Answers
The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.
Given :
Given side AB in triangle ABC has length x.
The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.
The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:
[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]
Now, put the known values in the above equation.
[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]
[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]
AC = 2x
So, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/21286835
Related Questions
The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.
Answers
Step-by-step explanation:
4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%
18. Write the equation of the following line in function notation
Answers
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Simplify 5 x a 5 x a
Answers
Answer:
(5)2 x (a)2
Step-by-step explanation:
Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.
what is the equation of line that passes through(-6,-3) and is parrelel to the line 5x-3y=9
Answers
Answer:
y+3=5/3(x+6)
Step-by-step explanation:
Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.
5x-3y=9
5x=9+3y
5x-9=3y
y=5/3x-3, and the slope would be 5/3.
Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.
y+3=5/3(x+6)
Answer: [tex]\frac{5}{3}[/tex]x + 7
Step-by-step explanation:
Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.
Answers
Answer:
A = positive
B = positive, negative
C = negative
D = positive, negative
Answer:
A Positive coordinates (5,5) B Negative and Positive coordinates (-5,5) C Negative coordinates (-5,-5) D Negative and Positive coordinates (5,-5)
Step-by-step explanation:
Pls mark brianlist hope this helps .
A company sells three types of gift baskets. The basic basket has two movie passes and one package of microwave popcorn, and costs $15.50. The medium basket has two movie passes, two packages of microwave popcorn, and one DVD, and costs $37. The super basket has four movie passes, three packages of microwave popcorn, and two DVDs, and costs $72.50.
Create a system of equations and solve using matrices to find the price of each basket item.
Answers
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.
For the basic:
2x + y = 15.50 (1)
For medium:
2x + 2y + z = 37 (2)
For super:
4x + 3y + 2z = 72.50 (3)
[tex]\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =[/tex]
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
Find out more at: https://brainly.com/question/21105092
FOR A BRAINLST PLS BE ACCURATE
Answers
Answer:
the answer is the third
hope it help
What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer
Answers
Answer:
15
Step-by-step explanation:
it's where you start. where your going to start you slope on the graph which means that the x would be 0
Which expression best estimates 6 3/4 divided by 1 2/3
A 7 divided by 2
B 6 divided by 1
C 8 divided by 3
D 3 divided by 2
Answers
Answer:
B is my answer si no sorry
Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?
Answers
UwU
Solve for q
a-q=a+sx
Answers
Answer: q = -sx
Step-by-step explanation:
You can buy a seat cushion at the College Softball World Series for $4. They
paid $2.50 to have them made, and they make a profit of $300 when sold out.
How many seat cushions did they have made?
Answers
Answer:
$118.40
2.50x Plus 4 Equal 300
2.50x Equal 296
2.50x/2.50 Equal $118.40
PLEASE TELL ME IF I AM WRONG!If 2/15 is 40 then 1/15 is?
(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)
Answers
Answer:
20
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] = 40
[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]
40 ÷ [tex]\frac{2}{1}[/tex] = 20
you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price
Answers
g = 64.99 - 4.98
Step-by-step explanation:
If g is the original price then if you subtract the difference between the original price and the current price.
What is the cost to make one flag?
Answers
Answer:
$1.75
Step-by-step explanation:
3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars
Hurry Yes Please Help I am handing A Brainlist
Answers
[tex]y \geqslant - x + 3[/tex]
[tex]y < \frac{1}{2} x + 3 \\ [/tex]
now just put the coordinates of point ( 1 , 1 ) in the above inequalities and check if they correct or wrong :
[tex]1 \geqslant - 1 + 3[/tex]
[tex]1 < \frac{1}{2} (1) + 3 \\ [/tex]
So :
[tex]1 \geqslant 2[/tex]
[tex]1 < 3.5[/tex]
1 is lower than 3.5 of course but geuss what ?
Is 1 higher than 2 or equal to 2 ? Nope not at all
Thus the correct answer would be :
" no , it is not a solution "
How to solve quadratic inequalities.
Answers
Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...
Plot those numbers on the number line as open or closed points based upon the original inequality symbol.
Choose a test value in each interval to see if the interval satisfies the inequality or not.
Round 0.817446 to the ten-thousandths place. Please I need this fast!!!!
Answers
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
x/5+5=6
32−4x=12
11 + 6x = 22
3x + 1 = 9
25/x+4=9
Answers
A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.
Answers
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
Learn more here:
https://brainly.com/question/12904891
HELP!!
Formula
Y=___x +___
Answers
Answer:
look at the slope rise of 2 run of -1 or other way around so slope is
[tex] y = - \frac{2}{1}x + 5[/tex]
(-5)^-2
Please help me
Answers
Answer:
0.04
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
don't want to write it
you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off
Answers
Answer: The answer is $254.15
A graph representing a proportional relationship goes through the origin:
Question 2 options:
Always
Sometimes
Never
When it feels like it
Answers
The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).
Recall:
A proportional relationship graph represents a relation between two variables that are directly proportional to each other.In a proportional graph, the constant of proportionality, k, remains the same.The graph attached below shows a proportional graph between time and water used.In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.
Therefore, the graph representing a proportional relationship ALWAYS goes through the origin (0, 0).Learn more about proportional relationship on:
https://brainly.com/question/15618632
(100 Points) (Marking as Brainiest)
Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answers
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 4the maximum speed of a car is 252 km/h change this speed into meters per second
Answers
Answer:
70.0000000001 meters per second
Step-by-step explanation:
The formula is to multiply by the factor 0.27777777777817.
252 km/h * 0.27777777777817 = 70.0000000001
Answer these question
Answers
c = 1 > 7 =
According to very reliable sources.
if you multiply 7•4 then you get 28 (and photo math agrees)
Determine whether 5^25m^2 • 5^25m is equivalent to each of the following expressions.
I’ll give brainliest
Answers
Answer:
None of the listed expressions
Step-by-step explanation:
Using the Product Law of Exponents, we can simplify 5^25m^2 • 5^25m into 5^(25m^2 + 25m).
Simplify:
5^25m(m + 1)
In this case, none of the following responses are equivalent. The first two are incorrect because you can't add variables that are set to different powers and the last one is incorrect because if you wanted to change the base from 5 to 25, you would divide the exponent by 2 instead of take the square root.
Answer:
Step-by-step explanation:
In a parallelogram ABCd, angle a + angle b = ?
Answers
Answer:
180
Step-by-step explanation:
Easy way: they're conjugate angles relative to the two parallel sides and the trasversal joining them, their sum is 180.
Longer(??) way: In a parallelogram two opposite angles are congruent. Since the sum of the internal angles is 360, a pair of two different angles must sum to 180.
Step-by-step explanation:
In a Parallelogram ABCD , ∠ A + ∠B = 180°
Since , The Adjacent angles in a Parallelogram are Supplementary.
Additional comment:
• In a Parallelogram, Opposite angles are equal
•The sum of two adjacent angles is 180° called Linear pair.
1D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?
Answers
The least prime greater than 17 that is the sum of four different prime numbers is 23
The least prime that is the sum of four different prime numbers is 17
That is, 17 = 2 + 3 + 5 + 7
Prime numbers greater than 17 are 23, 29, 31. 37, 41,........
Prime numbers less than 17 are 2, 3, 5, 7, 11, 13
How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17
The only possible combination is:
2 + 3 + 7 + 11 = 23
Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23
Learn more here: https://brainly.com/question/25664167