Write the fraction 7/8 as an equivalent fraction with the given denominator 40

Step-by-step explanation:

x cos θ + y sin θ = x cos β + y sin β

Let's say x = cos A, and y = sin A.

cos A cos θ + sin A sin θ = cos A cos β + sin A sin β

Use angle sum formula.

cos(A − θ) = cos(A − β)

A − θ = ±(A − β)

A − θ = β − A

2A = θ + β

A = (θ + β) / 2

cot A = cot((θ + β) / 2)

x/y = cot((θ + β) / 2)

Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.

Answer:

Step-by-step explanation:

Use PEMDAS rules

In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.

3[ (15 - 3)² ÷ 4]  = 3[(12)² ÷ 4]   {Now find the square of 12}

                         = 3[144 ÷ 4]    {Now do division}

                         =3 * 36       {Finally multiplication}

                         = 108

Answer:

See below.

Step-by-step explanation:

We have the rational function:

[tex]\frac{4}{x^2-1}[/tex]

The domains of rational function are the zeros of the denominator. This is because if the denominator equals 0, they the function would be undefined.

Therefore, we need to find the zeros of the denominator. Set the expression in the denominator to zero:

[tex]x^2-1=0[/tex]

Solve for x. Add 1 to both sides:

[tex]x^2=1[/tex]

Take the square root of both sides:

[tex]x=\pm \sqrt1[/tex]

Simplify:

[tex]x=\pm 1[/tex]

So, the domain is all real numbers except for x=-1 and x=1.

In interval notation, this is:

[tex](-\infty,-1)\cup(-1,1)\cup(1,\infty)[/tex]

This is interpreted as all values until -1 not including -1 until all values until 1 not including 1, and then all values there on after.

In set notation, this is:

[tex]\{x|x\in\mathbb{R}, x\neq-1, 1\}[/tex]

Answer:

[tex]\large \boxed{\mathrm{All \ real \ numbers \ except} \ x=-1 \ \mathrm{and} \ x=1}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{4}{x^2-1}[/tex]

The domain of a rational function is all the real numbers except the numbers for which the denominator is equal to 0.

Let the denominator equal to 0.

[tex]x^2-1=0[/tex]

Solve for x.

[tex]x^2 =1 \\ \\ \\ x= -1 \ \mathrm{or} \ x=1[/tex]

When x = -1 and x = 1, the function is undefined.

The domain of the function is all real numbers except x = -1 and x = 1.

Answer:

A

Step-by-step explanation:

base 200 dollars

200+0.45 x ≤ 275

for 166 miles: 200+0.45(166)=274.7 it does not exceed the budget

Answer:

Your correct answer is option A.

Step-by-step explanation:

Your base is $200

200+0.45 x ≤ 275

for the 166 miles: 200+0.45(166)=274.7

Answer:

See below.

Step-by-step explanation:

Here is one pair of angle of each type. There are more correct answers.

corresponding angles: <K, <O

alternate interior angles: <N, <P

alternate exterior angles: <I, <S

same-side interior angles: <N, <Q

vertical angles: <P, <R

supplementary angles: <J, <M

Answer:

x + y + z = - 22

Step-by-step explanation:

Reciprocal of a : - 6,

Reciprocal of b : 2

Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.

Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,

z = 2(- 6) / 2

= - 12 / 2 = - 6

And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.

I hope this helps you

If R measures 18°,q equals 9.5 ,p equals 6.0 then we can find the length of PQ which is r using the law of cosines.

In trigonometric ratios law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Law of cosines is as under:

[tex]c^{2} =a^{2} +b^{2} -2ab cos d[/tex]

where c is the side opposite to the angle given, a,b are the other sides and d is the angle given.

We have been given ∠R=18°, q equals 9.5 , p equals 6.0 then the length r can be calculated as under:

[tex]r^{2} =p^{2} +q^{2} -2pq cos 18[/tex]

r=[tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex]

Hence the length of r is equal to [tex]\sqrt{p^{2} +q^{2} -2pq cos 18}[/tex].

