Answer:
cos theta = -1/ 2
Step-by-step explanation:
sin theta = -sqrt(3)/2
Drawing a triangle
We know sin theta = opp/hyp
We can determine the adj side using the Pythagorean theorem
a^2 + b^2 = c^2
adj^2 + (-sqrt(3))^2 = 2^2
adj^2 +3 = 4
adj^2 = 4-3
adj ^2 =1
Taking the square root of each side
adj = 1
We know that since it is in the third quadrant the adj side is negative
adj = -1
cos theta = adj / hyp
cos theta = -1/ 2
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]
equating corresponding value
opposite=-[tex]\sqrt{3}[/tex]
hypoyenuse=2
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
2²=-[tex]\sqrt{3²}[/tex]+x²
4=3+x²
x²=4-3
x=[tex]\sqrt{1}=1[/tex]
x=-1
In third quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]Enter the coordinates of the point
on the unit circle at the given angle. 0°
The points are ( 1,0) (0,1) .
The coordinates of the point on the unit circle -The coordinates for the points lying on the unit circle and also on the axes are (1,0), (–1,0), (0,1), and (0,–1). These four points (called intercepts) are shown here. When you square each coordinate and add those values together, you get 1. They're the sine and cosine values of the most common acute-angle measures.a.) We seek the coordinates on the unit circle that represent an angle of 0 degrees.
The points on the unit circle are often provided by,
( cosθ, sinθ )
In order to do so,
θ= 0
to acquire,
(cos(0),sin(0))
(1,0)
b. With regard to the location on the unit circle where the angle is 90 degrees,
We swap out
θ = 90
to acquire,
(cos(90),sin(90))
This is condensed to, (0,1)
Learn more about the coordinates of the point on the unit circle brainly.com/question/10169163
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Answer: 1,0
is the actual answer
A total of 585 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
325
Step-by-step explanation:
Total Tickets = 585
Let the adult tickets be = x
If 65 fewer student tickets were sold than adult tickets then Student tickets = x-65
Student Tickets + Adult Tickets = 585
x + (x-65) = 585
x + x - 65 = 585
2x - 65 = 585
2x = 585 + 65
2x = 650
2x/2 = 650/2
x = 325
Answered by Gauthmath
Căn 84 bình phương trừ 37 bình phương chia 47
Answer:
[tex]\sqrt{84^{2} } -37^{2} /47[/tex]=257 9/47
Step-by-step explanation:
the function f(x) = -5x^2 +3 is defined over the domain -4< x < -1. find the range of this function.
a. 8 < f(x) < 83
b. 8 ≤ f(x) ≤ 83
c. -77 < f(x) < -2
d. 8 < f(x) < 23
Answer:
[tex]choice \: c. \: - 77 < f(x) < - 2[/tex]
Step-by-step explanation:
Find the y-values of the functions endpoints.[tex]f( - 4) = - 5 ({ - 4}^{2}) + 3 = - 77[/tex]
[tex]f( - 1) = - 5( { - 1}^{2}) + 3 = - 2[/tex]
Thus finding the range of F(x).
The range of the given function is - 77 < f(x) < - 2.
What is the range of a function?"The range of a function is a set of all the images of elements in the domain."
The given function is:
f(x) = - 5x² + 3
It is defined over the domain - 4 < x < - 1.
For x = - 4, f(x) = - 5(- 4)² + 3 = - 80 + 3 = - 77
For x = - 1, f(x) = - 5(- 1)² + 3 = - 5 + 3 = - 2
Therefore, the range of the given function f(x) is:
- 77 < f(x) < - 2.
Learn more about the range of a function here: https://brainly.com/question/8841915
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Help,anyone can help me do quetion,I will mark brainlest.
5.
1m = 0.001 km
So, 1m² = 10^-6
Area = 5027 m² = 5027 × 10 ^-6 km²
6.
1mm = 0.1 cm
1mm² = 10^-2
Area = 210× 297 mm² =62370 mm² = 62370 ×10^-2 cm²
SOMEONE HELP ME PLEASE
9514 1404 393
Answer:
1/12
Step-by-step explanation:
The probability of any given outcome is the ratio of the number of ways that outcome can happen to the total number of outcomes.
