Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,
Sine
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]
Cosine
[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]
Tangent
[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]
Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.
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y varies directly as x y=-8 when x=-2 what is the equation find x when y=32
Answer:
8
Step-by-step explanation:
The triangle on the grid will be translated two units left.
On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).
Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)
Given:
The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).
The figure is translated 2 units left.
To find:
The vertices and the diagram of the triangle after the given translation.
Solution:
if a figure is translated 2 units left, then
[tex](x,y)\to (x-2,y)[/tex]
Using the above rule, we get
[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]
[tex]A(-1,-1)\to A'(-3,-1)[/tex]
Similarly,
[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]
[tex]B(-1,-5)\to B'(-3,-5)[/tex]
And,
[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]
[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]
So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
Which is greater 52,800 cm or 1 km?
Answer:
1 km
Step-by-step explanation:
According to the unit of conversion in every 1 kilometer, there is a total of 100 000 centimeters. Now, the given value of centimeters is equals to 52 800 => 1 km = 100 000 cm => 52 800 cm is less than the value of 100 000 cm which is equivalent to 1 km. Thus, the given is not correct.
Is this a Function or not a Function?
Help
Answer:
yes
Step-by-step explanation:
no
What is 3b to the second power if b is 4
A cup of milk has 10 grams of protein. How much protein is in 2.5 cups of milk?
Answer:
25 grams of protein
Step-by-step explanation:
10 grams of protein is in 1 cup of milk.
To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.
There are 5 grams of protein in 0.5 cups of milk.
Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.
There are 20 grams of protein in 2 cups of milk.
But, the question is asking for how much protein is in 2.5 cups of milk.
Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.
20+5 is 25 grams.
There are 25 grams of protein in 2.5 cups of milk.
Theoretically, if a month is chosen 300 times,
how many times would you expect a month
that starts with the letter J?
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because [tex]\frac{3}{12}=\frac{1}{4}[/tex], which is 25%. 25% of 300 (or [tex]\frac{300}{4}[/tex], for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
P.S: Please mark me as brainliest!
1/4(16p+8) ÷ 2(p+2)
someone help
Answer: 1/2(16p+8)(p+2)
Explanation: There is a lot to do, but basically you must simplify the equation and then multiply by 4 on both sides
Which One Doesn't Belong?
Answer:
I THINK C I’m not totally sure because it has an end point visible
Step-by-step explanation:
Find the slope of the line
Answer:
2/3
Step-by-step explanation:
Answer:
Slope = -6
Step-by-step explanation:
What is the value of x? sin(x+37)°=cos(2x+8)° Enter your answer in the box. x =
The answer is x = 15.
15 or 20.33 are the possible values of the x.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
We know that sin(x+37)°=cos(90°-(x+37)°) and cos(2x+8)°=sin(90°-(2x+8)°)
So we have sin(x+37)°=cos(2x+8)° becomes sin(x+37)°=sin(82°-2x)
For the above equation to be true, either of the following must hold:
x+37 = 82 - 2x (since the sin function is periodic)
x+37 = 180 - (82-2x)
Solving the first equation for x gives:
3x = 45
x = 15
Solving the second equation for x gives:
3x = 61
x = 20.33 (rounded to two decimal places)
Therefore, the possible values of x are 15 or 20.33 (rounded to two decimal places).
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What is the sum of the interior angles of a regular dodecagon (12 sided polygon)? Round to
the nearest thousandth.
Answer:
1800°
Step-by-step explanation:
(12-2)x180 = 1800
how do I solve this??
Answer:
i guess you multiply 3and 30good lu8ck
Step-by-step explanation:
Answer:
3x+30=90 complementary
3x=90-30
x=60/3=20
x=20° is your answer
Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?
Answer:
each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*
A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales tax?
Answer:
$27.50
Step-by-step explanation:
First, find the cost with the 15% off sale
29.95(0.85)
= 25.46
Find the price with the sales tax:
25.46(1.08)
= 27.5
So, the sale price of the game with tax is approximately $27.50
WILL GIVE BRAINLIEST!!! If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
The surface area of the figure is 204 sq.unit.
What is Surface Area ?The surface area of a three dimensional figure is the sum of area of all its faces.
Here a three dimensional figure is given and surface area has to be calculated.
