The sine of an acute angle in a right triangle is the ratio of the angle of the triangle to the opposite side of the hypotenuse.
Trigonometric ratios:
Trigonometric ratios are the ratios of the lengths of the sides of a triangle. These ratios in trigonometry relate the aspect ratio of a right triangle to each angle. A basic trigonometric ratio is the ratio of sin, cos, and tan, or the ratio of sin, cos, and tangent. Other important trigonometric ratios cosec, sec, and cot can be derived from sin, cos, and tan, respectively.
Acute Sine Ratio:
The tangent function examines the ratio of his two legs of a right triangle. You can also use the ratio of leg length divided by hypotenuse length.
In a right triangle, each angle has an opposite side and an adjacent side. And there is always a hypotenuse. On the opposite side and the hypotenuse we are dealing with the sine ratio. The sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse. In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
Let's examine some properties of the sine ratio using the Pythagorean theorem. For a right triangle, let the lengths of the triangle be a, b, and c. where a is the length of the other side of A and b is the length of the other side of B.
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PLEASE HELP QUICK!!!
Answer:
Alt int angles is 2 and 8, corresponding angles is 4 and 8, linear pair is 6 and 7, and vertical angles is 1 and 3
Step-by-step explanation:
Fact and solve the equation. Show your work.[tex]x^2-11x+10=0[/tex]
Answer:
x = 10 and x=1
Step-by-step explanation:
x^2-11×+10=0
(×-10)(×-1)=0
×-10=0
×=10
×-1=0
×=1
yiu find iut two factors when u multiply will give u 10 and when u add will give u -11 so the 2 factors where -10 and -1
GEOMETRY HELP PLEASE!9
Answer:
[tex]\approx 12.8[/tex]
Step-by-step explanation:
1. Approach
Assume that this problem is asking for the value of the shaded region.
To solve this problem, one must find the area of the entire circle. The measure of the arc around the shaded region is given, this measure can be used to find the fraction of the arc around the shaded region is, out of the entire circle. After doing so, multiply the fraction of the arc, by the area of the circle, to find the area of the shaded region.
2. Area of the circle
The formula to find the area of a circle is the following,
[tex]A=\pi r^2[/tex]
Where ([tex]\pi[/tex]) represents the numerical value, ([tex]3.1415...[/tex]), and ([tex]r[/tex]) represents the radius of the circle. The radius of a circle is the distance from the center of the circle to the circumference of the circle, or the outside boundary of the circle.
Substitute in the given values and solve for the area,
[tex]A=\pi r^2\\\\A = \pi (7)^2\\\\A = \pi *49\\\\A\approx 153.938[/tex]
3. Find the fraction that the shaded region takes up
It is given that the arc surrounding the shaded region has a measure of ([tex]30 \degree[/tex]). The central angles theorem states that if the vertex of an arc is the center on the center of the circle, then the measure of the surrounding arc is equal to the measure of the angle. Since there are ([tex]360[/tex]) degrees in the full angle, then the fraction of the are is the measure of the arc over ([tex]360[/tex]). Use this to solve for the fraction that the angle takes up,
[tex]\frac{30}{360}[/tex]
Simplify,
[tex]\frac{1}{12}[/tex]
4. Find the area of the shaded region,
Now multiply the fraction that the arc takes up by the total area of the circle,
[tex]49\pi *\frac{1}{12}[/tex]
Multiply,
[tex]\frac{49\pi }{12}[/tex]
Convert to decimal form,
[tex]=12.82817[/tex]
Pls answer as fast as you can I will give brainliest and 30 points
Answer:
42.602 cm
Step-by-step explanation:
<O =360/5=72°
sin <O =sin 72 = opp/adj = TA / 7
TA = 6.66 cm
Area of ABT = 7*6.66 = 42.602 cm
Solve 5(8x + 4) = 300 . PLEASE HELP ME IT'LL MAKE MY DAY
PLEASE HELP
I will give away 100 points to right answer
Answer:
48 yd^2
Step-by-step explanation:
We can cut this shape into 4 squares which areas are all 4x3 or 12. Therefore, we add 12 four times to get 48.
If this helps please mark as brainliest
A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?
Answer:
Below
Step-by-step explanation:
How many times will the colony double ? 124 / 31 = 4 times
2^4 * 100 000 = 1 600 000
Solve for x.
2x = 25-3x
Simplify your answer as much as possible.
x
=
3 0.8
X
Ś
[tex]2x = 25-3x[/tex]
Simplify:
[tex]2x=-3x+25[/tex]
Add 3x to both sides:
[tex]2x+3x=-3x+25+3x[/tex]
[tex]5x=25[/tex]
Divide both sides by 5:
[tex]\dfrac{5x}{5} =\dfrac{25}{5}[/tex]
[tex]\fbox{x = 5}[/tex]
Mr. Abbey bought 8 plates and 12 drinking cuos from a shop. a plate cosr him ¢5 more than a drinking cup. if he spent ¢940 altogether, how much did a plate and a drinking cup cost?