P(4) = 1/6 . . . . . roll = 4 is one of 6 possible outcomes
P(odd) = 3/6 = 1/2 . . . . . of the 6 possible outcomes, 3 are odd
__
The two rolls of the die are presumed to be independent, so the probability of the two outcomes is the product of their individual probabilities.
P(4 & odd) = (1/6)(1/2) = 1/12
In a car dealership, all of the vehicles are either
a sedan or a SUV. If 36 sedans are sold and 36
SUVs are added, there will be an equal number
of sedans and SUVs. If 8 SUVs are sold and 8
sedans are added, there will be twice as many
sedans as SUVs. How many sedans were at the
dealership before any vehicle was sold?
Answer:
The number of sedans before any vehicle was sold is 168
Step-by-step explanation:
Let's define the variables:
x = number of sedans
y = number of SUVs
We know that:
"If 36 sedans are sold and 36 SUVs are added, there will be an equal number of sedans and SUVs"
If 36 sedans are sold, the new number of sedans is:
x - 36
if 36 SUVs are added, the new number of SUVs is
y + 36
And these numbers are equal, then:
x - 36 = y + 36
We also know that:
" If 8 SUVs are sold and 8 sedans are added, there will be twice as many
sedans as SUVs. "
If 8 SUVs are sold, the new number of SUVs will be:
y - 8
If 8 sedans are added, the new number of sedans wil be:
x + 8
From this we can write the equation:
(x + 8) = 2*(y - 8)
x + 8 = 2*y - 16
Then we have two equations:
x - 36 = y + 36
x + 8 = 2*y - 16
We want to find the number of sedans, x, then we need to isolate the other variable in one of the equations, let's isolate y in the first one:
Let's isolate x in the first one:
x - 36 - 36 = y
x - 72 = y
Now we can replace it in the other equation:
x + 8 = 2*y - 16
x + 8 = 2*(x - 72) - 16
Now we can solve this for x.
x + 8 = 2*x - 144 - 16
8 + 144 + 16 = 2x - x
168 = x
The number of sedans before any vehicle was sold is 168
20 POINTS AND BRAIN LIESTJ ulia s urveyed the pl ayers on her so ccer team to see how many hou rs each mem ber prac ticed during the week. Her data is shown in the histo gram.
A histogram titled Prac tice Time has number of hours on the x -axis and number of players on the y-axis. 0.1 to 0.5 hours is 5 players, 0.6 to 1: 6, 1.1 to 1.5: 5, 1.6 to 2: 2, 2.1 to 2.5: 1, 2.6 to 3: 2, 3.1 to 3.5: 2, 3.6 to 4: 1, 4.1 to 4.5: 1.
Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.
Answer:
the left side of the histogram is the mirror image of the right side.
Find the volume of this sphere.
I need help I don’t understand.
Answer:
2048
Step-by-step explanation:
Formula for volume of a sphere is given:
V = 4/3πr^3
Where r = radius
The sphere shown has a given radius of 8
All we have to do to find the volume of the sphere is simply plug in the given value of the radius (8) into the volume of a sphere formula
(Note it says use 3 for π )
V = 4/3(3)r^3
Substitute 8 for r
V = 4/3(3)(8)^3
Plug this into a calculator and you get that the volume is 2048
Answer:
2,048in³
Step-by-step explanation:
The formula to find the volume of the sphere is already given to you in the problem. All we need to do is substitute and solve.
V = 4/3π(8)³
V = 4/3π(512)
V ≈ 682.67(3)
V ≈ 2,048
Best of Luck!
please help me 57=8n-7
Answer:
n=8
Step-by-step explanation:
57=8n-7
add 7 on both sides
64=8n
divide 8
n=8
Answer:
8
Step-by-step explanation:
57=8n-7
add 7 to both sides
64=8n
divide by 8 on both sides
n=8
What is the correct answer to this multiple choice question? Please help!
