Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A

enter the ratios in reduced form:

Answer:

the answer would be 5w-20 after distribution

Answer: 5w + (-20)

Step-by-step explanation: So let's simplify this problem using the distributive property. The first thing we want to do is change the minus to plus a negative.

Now we can distribute or multiply the 5 by each of the terms inside the set of parentheses.

So we get 5(w) + 5(-4) and this simplifies to 5w + (-20).

Answer:

1/2

Step-by-step explanation:

5/10, 5 is HALF of ten so 1/2

Answer:

$747.50

Step-by-step explanation:

650×15/100=$97.50 which is then added to 650 Becoz his pay is 15% rising=747.50

Good evening ,

Answer:

Circle 0 , 4 , 16

Step-by-step explanation:

→ 0 = 0²

→ 4 = 2²

→ 16 = 4²

:)

The value estimated for f ( -3 ) from the graph is 12.5

Step-by-step explanation:

The function (f) in the graph defines all point sets in plane as (x, f(x)) form. The graph of equation to be the graph of function. I.e. y = f (x). Hence, graph of f is if the special case for graph of equation.

Given x = - 3 and asked to find f (-3). So, we have to see the point of y mapped (meeting point of y) on the point x = -3. In the graph, the point marked on y straight away to x = - 3 is 12.5.

Answer: 12.5

Step-by-step explanation:

it is the same as the g (x) problem. we sub -3 for x and see what the y value is on graph. At -3, y = 12.5

Brainliest? :)

Answer:

There are 134 marbles in each bag.

Step-by-step explanation:

536/4=134

Answer:536 divided by 4 equals 134 marbles in each bag

Step-by-step explanation:

Answer:

y=3x-13

Step-by-step explanation:

1) find slope

5--1/8-4=6/2=3

2) (y--1)=3(x-4)

y+1=3x-12

y=3x-13

Answer:

x = -9±√145 (= 3.04 or -21.04)

Step-by-step explanation:

x²+18x-64 = 0   (move the constant to the right side, add 64 to both sides)

x²+18x = 64   (divide the x-term by 2, square it, then add it to both sides)

x²+18x + (18/2)²= 64 + (18/2)²     (simplify)

x²+18x + 9²= 64 + 9²

x²+18x + 9²= 64 + 81

x²+18x + 9²= 145  (simplify left side using the property (a+b)² = a²+ 2ab+b²)

(x+9)² = 145   (take square root of both sides)

x+9 = ±√145

x = -9±√145 (= 3.04 or -21.04)

The domain and the range of the functions is real numbers. Hence, option A is correct.

We need to determine the domain and range of the function  [tex]\bold{f(x)=-35x^3}[/tex].

Let us define the domain and the range of the function:

Domain:

When all the possible values of an independent variable for which we get the real value of a dependent variable then the values of the independent variables is called domain of the function.

Range:

All the possible values of the function is called the range of the function. Range is the sub-set of co-domain.

Now,

For the given function [tex]f(x)=-35x^3[/tex].

No value of x can restrict the above function hence its domain is real number that is [tex](-\infty, +\infty)[/tex].

And, range of the function is also the same [tex](-\infty, +\infty)[/tex].

Thus, the domain and the range of the functions is real numbers. Hence, option A is correct.

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The domain and range of the cubic function f(x) = -35x^3 are both all real numbers, because there are no restrictions on x and the function's output covers all real values.

The function described is f(x) = −35x^3. The domain of a polynomial function, which includes cubic functions like this one, is all real numbers because there are no restrictions on the values that x can take. Therefore, the domain is (−∞, ∞). Since the leading coefficient of the cubic term is negative, the ends of the graph will go towards negative infinity as x goes to positive and negative infinity. Therefore, the range of the function is also all real numbers, which we write as (−∞, ∞).

Answer:

4 : 2

Step-by-step explanation:

The two triangles Δ ABC and Δ A'B'C' are similar.

Here, ∠ A = ∠ A' = 104°, ∠ B = ∠ B' = 50° and ∠ C = ∠ C' = 26°.

Now, the length of AB and the length of A'B' are 4 cm and 2 cm respectively.

Again, the length of BC and the length of B'C' are 9 cm and 4.5 cm respectively.

Therefore, [tex]\frac{AB}{A'B'} = \frac{BC}{B'C'} = \frac{CA}{C'A'} = \frac{4}{2} = \frac{9}{4.5} = 2[/tex]

Hence, the ratio of the corresponding side lengths is 4 : 2. (Answer)

Answer:

4:2

Step-by-step explanation:

Could I get more context about the question? If I had more numbers then I could solve it.