Answer:
plate cost 50
cup cost 45
Step-by-step explanation:
(8×(X+5)) + (12×X) =940
x=45
therefore
plate cost 50
cup cost 45
Solve the following equation, and check your solution. Show all of your work.
-17+n/5=33
I’ve added my work attached :)
n = 250
Please help 5 questions I need help
Answer:
1. <2, <7
2. 58
3. 78
4. a and b
h5. <2 and <7 ( i think this is the same question as the first one)
Step-by-step explanation:
2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)
2x + 7 = 123, subtract 7
2x = 116, divide 2 for both sides to make x by itself
x = 58
3. 78 because of consecutive interior angles
Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members. If 1 member is selected at random to act as captain, what is the probability that the captain will be a senior?
The required probability that the captain will be a senior is 0.3125.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members.
Total number of person = 14 + 10 + 8 = 32
The probability that the captain will be a senior, then the number of favorable events = 10
The probability that the captain will be a senior is given as,
= 10 / 32
= 0.3125
Thus, the required probability that the captain will be a senior is 0.3125.
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they can chose from blue,red or green shorts and white ,black or purple shirts and yellow or orange socks How many combinations are possible
The width of a rectangle is represented by 5k4h 6r; the length of the rectangle is represented by 7k4h 6r. Which of the following expressions represents the perimeter of the rectangle
5k4h 6r + 7k4h 6r + 5k4h 6r + 7k4h 6r = The perimeter of the rectangle is 24k8h 24r.
1. 5k4h 6r + 7k4h 6r = 12k8h 12r
2. 12k8h 12r + 5k4h 6r = 17k12h 18r
3. 17k12h 18r + 7k4h 6r = 24k8h 24r.
Therefore, the perimeter of the rectangle is 24k8h 24r.
The width of a rectangle is represented by 5k4h 6r, and the length of the rectangle is represented by 7k4h 6r. To find the perimeter of the rectangle, we need to add the width and length of the rectangle together. This can be done by adding 5k4h 6r and 7k4h 6r. The answer to this addition is 12k8h 12r. We then need to add the width and length of the rectangle together again. To do this, we add 12k8h 12r and 5k4h 6r. The answer to this addition is 17k12h 18r. Finally, we need to add the width and length of the rectangle together again. This is done by adding 17k12h 18r and 7k4h 6r. The answer to this addition is 24k8h 24r. Therefore, the perimeter of the rectangle is 24k8h 24r.
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A baby manatee weighs 58 kilograms. At birth the manatee weighed 30 kilograms. What is the percent increase in the manatee's weight rounded to the nearest whole number?
Answer:
93.3% i hope this is right
Step-by-step explanation:
percentage increase= final-original/originalx100
58-30/30x100=93.3333%
How much salsa is missing from the jar?
Number 7 please
How do you know if a graph is logarithmic or exponential?
exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph and if the log term involved in the given function then it is a logarithmic
How do you identify an exponential function from a graph?
Given a graph of a line, we can write a linear function in the form y=mx+b by identifying the slope (m) and y-intercept (b) in the graph. GIven a graph of an exponential curve, we can write an exponential function in the form y=ab^x by identifying the common ratio (b) and y-intercept (a) in the graph
and if the log term involved in the given function then it is a logarithmic
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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
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Given:
The expression is:
[tex]10xy+3y+20ax+6a[/tex]
To find:
The complete factor form of the given expression.
Solution:
We have,
[tex]10xy+3y+20ax+6a[/tex]
By grouping, we get
[tex]=(10xy+3y)+(20ax+6a)[/tex]
Taking out GCF from each parenthesis.
[tex]=y(10x+3)+2a(10x+3)[/tex]
Taking out the common factors, we get
[tex]=(10x+3)(y+2a)[/tex]
Therefore, the correct option is c.
8 minutes:140seconds in ratio form
Answer:
24:7
Step-by-step explanation:
1 minute is 60 seconds, so 8 minutes is 480 seconds.
Then 8 minutes to 140 seconds is 480 seconds to 140 seconds, or
24:7 after reduction.
Work out the equation of the line shown below.
Give your answer in the form y = mx + c, where m and c are
integers or fractions in their simplest forms.
to get the equation of any straight line, we simply need two points off of it, let's use those from the picture below.
