Answer:
[tex]sin \theta = - \frac{1}{5}[/tex]
Step-by-step explanation:
We Know
[tex]sin ^2 \theta + cos^2 \theta = 1\\[/tex]
[tex]sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]= 1 - (-\frac{\sqrt{24} }{5})^2[/tex] [tex][\ given : cos \theta = -\frac{\sqrt{24} }{5} \ ][/tex]
[tex]= 1 - \frac{24}{25}\\\\= \frac{25 - 24}{25}\\\\=\frac{1}{25}[/tex]
[tex]sin ^2 \theta = \frac{1}{25}\\\\sin \theta = \sqrt {\frac{1}{25}}\\\\sin \theta = \pm \frac{1}{5}\\\\Since \ \theta \ is \ in \ III \ Quadrant \ sin \theta = -\frac{1}{5}[/tex]
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.
The Chili Cookoff would be more skewed.
The Pie Eating Contest would be more skewed.
The Chili Cookoff would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
Answer:
The answer is A
Step-by-step explanation:
Answer:
A) The Chili Cookoff would be more skewed.
keep going! you are doing GREAT!
Help me pls
this is very important
Answer:
C/3rd one. (y=2x+4)
Step-by-step explanation:
In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
not congruent, they must have 3 equal sides and 3 equal angles. 72+38= 110, which means the last angle is 70°
Step-by-step explanation:
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Type the equation for the graph below.
please help!!!
Answer:
y = 1sin(3x)
Step-by-step explanation:
y = A sin( (2π/ω)x )
A is amplitude = 1
ω is period = 2π/3
------------------------------
y = 1sin( 2π / (2π/3) x)
y = 1sin(3x)
The equation for the graph with a sinusoidal wave, given an amplitude of 1, a period of 2π/3, and a phase shift of 0, is y = sin((2π/3)x).
The equation for a sinusoidal wave can be written as:
y = A * sin(ωx + φ)
In this case, we are given the values of amplitude (A = 1), period (ω = 2π/3), and phase shift (φ = 0).
The amplitude (A) represents the maximum displacement or height of the wave from the center line. In this case, it is 1.
The period (ω) represents the length of one complete cycle of the wave. The period is the reciprocal of the frequency, and in this case, it is 2π/3.
The phase shift (φ) represents any horizontal displacement of the wave. In this case, the phase shift is 0, indicating that the wave starts at its equilibrium position.
Using these values, the equation for the given graph would be:
y = 1 * sin((2π/3)x + 0)
Simplifying it further:
y = sin((2π/3)x)
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Find the value of x
Answer:
x=19.78
Step-by-step explanation:
Given triangle:
P=2.0
h=5.9
[tex]sin x=\frac{2.0}{5.9} \\sin x=0.338\\x= sin ^-10.338\\x=19.78^0[/tex]
Find the value of x.
====================================================
Work Shown:
secant angle = (far arc - near arc)/2
angle BGC = (arc BC - arc AD)/2
40 = (115 - x)/2
2*40 = 115-x
80 = 115-x
115-x = 80
-x = 80-115
-x = -35
x = 35
For more information, you can search out "secant angles" and it should go over how the formula is set up and why it works.
Mr Ahmed shared Rs.70 between his two children in the ratio of their ages. NIda is 7 years old and her brother is 3 years old. Workout how much money each of them recieved
Answer:
The amount Nlda receives = Rs. 49
The amount her brother receives = Rs. 21
Step-by-step explanation:
Ratio of their ages
Nlda : Her brother
7:3
Sum of proportion = 7 + 3 = 10
Amount of money to the shared = Rs.70
The amount Nlda receives = 7/10 × Rs. 70 = Rs. 49
The amount her brother receives =
3/10 × Rs. 70 = Rs. 21
The adjacent sides of a rectangle are (2x – 1) and (x + 5). Find its area.
Answer:
2x²+9x-5
Step-by-step explanation:
Area of a rectangle = Length * Width
If the adjacent sides are 2x – 1) and (x + 5), the area is calculated as;
A = (2x – 1) * (x + 5).
