Answers
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
{56, 63, 70, 77,..., 126} the best set builder notation
Answers
Answer:
7
Step-by-step explanation:
63-56 = 7
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:
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:
https://brainly.com/question/6422517
Answer:
B
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.
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
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)
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
#1
Chemistry remains 13%False
#2
Yes 5%-->7% increaseTrue
#3
Yes 15(2)=30%True
#4
In 2000 but not in 2008False
Pls help I need help with math
Answers
I hope it helped you!!
Oof
Answer:
20x
Step-by-step explanation:
First of all, we need to always do the x first. And then subtract it I guess.
25x + (5x – 10)
30x-10
20x
How to determine if a series converges or diverges.
Answers
Evaluate y = 3x, when x = -4.
A
y = -12
y = 1/81
y = -81
Answers
Answer:
y = -12
Step-by-step explanation:
Plug the value of x (-4) into the original equation and solve:
y = 3(-4)
y = -12
An angle measures 64.8° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
77.4 degrees and 12.6 degrees
Step-by-step explanation:
Let the angles be x and x - 64.8.
Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :
x + x - 64.8 = 90
2x = 154.8
x = 77.4 degrees
x - 64.8 = 77.4 - 64.8 = 12.6 degrees
Can someone help me please !
Answers
Answer:
(3,-5)
Step-by-step explanation:
4+1=5 put it on negative side makes it -5.
Simplify 3^(eight) divided by 3^(two)
Answers
Answer:
1/4
Step-by-step explanation:
Hope this Helps!
Multiply (9 - 4i)(2 + 5i)
Answers
Answer:
38+37i
Step-by-step explanation:
Please help it's urgent
Answers
Answer:
no solutions exist
Step-by-step explanation:
You can rewrite the denominator as:
-2(2x-6) so the equation becomes:
[tex]-\frac12 \cdot \frac{2x-6}{2x-6} > 0[/tex]
from which you can see that not only should x ≠ 3, but for all values of x≠3 the equation is false.
which type of transformation maps triangle GFH onto triangle G'F'H'
translation
reflection
rotation
dilation
Answers
Answer:
ROTATION IS THE CORRECT ANSWER!
Step-by-step explanation:
Cuz
Answer:
rotation is correct! :))
Step-by-step explanation:
bc when i clicked rotation, the answer was valid and correct.
After an increase of 25%, there were 800 students in Hockessin Middle School. How many students were at the middle school before the increase?? ( please answer!! )
Answers
Step by Step Explanation:
If there was an increase of 25% that means it was 100% earlier. 100+25 = 125%
800=125%
To get from 125 to 100 divide by 1.25
800/1.25=640
640=100%
literally just doing this so i can graduate lol
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
What is the least common multiple of 3, 8, and 11?
Answers
Answer:
264
Step-by-step explanation:
Answer: The Least Common Multiple (LCM) for 3, 8 and 11, notation LCM (3,8,11), is 264 Solution by using the division method This method consists of grouping by separating the numbers that will be decomposed on the right side by commas while on the left side we put the prime numbers that divide any of the numbers on the right side.
Need help
I will give brainliest
Answers
Answer:
4c=12
Step-by-step explanation:
In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.
Which of the following is the function f(x) if F"(x) = { +3?
A. f(x) = 8(x-3)
B. f(x) = 8(x + 3)
C. f(x) = 8x+3
D. f(x) = 8x-3
Answers
Answer:
C C C C C.....is a function
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
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:
what set does 13.444 belong to
Answers
Answer:
13.4445 I think.
Step-by-step explanation:
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 )
[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )
25 BE = 360 ( divide both sides by 25 )
BE = 14.4 cm
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:
Help me please help
Answers
Answer:
165°
..
..
..
..
..
..
.............
i do not what the answer for this Luca is mountain climbing with Tommy and has just climbed a 16-meter vertical rock face. Tommy is standing at the bottom of the cliff, looking up at Luca. If Tommy is 20 meters away from Luca, how far away from the cliff is Tommy standing?
Answers
Answer:
Plug in a = x, b = 16, c = 20
Step-by-step explanation:
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
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