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Responder:

Explicación paso a paso:

Deje que el nivel del suelo del parque de atracciones sea cero. Si el túnel del miedo se eleva a una altura de 50 metros sobre el suelo, entonces la distancia desde el nivel del suelo hasta la altura de 50 m sobre el suelo será 50 + 0 = 50 m.

Del mismo modo, si el túnel cae 65 m en un túnel subterráneo, la distancia desde el nivel del suelo hasta la distancia de 65 m bajo tierra será de 65 m.

De ahí la diferencia entre la elevación del túnel y la del túnel subterráneo = 65 m - 50 m = 15 m

Answer:

Hey there!

The domain is the range of all the x values.

Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.

Let me know if this helps :)

Answer:

x = 50

Step-by-step explanation:

y = 15

1/5X - 2/3y = 30

1/5x - (2/3 x 15) = 30

1/5x - (10) = 30

1/5x = 30 - 20

1/5x = 10

x = 50

Answer:more cuz it says 3/4 much more

Step-by-step explanation:

Answer:

[tex]33 - 4x[/tex]

Step-by-step explanation:

Given the term to be solved by explaining each step:

[tex]13 - 4(x - 5)[/tex]

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

[tex]4(x-5)[/tex]

Now, 4 will be multiplied with [tex]x[/tex] and -5.

i.e.

[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]

Now, let us put the value back in the original expression.

[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]

Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20

[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

[tex]\therefore[/tex] the expression is equivalent to :

[tex]\bold{33-4x}[/tex]

Answer:

The correct option is;

B) 0

Step-by-step explanation:

Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers

Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....

Answer: Its B.) 0

Step-by-step explanation:

Answer:

10^8 pennies in a million dollars.

Step-by-step explanation:

I will work with the accepted number of pennies in a dollar:  100.

Then the number of pennies in a million dollars is

p = 100*10^6, or 1*10^8,  or just 10^8.

Answer:

m<PKN = 270 - m<JKP

Step-by-step explanation:

m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270

m<PKN + m<JKP = 270

Answer:

the equation is 45 + 20x= 225 and her son had a total of nine (9) classes.

Step-by-step explanation:

45 + 20x = 225 is the equation.

to solve it, we do 225-45=180

then, 180/20= 9

so x = 9

Answer:

Graph it out on desmos and then see which one is out of order

Step-by-step explanation:

desmos graphing

Answer:

(g ○ f)(0) is invalid

Step-by-step explanation:

g(x) = x − 4

f(x) = 1/x

(g ○ f)(x) = 1/x - 4

(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Step-by-step explanation:

This is the sample response on edge

Answer:

97.35

Step-by-step explanation:

355.5 - 235.5 -22.65

I am subtracting 235.5 and 22.65  from 355.5 because I am spending that much money on the things.

=> 355.5 - 235.5 - 22.65

=> 120 - 22.65

=> 97.35 rupees

So, 97.35 rupees is left

The farmer took 8 days to cultivate one and a half hectares (15000 m^2)

so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.

20 days = 0.1875 x 20

             = 3.7500 hectares

hope it helped!

Answer:

k = 10

Step-by-step explanation:

30+2k+5k=100

Combine like terms

30 + 7k = 100

Subtract 30 from each side

30+7k-30 = 100-30

7k  = 70

Divide each side by 7

7k/7 = 70/7

k = 10

Answer:

k=10

Step-by-step explanation:

We are given the equation:

30+5k+2k=100

We want to find k, therefore we must isolate k on one side of the equation.

First, combine like terms on the left side of the equation. 5k and 2k can be added together.

30+5k+2k=100

30+(5k+2k)=100

30+7k=100

30 is being added to 7k. The inverse of addition is subtraction. Subtract 30 from both sides of the equation.