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-100})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{140}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{140}-\stackrel{y1}{(-100)}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{(-10)}}} \implies \cfrac{140 +100}{30 +10} \implies \cfrac{ 240 }{ 40 } \implies 6[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-100)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-10)}) \\\\\\ y +100 = 6 ( x +10)\implies y+100=6x+60\implies {\Large \begin{array}{llll} y=6x-40 \end{array}}[/tex]
1. Marta walked 6 miles in 1.5 hours. At this rate how long will it take her to walk 16 miles?
2. Lionel typed 320 words in 4 minutes. At this rate, how long will it take him to type 800 words?
Answer for no.2: 800
Step-by-step explanation:
HELP!!! Find the inverse of the matrix..
Answer:
The matrix does not have an inverse (D)
Step-by-step explanation:
The matrix is singular, therefore doesn't have an inverse
What happened in chapter 3 of The Strange Case of Dr Jekyll?
In Chapter 3 of "The Strange Case of Dr. Jekyll and Mr. Hyde," we see how Utterson's investigation and how Jekyll's addiction to his dark side starts to unravel.
In this chapter, Dr. Jekyll's friend and lawyer, Mr. Utterson, becomes increasingly concerned about the strange goings-on surrounding his friend and his association with the mysterious Mr. Hyde. Utterson begins to investigate the relationship between the two men, and discovers that Jekyll has made a will leaving all of his property to Mr. Hyde. Utterson also discovers that Jekyll and Hyde have the same handwriting, and becomes convinced that Jekyll is hiding something.
As Utterson continues to dig, he is eventually able to piece together the truth of the situation: Jekyll has been using a potion to transform himself into the violent and evil Mr. Hyde. Jekyll reveals to Utterson that he has been struggling for a long time with his dual nature and that the potion allows him to temporarily indulge his darker impulses without fear of discovery. Utterson urges Jekyll to give up the potion, but Jekyll refuses, saying that he is powerless to stop using it.
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Why do the Iroquois perform rituals?
The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.
What is rituals?A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.
All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.
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5. The population of a town went from
100,000 to 137,000 in 5 years. What was
the percent increase in the town's
population
over that time?
A 7.4%
B 37%
C 73%
D 137%
Answer:B or A depending on if it went per year or overall
Step-by-step explanation:100 137, 137-100=37
37/5=7.4
PLZ HELP ASAP!!!
please explain step by step explanation for below problems in comments after answer
1. solve equation for y: 3x - 4y = 16
2. what are the x- and y- intercepts of the line: 4x - 3y = -24
3. which ordered pair is on the graph of the equation 6x + 3y = 9
4. what is the slope of the line that passes through the points (4,8) and (1,6)
Answer:
1) y = 3/4x - 4
2) x-intercept: (-6,0) y-intercept: (0,8)
3) (-2,7)
4) slope: 2/3
Step-by-step explanation:
1) subtract 3x from both sides, divide -4 from both sides, simplify right side which gives you y = 3/4x -4
2) to get x-inter: plug in 0 for y and solve for x, the equation should look like 4x = -24, divide both sides by 4 which gives you x = -6
get y-inter: plug in 0 for x and solve for y, the equation should look like -3y=-24, divide both sides by -3 which gives you y = 8
3) plug in the points from the choices and go from there
4) slope formula: m = y2-y1/x2-x1
is two displacement vectors add to give a total displace,ment of 0 what do you know about the two diplacemenst
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
If the total displacement of two vectors is 0, it means that the final position of an object after being displaced by the two vectors is the same as its initial position. This can happen in a few ways:
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
The two vectors are parallel but pointing in opposite directions. This means that the object is displaced in one direction and then back again, resulting in a net displacement of 0.
The two vectors are perpendicular and the magnitude of each vector is the same. This means that the object is displaced in one direction and then back again in the perpendicular direction, resulting in a net displacement of 0.
Therefore, In all cases, it can be inferred that the two vectors are in some way related to each other in terms of direction and magnitude.
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help ! find x and y
[tex]x + y = 2[/tex]
[tex]y - x = 2[/tex]
Answer:
[tex](x,y)\rightarrow(0,2)[/tex]
Step-by-step explanation:
[tex]\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\[/tex]
Combine system of equations on both sides:
[tex](x+y)+(y-x)=2+2\\2y=4\\y=2[/tex]
Thus,
[tex]x+y=2\\x+2=2\\x=0[/tex]
(x, y) <=>(0, 2)
Step-by-step explanation:
[tex]x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 \div 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2[/tex]
Write your answer in simplest radical form.
Find the value of y.
y = 2√10......... or y=√40
Find the perimeter of an equilateral triangle with a side length of 4x-1
Answer:
12x-3
Step-by-step explanation:
Perimeter is : 3*(4x-1)