A = 2x²+10x-x-5
A = 2x²+9x-5
Hence the area of the rectangle with the adjacent sides is 2x²+9x-5
choose the pair of sets which is equivalent
Answer:
set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}
Step-by-step explanation:
To be equivalent, the sets should have the same cardinality.Find the y-intercept of the quadratic function: g(x) = 5х2 + 9x + 4 о (0, 18) (4.0) ООО (0.4) (0,5)
Answer:
(0,4)
Step-by-step explanation:
Here, we want to find the y-intercept of the quadratic function
g(x) = 5x^2 + 9x + 4
Mathematically, we know that the y-intercept is the position on the graph where we have x = 0
so, to find the y-intercept value, we have to find g(0)
simply put, we have to substitute the value of 0 for x
Mathematically, we have this as;
g(0) = 5(0)^2 + 9(0) + 4
g(0) = 0 + 0 + 4
g(0) = 4
thus, we have the y-intercept point as (0,4)
Will give brainliest to whoever answers right first
Answer:
0.5x+20=0.25x+30, m=40
Step-by-step explanation:
Blue: y=0.5x+20
Red: y=0.25+30
We’re looking for where the y (cost) is equal, so we can set the two equations to each other:
Isolate x:
0.5x+20=0.25x+30
0.5x+20-20=0.25x+30-20
0.5x=0.25x+10
0.5x-0.25x=0.25x+10-0.25x
0.25x=10
x=40
m= 40
monkeys at the zoo eat 4 cups of food every day .elephants eat 76 times as much what is the equation?
Answer:
304 cups daily
Step-by-step explanation:
4 cups of food (monkeys) multiplied by 76 (amount elephants eats more)
4 x 76
Pls answer this needs to be turned in at 3:00 pm today
can you slve fasssst pls
Step-by-step explanation:
the value of x is 18 degree and the value of Y is 15 degree
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of
I NEED HELP PLEASE UHHH PLEASE I NEED HELP UUUUHHHHHHH
Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.
Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.
Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.
Answer:
Sulio needs 28 feet of fencing.
Step-by-step explanation:
P = 2l + 2w
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Answer:
The answer is
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Step-by-step explanation:
this is your answer
If mABC=125 and mABD=94 then m DBC, somebody help!
Answer:
31 degrees
Step-by-step explanation:
Subtract 94 from 125 to get the measure of angle DBC.
Find the value of angle y
Answer:
116
Step-by-step explanation:
116 is parallel to y so that are the same its called corresponding angles
When a transversal cuts two parallel lines, the corresponding angles are equal.
In the given figure, the corresponding angles are 116° and y
So, they are equal
⇒ y = 116°
Help please! Someone!
Answer:
8
Step-by-step explanation:
Since AB is tangent to the circle, ABC is a 90 degree angle. Using either knowledge about special triangles (3-4-5) or the Pythagorean theorem, BC will equal 8.
Hope this helped.
A plant 3 inches tall grows an average of 0.5 inches each month. Which equation models the heigh h after x months
Answer:H = 3 + 0.5x
Step-by-step explanation:
This would be H = 3 + 0.5x
help me please i need help on this
Answer:
CE = 20
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6}{8}[/tex] = [tex]\frac{15}{CE}[/tex] ( cross- multiply )
6 CE = 120 ( divide both sides by 6 )
CE = 20
Find the greatest common factor of 28a^3 , 12a^4 and 26a^5
Answer:
2a³
Step-by-step explanation:
2a³ can divide all these without living a remainder
what are the factors of x^2 + 11x + 24
Hope this help!!!
Have a nice day!!!
2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?
Answer:
English
Step-by-step explanation:
can you speak English plzzz
we need that
Answer:
i dont speak taco ask again in english
Step-by-step explanation:
Again answer this for real
Answer: 20/300 = 1/15
Hope this helps...
Have a great day.
f(x)=-3x^2-20
find f(-9)
Answer: go to symbolab i swear it will help if not apologies
Step-by-step explanation:
Lara planted some seeds. For every 3 seeds Lara planted, only 2 seeds grew. Altogether, 12 seeds grew. How many seeds did Lara plant?
MARKING BRAINLIEST HELP PLS
Answer:
R(x) = 3.5x
Step-by-step explanation:
In economics, formula for total revenue is;
Total revenue = quantity sold × price.
In this question;
Let he quantity of drinks sold be x
We are told that the selling price is $3.50 per drinks
Since quantity is "x", then total revenue can be said to be R(x)
Thus;
Total revenue; R(x) = x × 3.50
R(x) = 3.5x
Which is equivalent to7^(3/2) over 7^(1/2)?
A. 7^(1/3)
B. 7^(3/4)
C. 7^1
D. 7^2
E. 7^3
Given the expression below:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]
Use the following property:
[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]
Therefore:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]
Note that a¹ = a. Therefore, 7¹ = 7.
Answer
7¹ or 7.