30-30+7k=100-30

7k= 100-30

7k= 70

k is being multiplied by 7. The inverse of multiplication is division. Divide both sides by 7.

7k/7=70/7

k=70/7

k= 10

The solution to the equation 30+5k+2k=100 is k=10

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

The expression of the number that is 40% more than five more than a number A will be mathematically given as 40% + 5 + A.

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

The concept of algebraic expressions is the use of symbols or alphabets to represent numbers by providing their precise values.

Translate the following into an algebraic expression:

The number that is 40% more than five more than a number A.

Then the expression will be,

⇒ 40% + 5 + A

The expression of the number that is 40% more than five more than a number A will be 40% + 5 + A.

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Answer:

○ C. The lines are perpendicular.

Step-by-step explanation:

In order for equations to be perpendicular, their rate of changes [slopes] must be OPPOSITE MULTIPLICATIVE INVERSES, which in this case is so:

− to +}

> OPPOSITE

+ to −}

MULTIPLICATIVE INVERSE [RECIPROCAL]

I am joyous to assist you at any time.

cccccccccccccccccccc

Answer:-115

Step-by-step explanation:

Use distributive property!

-5 times 20 = -100

-5 times 3 = -15

-100 - 15 = 115

Answer: the answer is -115

Step-by-step explanation:

Answer:

5 hourss

Step-by-step explanation:

197-32= 165

165/33

Answer:

5 hours

Step-by-step explanation:

Ralph earned $197 in total but with an initial fee of $32 so,

197 - 32 = 165

$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.

165 ÷ 33 = 5.

So the job took 5 hours.

Answer:

[tex]\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }[/tex]

Step-by-step explanation:

[tex](x^2y^3z^{-3})^7(xy^4)\\[/tex]

Expanding Parenthesis

[tex](x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4[/tex]

Combining like terms

[tex]x^{14} * x * y^{21} * y^4 * z^{-21}[/tex]

When bases are same , powers are to be added

[tex]x^{14+1} y^{21+4} x^{-21}[/tex]

[tex]x^{15} y^{25} z^{-21}[/tex]

Neutralizing the negative sign by shifting z to the denominator

[tex]\frac{x^{15}y^{25}}{z^{21}}[/tex]

Answer:

[tex]\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }[/tex]

Step-by-step explanation:

[tex](x^2 y^3 z^{-3})^7 (xy^4)[/tex]

[tex]\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}[/tex]

[tex](x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)[/tex]

[tex](x^{14} y^{21} z^{-21})(xy^4)[/tex]

[tex]x^{14} \times y^{21} \times z^{-21} \times x \times y^4[/tex]

[tex]\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}[/tex]

[tex]x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}[/tex]

[tex]x^{14+1} \times y^{21+4} \times z^{-21}[/tex]

[tex]x^{15} \times y^{25} \times z^{-21}[/tex]

[tex]\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}[/tex]

[tex]\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }[/tex]

[tex]\displaystyle \frac{x^{15} y^{25}}{z^{21} }[/tex]

Answer: 540 miles

Step-by-step explanation:

plug in the numbers into the equation

multiply and ta-da

Answer:

540 miles

Step-by-step explanation:

y = 45(12) = 540

Answer:

The value of the given expression is -4.5

Step-by-step explanation:

We need to find the value of the expression [tex]-3|5-s^3|+3t[/tex] when s=2 and t=1.5

Putting the values of s and t in the given expression.

So,

[tex]-3|5-s^3|+3t=-3|5-(2)^3|+3\times 1.5\\\\=-3|5-8|+4.5\\\\=-3|-3|+4.5[/tex]

We know that, |-a|=a

So,

[tex]=-3|-3|+4.5\\\\=-3(3)+4.5\\\\=-9+4.5\\\\=-4.5[/tex]

So, the value of the given expression is -4.5

Answer:

-13.5 is the correct answer.

Step-by-step explanation: