Mathematics High School

find the value of each variable

Answers

Answer 1

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

Related Questions

6. Leveled Practice Resting heart rate is a measure of how
fast the heart beats when a person is not performing
physical activity. The graph shows the number
of heartbeats over time for a given person.
a. Use two sets of coordinates to write an equation
to describe the relationship.
280 -
II
m is
-2
y=
Х

Answers

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

m = (280 - 140)/ (4 - 2) = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates are from the given graph.

(1, 70), (2, 140), (3, 210), and (4, 280)

Now,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation from the graph can be written as,

y = mx + c

(1, 70) = (x, y)

70 = 70 x 1 + c

c = 70 - 70

c = 0

So,

The equation of the line from the graph.

y = 70x

1 minute = 70 heartbeats.

The heart's resting heart rate is 70 beats per minute.

Thus,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Please Help! Malik agreed to practice basketball drills with a new player, Tyler, during practice. Malik's best friend, Samuel, doesn't like Tyler and asked Malik to practice with him instead.

What can Malik do to show integrity?

Answers

Malik can remain honest with his partner Samuel and respect his opinion.

How to determine if a series converges or diverges.

Answers

You determine it by moving on me number to the other and simplelfying

Help me please help

Answers

Answer:

165°

.............

The original price of a sound system is $1250. For one day only, the store is offering a frequent shopper discount of 35% on all merchandise. Which expressions can be used to find the discounted price of the sound system? Check all that apply.

0.35($1250)
$1250 + 0.35($1250)
0.65($1250)
$1250 – 0.35($1250)

Answers

Answer:

C.)0.65($1250)

D.)$1250 – 0.35($1250)

Step-by-step explanation:

O.P (Original Price) $1250

Dc (Discount) 35% - *ALL MERCHANDISE*

Question:

Which expressions can be used to find the discounted price of the sound system?

Second Answer:

C & D are the two options that fit the

O.P (Original Price)

Dc (Discount)

Answer:

C and D

Step-by-step explanation:

Find the slope of the line passing through the two points (-2,1) (6,-1)

Answers

Answer:

-1/4

Step-by-step explanation:

We use the formula:

[tex] \frac{y₂ -y₁}{x₂ -x₁} [/tex]

plugging in we have

[tex]\frac{ (- 1)-(1)}{(6) -( - 2)} = \frac{ - 2}{8} = - \frac{1}{4} [/tex]

Therefore our slope is -1/4

12-inch-tall boxes are being stacked next to 8-inch-tall boxes.
What is the shortest height at which these two stacks will be the same height?

Answers

Answer:

First, we have to find the LCM of 12 and 8 which would be 24. Since we have to multiply 8 by 3, and 12 by 2, then the shortest height would be two 12-inch boxes, and three 8-inch boxes.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

The function c(x) = 400x – 0.2x2 represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold. which statement is true? one thousand units have the minimum cost of $200,000. one thousand units have the maximum cost of $200,000. two thousand units have the minimum cost of $800,000. two thousand units have the maximum cost of $800,000.

Answers

At x = 1000 we get the c(1000) = 2000,000. Second statement 'one thousand units have the maximum cost of $200,000' is true.

It is given that the function [tex]\rm c(x)=400x-0.2x^2[/tex] represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold.

It is required to find which statement is true, mentioned in the question.

What are the maxima and minima of a function?

Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

[tex]\rm c(x)=400x-0.2x^2[/tex]

To find the maxima and minima of any function we differentiate the function with respect to [tex]\rm x[/tex] and equate to zero.

[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x-0.2x^2)[/tex]

[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x)-\frac{d}{dx} (0.2x^2)\\\rm \frac{d \ c(x)}{dx} =400-(0.2\times2x)\\\rm \frac{d \ c(x)}{dx} =400-0.4x[/tex]

For maxima and minima [tex]\rm \frac{d \ c(x)}{dx} =0[/tex]

[tex]\rm 400-0.4x=0\\\rm x=\frac{400}{0.4} \\\rm x=1000[/tex]

If we find the seconnd differentiate, we get

c''(x) = -0.4 < 0

It means at x = 1000 we will get the maximum value of a function.

[tex]\\\\\rm c(1000) = 400(1000) - 0.2(1000)^2\\\rm c(1000)= 200,000[/tex]

Thus, at x = 1000 we get the c(1000) = 2000,000. Second statement is true.

Know more about the maxima and minima here:

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Answer:

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.

Multiply (9 - 4i)(2 + 5i)

Answers

Answer:

38+37i

Step-by-step explanation:

The two circle graphs show the popularity of five subjects in a high school in 2000 and again in 2008. Students were asked to name their favorite subject each year. The total student population was the same in 2008 as it was in 2000. What do the graphs show? A) More students chose chemistry in 2008. B) Math was chosen more often in 2008 than in 2000. C) Twice as many students picked history in 2008 as did in 2000. D) English was the second most popular subject in both 2000 and 2008.

Answers

Answer:

Gross Domestic Product (GDP) includes all final goods and services produced within a country, in a specific period and doesn't necessarily include all the transactions that are going in the economy.

For example: Used domestic car buying or selling won't be counted for the GDP of current year, as it was manufactured and sold in 2000.\]Step-by-step explanation:

Let's check one by one

Chemistry remains 13%

False

Yes 5%-->7% increase

True

Yes 15(2)=30%

True

In 2000 but not in 2008

False

Simplify 3^(eight) divided by 3^(two)

Answers

Answer:

1/4

Step-by-step explanation:

Hope this Helps!

If you were to solve this inequality,
do you need to flip the Inequality symbol?

Answers

Answer: no

I would not flip the inequality symbol

Answer:

I think fractions are smaller than whole numbers

So I think No (viewpoint)

A bag contains four colors of marbles. The probability of randomly drawing out a yellow marble is 73%.

What is the probability of not drawing a yellow marble?

Enter the answer in the box.

Probability of not drawing a yellow marble =

Answers

Answer:

2.92%

Step-by-step explanation:

Please help it's urgent

Answers

Answer:

no solutions exist

Step-by-step explanation:

rotation is correct! :))

Step-by-step explanation:

bc when i clicked rotation, the answer was valid and correct.

What is an equation of the line that passes through the points (0, -5) and
(-5,-1)?

Answers

Answer:

we find first slope

m=(-5+1)/(0+5)

m=-4/5

y-y1=m(x-x1)

y+ 5=(-4/5)(x-0)

5y+25=-4x

so equation is. 4x+5y+25=0

Answer:

y=[tex]-\frac{4}{5}[/tex]x-5

Step-by-step explanation:

The coordinates (0,-5) tells us the y intercept of the line, which is -5.

To find the equation of the line, we have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :

m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]

we then solve for m(the slope) and we get:

m=[tex]-\frac{4}{5}[/tex]

so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5

Please help i need to complete this by tomorrow

Answers

Answer:

ED: 6.5 cm BE = 14.4 cm

Step-by-step explanation:

Add 20 and 5 to get side AC.

25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.

Multiply 26 by the SF to get AD.

Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)

To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.

Using that number, multiply it with 18 to get BE.

The answer should be 14.4 cm.

This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.

Answer:

ED = 6.5 cm , BE = 14.4 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is

(a)

[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )

[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )

20 AD = 650 ( divide both sides by 20 )

AD = 32.5

Then

ED = AD - AE = 32.5 - 26 = 6.5 cm

(b)

[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

Answer:

(3,-5)

Step-by-step explanation:

4+1=5 put it on negative side makes it -5.

Pierre has 12 packages to send he sent two packages on Monday and to two more packages on Tuesday what fraction of the packages has Pierre sent so far

Answers

Answer:

1/3

Step By Step Explanation:

He has sent 4/12 packages which is reduced to 2/6 which is reduced to 1/3.

Give an explanation for them
1. What is scientific notation?

2. What does it mean to have no solution or many solutions to a problem when solving for x?

3. What is another way of writing: 2 x 2 x 2 x 2 (hint: use exponential form)

Answers

Answer:Scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form

Step-by-step explanation:

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