The base is a cuboid
Surface Area of a cuboid = SA= 2lw+2lh+2hw
SA = 2 * 6 * 6 +2 * 6 * 3 + 2 * 6 * 3
SA = 144 sq.units
The Surface Area of the 4 triangle surface = 4 * (1/2) * base * height
SA = 2 * 6 * 5 = 60 sq.units
The total surface area = 144 +60 = 204 sq.units
Therefore the surface area of the figure is 204 sq.unit.
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i dont actually have a question to put here so look at the photo
Answer:
it's the third option
Step-by-step explanation:
I think I'm pretty sure
hope this helped ;)
How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?
Answer:
90 toys
Step-by-step explanation:
We should use the same unit for time. Rewrite 20 minutes as 1/3 hour.
The unit rate is then:
3 toys 9 toys
----------------- = -----------
1/3 hour hour
Multiply this unit rate by 10 hours, obtaining 90 toys
Please answer correctly! I will mark you Brainliest! The pictures go together!
Answer: the volume of the cone is 21 inches cubed
Step-by-step explanation:
Answer:
65.97 or 65.96
Step-by-step explanation:
follow this picture and i want you to know that sometimes if you look it up and put in the info, it will be 1 or 2 off. sometimes it’s right. the actual formula for finding volume is V= 1/3h(pi)r and to the second power.
now i have no clue if i did this right but i will let you follow your instinct and whatever anyone else says! i’m sorry if this isn’t helpful but i tried by best at describing :)
Find the volume of the cylinder. Use 3.14 for T.
height of 1ft radius of 2ft
Answer:i don’t know yet give me a sec
Step-by-step explanation:
Answer:
12.56 cubic feet (ft^3)
Step-by-step explanation:
Area of the circular face of the cylinder = (pi)r^2, or (3.14)(2)^2.
This ends up being equal to 12.56. Multiply this by the height of the cylinder, 1, and you get 12.56, your final answer.
I would appreciate Brainliest, but no worries.
Pleaser help me I’m confused
Answers:
A:section A
B: section B
C: Section C
D: Section D
Answer:
SECTION C (i think)
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
section c
it's square root is 4.123......
I have 10 shirts, 9 pants, 4 shoes, and 1 hats. How many unique outfits do I have?
(x^4+3x^3+x-4)/(x+3)
Answer:
x^3 + 1 + (−7) / x+3
Step-by-step explanation:
Plz help I’ll give brainliest
1. y= -5
2. m=0
3. I dont know
1. 3x+4y=-20
x=0
3×0+4y=-20
0+4y=-20
y=-5
2. m=y/x
m=0/1
m= 0
3. Sorry
what is the range of the following data set ? 16, 19, 24, 27, 29, 32, , 33, 34
Help and an explanation would be greatly appreciated.
Answer:
the answer is D
hope it help
Answer: D, x²-6x+9
Step-by-step explanation:
(x-3)² is the same as (x-3)(x-3).
So you would do:
x times x=x²
x times -3=-3x
-3 times x=-3x
-3 times -3=9
The equation would look like this:
x²-3x-3x+9
Then you would have to collect the like terms. Like terms are terms that have the same variables and powers. So it would look like this:
x²-6x+9
Hope this helps :)
how do you determine if a relation is a function
Answer:
Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Hello I was wondering if someone would help me with this tricky question?
Answer:
The two coordinates should be (6, 3) and (10, 4).
Step-by-step explanation:
rise / run
y-value of the 2nd coordinate = 3 + 1 = 4
x-value of the 2nd coordinate = 6 + 4 = 10
The two coordinates should be (6, 3) and (10, 4).
Martin drew a triangle. Its sides were
3
cm
3 cm3, start text, space, c, m, end text,
4
cm
4 cm4, start text, space, c, m, end text, and
5
cm
5 cm5, start text, space, c, m, end text.
It has one right angle and two acute angles.
Answer:
It is a right triangle
Step-by-step explanation:
Complete question
Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is ----- and ------ .
First you must know that for a triangle to be right angled, the square of the largest side must be equal to the sum of the square of the other two sides
Given
Largest side c = 5
Other sides a = 3 and b=4
Square of largest side c² =5²=25
Sun of the squares of other two sides = a²+b²
Sum of the squares of other two sides =3²+4²
Sum of the squares of other two sides = 9+16 =25
Since c² =a²+b² according to pythagoras theorem, hence the triangle is right angled
If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?
Answer:
We have that y = 21 when x = 11.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.
33 - 7
y - 11
So
[tex]11y = 33*7[/tex]
Dividing both sides by 11
[tex]y = 3*7 = 21[/tex]
We have that y = 21 when x = 11.