Answer:

20

Step-by-step explanation:

Add 4 to 46 = 52

Divide 52 by 2 = 26

Finally, subtract 6 to get 20

Answer:

5 Hours

Step-by-step explanation:

Given:

Chen’s report will take 8 and one third hours to complete.

He has worked for three fifths of the time doing research.

Question asked:

How long has he worked = ?

Solution:

Total hour required to complete the report = [tex]8\frac{1}{3}[/tex] = [tex]\frac{25}{3}[/tex]

He has worked of the total hour = [tex]\frac{3}{5}[/tex]

He has worked = three fifth of the total time doing research.

                         = [tex]\frac{3}{5} \times\frac{25}{3}[/tex]

                         = [tex]\frac{75}{15}[/tex]

                         = [tex]5 hours[/tex]

Thus,he has worked 5 hours doing his research.

Final answer:

The length of a 120° arc in a circle with an 18-kilometer diameter is approximately 18.85 kilometers.

Explanation:

The question asks to find the length of a 120° arc, given the diameter of a circle is 18 kilometers. To solve this, we first find the radius of the circle by dividing the diameter by 2, which gives us 9 kilometers.

Knowing the circumference formula is 2πr, we calculate the circumference as 2π(9) or 18π kilometers. Since 360° represents the full circumference, a 120° arc represents one-third of the circle.

Thus, the arc's length is one-third of the circumference: ⅓(18π) = 6π kilometers, which is approximately 18.85 kilometers.

Answer:

  C  1

Step-by-step explanation:

BC is perpendicular to AB, so has a slope that is the negative reciprocal of that of AB:

  BC slope = -1/(AB slope) = -1/-1 = 1

Dilating the triangle has no effect on the slope.

The slope of B'C' is 1.

Answer:

.45

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

If you divide 45 by 100, the decimal point will move two times to the left because there is two 0's in 100, making it 0.45

Answer: B. y = 2/3 x - 13/3

Step-by-step explanation:

two lines are said to be parallel if they have the same slope.

To find the slope of line K we will use the formula fro calculating slope which is :

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]x_{1}[/tex] = 2

[tex]x_{2}[/tex] = 8

[tex]y_{1}[/tex] = -3

[tex]y_{2}[/tex] = 1

substituting into the values into the formula , we have :

m = [tex]\frac{1-(-3)}{8-2}[/tex]

m = [tex]\frac{4}{6}[/tex]

m = [tex]\frac{2}{3}[/tex]

Therefore : the slope of line K = [tex]\frac{2}{3}[/tex] , this means that any line that will be parallel to K must have a gradient of [tex]\frac{2}{3}[/tex].

The only line that has a gradient of [tex]\frac{2}{3}[/tex] is the line y = 2/3x - 13/ 3 ,this means that the line is parallel to Line K

Answer:

3

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2}x +1[/tex]

Step-by-step explanation:

We are given;

The equation of a line;

[tex]y-4 = -\frac{2}{3}(x-6)[/tex]

We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).

We need to know that the product of gradient of two parallel lines is -1

m₁× m₂ = -1

Thus;

m₂ = -1 ÷ -2/3

     = 3/2

Thus, the gradient is 3/2 and the line passes through (-2,-2)

Thus, to get its equation, we take another point (x,y)

We get;

[tex]\frac{y+2}{x+2}= \frac{3}{2}[/tex]

Then;

[tex]2(y+2)=3(x+2\\2y + 4 = 3x + 6[/tex]

Combining the like terms,

[tex]2y=3x+2[/tex]

In the form of slope-intercept;

[tex]y=\frac{3}{2}x +1[/tex]

Answer: 10 , 11 , 12

Step-by-step explanation:

Let the integers be : x , x + 1 and x + 2

the smallest multiplied by 3 implies 3x

From the first statement

3x = 18 + (x+2)

3x = 18 + x + 2

3x - x = 18 + 2

2x = 20

x = 10

Therefore : the numbers are : 10 , 10 + 1 and  10 + 2

the numbers are : 10 , 11 , 12

Answer:

10,11,12

Step-by-step explanation:

3 consecutive integers...x and x + 1 and x + 2

3x = x + 2 + 18

3x = x + 20

3x - x = 20

2x = 20

x = 20/2

x = 10

x + 1 = 10 + 1 = 11

x + 2 = 10 + 2 = 12

ur numbers are 10, 11, and 12

-5x(-7x^3)

Because -7x^3 is in parentheses, you add the degrees together:

35x^4

Answer:

B? sorry if its wrong

Step-by-step explanation:

Answer:

The answer is not set c!