Answer:
19.3
Step-by-step explanation:
The base of the top triangle is 24.158 (approximately) found from the bottom triangle using the sine rule
from that,
sin(53) = r/24.158
or, r = 24.158×sin(53)
or, r = 19.3 (rounded to the nearest tenth)
Use the distributive property to write equivalent expressions.
Someone please help, ty!
Answer:
For the question below, you will need to find the GCF of 45 and 60. In this instance it is 5, so it will be outside the box. The GCF answers will be inside the parenthesis, which is 7 and 12.
45x + 60 = 5(7x + 12)
In this question you have to multiply 2 with every number inside the parenthesis. So 2 × 10x and 2 × 4.
2(10x+4) = 20x + 8
Hope this helped.
PLEASE HELPPPPPP WILL GIVE BRANLIST
Answer:
x = 1
Step-by-step explanation:
2(76x - 1) = 150
76x - 1 = 75
76x = 76
x = 1
What is the area, in square feet, of the trapezoid below?
Answer:
A = 93.31 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6.2, b₁ = 7.8, b₂ = 14.7 + 7.6 = 22.3 , then
A = [tex]\frac{1}{2}[/tex] × 6.2 × (7.8 + 22.3) = 3.1 × 30.1 = 93.31 ft²
I DONT UNDERSTAND THIS PLEASE
Answer:
D. undefined
General Formulas and Concepts:
Algebra I
SlopeGraphingStep-by-step explanation:
A horizontal line has a slope of 0.
A vertical line has a undefined slope.
Any other line will have a slope of some number.
Answer:
D
Step-by-step explanation:
The slope of a line represents the number of units a line rises or falls vertically for each unit of horizontal change from left to right.
1) A line with positive slope (m > 0) rises from left to right.
2) A line with negative slope (m < 0) falls from left to right.
3) A line with zero slope is horizontal (parallel to x-axis).
4) A line with undefined slope is vertical (parallel to y-axis).
Ans: The line is parallel to y-axis. So, the slope is undefined
1/x^-2 x=7 yeet yeet
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer: 49
Step-by-step explanation: yeet
how coming -17/18 please explain
find the value of x.
2+3
12
5
1.2
6.6
07
12
Answer:
x = 7
Step-by-step explanation:
The triangles are similar
12/8 = (x+3+5)/(x+3) cross multiply expressions
12x + 36 = 8x + 64
12x - 8x = 64 - 36
4x = 28 divide both sides by 4
x = 7
On a number line, graph a number that is twice as from from 5 as it is from 8. How many numbers are there?
Answer:
On a number line, graph a number that is twice as far from 5 as it is from 8.
Step-by-step explanation:
11 is twice as far from 5 as it is from 8
In a co-educational school, 47 of the students are girls. If there are 324 boys, find the number of girls in the school.
Answer:
The total number of girls is 47.
Step-by-step explanation:
Below are the following values:
Total number of students = girls + boys
Total number of students = 47 + 324
Total number of students = 371
We are required to find the number of girls in the school.
Since a total number of boys is 324 and thus total number of girls is 47.
Answer??? if you want u can answer as u like....
60, because 6 times 10 is just that
Answer:
60
Step-by-step explanation:
6x10 is 60
What are the domain and range of this function? y= (x+3)² - 5
A. Domain: [-5, ∞)
Range: [-∞,∞)
B. Domain: (-∞.∞)
Range: (-∞,∞)
C. Domain:(-∞,∞)
Range:[-5,∞)
D. Domain: (-5,∞)
Range: (-5,∞)
Hello!
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
- Separate the function into parts to determine the domain of each part.
[tex]\bf ( x + 3 )^{2} \\ x + 3 \\ 5 [/tex]
- The domain of a polynomial function is the set of all real numbers.
[tex]\bf x ∈ ℝ [/tex]
Domain: ( -∞; ∞ )
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
- Write the second degree function in standard form.
[tex]\bf y = x^{2} + 6x + 4 [/tex]
- Identifies the coefficients a and b of the second degree function.
[tex]\bf a = 1, b = 6 [/tex]
- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.
[tex]\bf x = -\frac{6}{2×1} [/tex]
[tex]\bf x = -\frac{6}{2} [/tex]
[tex]\bf x = -3 [/tex]
- Calculates the value of the function for x = -3.
[tex]\bf y = ( x + 3 )^{2} - 5 [/tex]
[tex]\bf y = -5 [/tex]
Range: ( -3; -5 )
Answer: No answer
Good luck! :)
What is the distance between (4, -10) and (4,-4)?
Answer:
For x there is no distance since they are both for. For y, they are -6 apart.
Step-by-step explanation:
Answer:
Fox x Diya is no distance since they are both for they are six apart
Step-by-step explanation:
(4-10)
and= just opposite size (10- 4) .
10 -4 = 6 answer 6
and (4-4)
answer is
0
the answer is six apart
understand
It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.
pls help me,i'll mark u as the brainliest!
Answer:
Hello,
k=-3 and h=-2
Step-by-step explanation:
[tex]5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\[/tex]
h+1 is thus a root of x²+(-3-1)*x-5=0
x²-4x-5=0
x²+x-5x-5=0
x(x+1)-5(x+1)=0
(x+1)(x-5)=0
h+1=-1
h=-2
WORTH 90 POINTS WILL MARK BRAINLY PLEASE HELP ME ASAP
Answer:
they are congruent.
Step-by-step explanation:
just move A down to -1 and and you can see they are the same.
Answer:
they are congruent.
Step-by-step explanation:
just move the A shape down to -1 and and you can see that they are the same.
Can you answer this math homework? Please!
Answer:
10 T Shirts to have 105 dollars
Step-by-step explanation:
[tex]10.5x = 7.5x + 30[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
d^2=41 as a verbal expression
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{d^2 = 41}}[/tex]
[tex]\huge\boxed{\text{TAKE the SQUARE ROOT}}[/tex]
[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}}}[/tex]
[tex]\huge\boxed{\textsf{SIMPLIFY it}}[/tex]
[tex]\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}[/tex][tex]\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge{\boxed{\frak{Amphitrite1040:)}}}[/tex]
Please help me solve this someone I’m really struggling
Step-by-step explanation:
y= x^2+5x-7
the vertex is -2.5 , -13.25
solutions ( -6.14 , 0) and (1.14 , 0 )
..........
y= -x^2+3x+8
vertex(1.5 ,10.25)
solutions ( -1.7 , 0) and (4.7 ,0 )
Find cos x if sin x cotx = 0.5
Answer: 0.5
Step-by-step explanation:
[tex]cot(x)=\frac{1}{tan(x)} =\frac{1}{\frac{sin(x)}{cos(x)} } =\frac{cos(x)}{sin(x)}\\\\sin(x)cot(x)=sin(x)*\frac{cos(x)}{sin(x)} =cos(x)\\\\cos(x)=sin(x)cot(x)=0.5[/tex]
Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ...
Answer:
Given the proposed interrogate, the answer(s) to the following are identified as “-8, -6, -4, -2…” and “2, 4, 8, 16”.
Step-by-step explanation:
Accountable Conditions: Although the question implies there is only one individual mathematical statement which fits the conditions stated in the interrogate, both sequences listed above fit such, thus are both correct.
To evaluate for such, a comprehension of an “Arithmetic Sequence” is obligated:
In arithmetic sequences, the presence of a consecutive deviation or fixed pattern must be consistent and present throughout each and individual number or value contained within the particular set.
For Example: 3, 5, 7, 9, 11, 13, …
The deviation, or the number required to produce the subsequent value is identified as +2.
Now, apply such definitions to the peculiar problem:
A. 1, -3, 9, -27,… has -4, +12, -36, hence is not consistent. Thus, A cannot be correct.
B. -2, 4, -6, 8,… has +6, -10, +14, hence does not obtain a persistent consecutive pattern.
C. -8, -6, -4, -2… has +2, +2, +2, hence is consistent. Thus, C is correct.
D. 2, 4, 8, 16,… has +2, +2, +2, hence is consistent. Thus, D is correct.
