perimeter of a triangle with sides a, b and c is;

Perimeter (P) = a + b + c

Substitute value of perimeter in equation (i), we get;

a + b + c > 2c

P > 2c

c < P/2

Thus, In any triangle the length of a side is less than the half of the perimeter.

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Answer: I'm pretty sure the number line goes by 4, so the blue dot is on -10.

Step-by-step explanation:

Answer:

12.

03

Step-by-step explanation:

Answer:

Step-by-step explanation:

it will take jocelyn 2 hours to make 120 cookies