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

-1+y=-1

y=0

Step-by-step explanation:

cuz you basically add 1 to both sides

Answer:

The value of A in the given graph of the equation is 1

That is A=1

Step-by-step explanation:

Given graph of the equation is Ax+2y=-2

Given that the equation of line Ax+2y=-2 passes through the point (2,-2)

Let (x,y) br the point (2,-2)

Therefore we have that

A(2)+2(-2)=-2

2A-4=-2

2A-4+2=-2+2

2A-2=0

2A=2

[tex]A=\frac{2}{2}[/tex]

Therefore A=1

Therefore the value of A in the given graph of the equation is 1

Question:

What is the numerator of the simplified sum?

x/x^2 +3x+2 + 3/x+1

Answer & Step-by-step explanation:

The given equation is as follows.

       \frac{x}{x^{2}+3x+2} + \frac{3}{x+1}

Taking L.C.M, the equation will become as follows.

      \frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)}  ........ (1)

Factorize the equation x^{2}+3x+2 in the denominator as follows.

        x^{2}+3x+2

      =  x^{2} + 2x + x + 2  

      = x(x+2) + 1(x + 2)  

      = (x+1)(x+2) ........ (2)

Put the factors in equation (2) in to equation (1), then the equation will become as follows.

     \frac{x(x+1)+ 3(x^{2}+3x+2)}{(x^{2}+3x+2)(x+1)}

    = \frac{x^{2}+x +3x^{2}+9x+6)}{(x+1)(x+2)(x+1)}

    = \frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}

Now, factorize the numerator as follows.

      \frac{4x^{2}+10x+6}{(x+1)^{2}(x+2)}

   = \frac{4x^{2}+4x+6x+6}{(x+1)^{2}(x+2)}

   = \frac{4x(x+1) + 6(x+1)}{(x+1)^{2}(x+2)}

   = \frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}

Cancelling (x+1) from both numerator and denominator. Then the equation will be written as follows.

      \frac{(4x+6)(x+1)}{(x+1)^{2}(x+2)}

    = \frac{(4x+6)}{(x+1)(x+2)}

The numerator of simplified sum is (4x+6).

4x+6
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The premium of the policy is approximately $64,198.32.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the premium of the policy, we need to take into account the probability of the person dying in the next 20 years and the payout of the policy.

Let P be the probability of the person dying in the next 20 years, and let A be the administrative costs of the policy.

Then the expected value of the payout of the policy is:

E(payout) = P x $60,000

And the expected value of the cost of the policy (including administrative costs) is:

E(cost) = P x premium + A

We want to find the premium of the policy, so we can rearrange this equation to solve for the premium:

premium = (E(cost) - A) / P

Substituting the given values, we get:

P = 0.072698

A = $75

E(payout)

= P x $60,000

= 0.072698 x $60,000

= $4,361.88

Now we need to calculate the expected value of the cost of the policy.

The cost of the policy includes both the payout (if the person dies) and the administrative costs (whether or not the person dies).

So we can write:

E(cost) = E(payout) + A x (1 - P)

where (1 - P) is the probability that the person will not die in the next 20 years.

Substituting the given values, we get:

E(cost) = $4,361.88 + $75 x (1 - 0.072698) = $4,746.88

Finally, we can calculate the premium of the policy:

premium = ($4,746.88 - $75) / 0.072698 = $64,198.32

Therefore,

The premium of the policy is approximately $64,198.32.

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hope it helps I just did it

Answer:

x = 4 and y = 8

Step-by-step explanation:

Using the tangent and cosine ratios in the right triangle and the exact values

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{4\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4

-------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] y = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 8

an example of an equivalent inequality is

5+(-m) is greater than or equal to 20

Answer:

Step-by-step explanation:

recall that for a radical expression, the following apply

[tex]\sqrt[x]{y} = y^{\frac{1}{x} }[/tex]

compare this with our case, we can clearly see that

x = 4 and y = 10,

substituting into the above equation gives:

[tex]\sqrt[4]{10} = 10^{\frac{1}{4} }[/tex]

The expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].

The general equation of a exponential relationship is -

y = Aeˣ

The general equation of a quadratic equation is -

y = ax² + bx + c

Given is the following expression -

[tex]$\sqrt[4]{10}[/tex]

We can write the given expression in the form of exponential expression as -

y = [tex]$(10)^{\frac{1}{4} }[/tex]

Therefore, the expression [tex]$\sqrt[4]{10}[/tex] can be written as an exponent as [tex]$(10)^{\frac{1}{4} }[/tex].

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