Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

Answer:

[tex]\boxed{\dfrac{y}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{1}{x} }{\dfrac{1}{y} } \ \text{can also be written as} \ \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

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

[tex]\rightarrow \dfrac{1}{x} \div \dfrac{1}{y}[/tex]

Simplifying the expression using "a ÷ b = a x 1/b"

[tex]\rightarrow \dfrac{1}{x} \times y[/tex]

[tex]\rightarrow \boxed{\dfrac{y}{x}}[/tex]

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

[tex]C=54138\times68\\C=3681384[/tex]

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

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Step-by-step explanation:

I am always available to help, post your worry

Answer: 2/21

Step-by-step explanation:

6/63= 2/21

Answer:

9330

Step-by-step explanation:

6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =

9330

Answer:

The answer is 9330

Hope it helps

✧GHOSTOFSPARTA✧

Answer:

[tex]7y=-5x-11[/tex]

Step-by-step explanation:

Since it says the lines are parallel both of their gradients will be same.

so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]

so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]

                                   = [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]

                                   = [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]

                                   = [tex]y =-\frac{5x+10}{7}-3[/tex]

                                   = [tex]7y=-5x-11[/tex]

Step-by-step explanation:

basically a line equation typically looks like

y = ax + b

with a being the slope, and b bent the y-intercept (y value when x = 0).

5x + 7y = 14

7y = -5x + 14

y = -5/7 x + 14/7 = -5/7 x + 2

so, wie know the slope of the original line : -5/7 .

any line parallel to it must have the same slope.

our desired line looks like

y = -5/7 x + b

to get b we use the provided point (-2, -3).

-3 = -5/7 × -2 + b = 10/7 + b

-21/7 = 10/7 + b

-31/7 = b

and the full equation is

y = -5/7 x - 31/7

7y = -5x - 31

5x + 7y = -31

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]

Answer:

27

Step-by-step explanation:

So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.

  According to SOHCAHTOA,

sin=opp/ hyp

sin 64°=x / 30

Cross- multiply, then

x= 30 × sin 64°

x= 26.963

x= 27.0(nearest tenth)

Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

Answer:688

Step-by-step explanation:600+(11x8)=x

x=total

600+88=x

x=688

Answer:

124

Step-by-step explanation:

4*5*3

+

2*4*8

=124

Formula for volume of a rectangular prism is base x height.

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Answer:

Step-by-step explanation:

a)

The total amount coffee beans

b)

The total amount of market price

Answer:

a)   750a + 1200r = 1000000

b)   1065a + 876r = 1000000

Step-by-step explanation:

Define the variables:

Part (a)

Given:

If the plantation yields 1,000,000 kg of coffee:

⇒ 750a + 1200r = 1000000

Part (b)

Given:

If the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:

⇒ $1.42 × 750 = $1065 per hectare

If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:

⇒ $0.73 × 1200 = $876 per hectare

Therefore, if the plantation produces coffee worth $1,000,000:

⇒ 1065a + 876r = 1000000

ANSWER:

e. 4 and 2

f. 1 and 3

g. 5 and 6

h. 7 and 8

Ok done. Thank to me >:3

Answer:

[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]

Step-by-step explanation:

let V be the volume of the prism

    B The area of the base which is a triangle

    h is the height of the prism

______

Formula:

V = B × h

________

[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]

h = 16

Now we calculate:

[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]

Answer:

Its 8

Step-by-step explanation:

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

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Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

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The degree of a polynomial is categorized by its highest power of its leading variable.

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial  2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial​, the degree of the polynomial is 5.

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Answer:

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

A-18x+15

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

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Here is how it is graphed:

Answer: 244 degrees

Step-by-step explanation:

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

Answer:

pretty sure its y = 2x +1

Step-by-step explanation: