The best description of the figure with the vertices given is, C. Quadrilateral
How to find the figure ?The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.
The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.
To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.
The length of (1, -4), and (-2, 1) is:
= 5.83 units
The length of (-2, 1), and (3, 4) is:
= 5.83 units
The length of (5, 2) and (3, 4) is:
= 2.82 units
The length of (5, 2) and (1, -4 ) is:
= 7.21 units
The shape is neither a square nor a rectangle so it is a quadrilateral.
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Find the value of xif V√81 = 3.
OA) 4
OB) 2
OC) 8
OD) 27
The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.
What is exponent?
Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.
Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.
The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.
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Select the three statements that correctly describe the coordinate system.
Answer:
I think no 3
if wrong correct me please
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Which equation below is using the correct set up to solve for x?
Answer:
A is your answer
Step-by-step explanation:
Answer:
8²+16²=x²
Step-by-step explanation:
because h²=base²+perpendicular ²
Gina is cleaning the tile floor in her kitchen. It takes her 20 minutes to clean 50 tiles.
How many tiles can she clean in 1 minute?
Answer:
2.5
Step-by-step explanation:
just divide 50 by 20
Abc and def are complementary angles what is the measure of x?
Complementary angles add to 90 degrees. This means that 65 + x = 90, so x = 90 - 65 = 25.
Please help! Due today! :(
The answer is 1.57! I hope this helps you!
cos(-0)=3, sin 0 <0
What is the value of sin ?
2√3/ 3
√6/3
-2 √3/3
-√6/3
On solving the provided question we can say that - here in trigonometry [tex]sinx(2cosx - 1) = 0\\[/tex] => sinx = 0 and 2 cosx -1 =0
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
[tex]sin 2x - sinx = 0\\-sinx + 2cosx sinx=0\\sinx(2cosx - 1) = 0\\[/tex]
sinx = 0 and 2 cosx -1 =0
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What is the multiplicative inverse of 3?
A) -3. B) -1/3. C) 1/3 D) 3
Answer:
C) 1/3
Step-by-step explanation:
When a number is multiplied by its multiplicative inverse, it should be equal to 13 = 3/1
3/1 x 1/3 = 3/3 = 1
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)
How to determine the correct representationsFrom the question, we have the following expression that can be used in our computation:
–3(2x – 5) < 5(2 – x)
Divide bot sides of the inequality by -1
So, we have the following representation
3(2x – 5) > -5(2 – x)
Next, we open the brackets
This gives
6x – 15 > -10 + 5x
Hence, the representation is 6x – 15 > -10 + 5x
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Complete question
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
(a) 6x – 15 > -10 + 5x
(b) 6x – 15 < -10 + 5x
(c) 3(2x – 5) > -5(2 – x)
(d) 3(2x – 5) < -5(2 – x)
What is the measure of xº?
A. 10°
B. 16°
C. 34°
D. 70°
ILL BRAINLIEST YOU PLEASE HELP ME
9514 1404 393
Answer:
x ≈ 4.2
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(72°) = b/x = 13/x
x = 13/tan(72°) ≈ 4.223956
Rounded to the nearest tenth, x ≈ 4.2.
Please hurry it's timed i need help
The solution of the given function cosx - √(3 - 3cos³x) = 0 is C. 30° + 360° n, 330° + 360°n
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are given the function as;
cosx - √(3 - 3cos³x) = 0
cosx = √(3 - 3cos³x)
Taking square root on both sides.
cos ²x = √(3 - 3cos³x) ²
cos ²x = (3 - 3cos³x)
For solving for x in
cos ²x = (3 - 3cos³x)
cos ²x = 3 (1 - cos³x)
(1 - cos³x) = cos ²x/3
x= π/6 + 2πn
or
x=11π/6 + 2πn
where n is an integer.
30° + 360° n, 330° + 360°n
The correct answer is C.
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The cost of 1 cup is $10. IF the cups come in sets of 5 and I have $170, how many cups I buy?
Answer:
15
Step-by-step explanation:
5 X 10 = 50
170 / 50 = 3 sets = 15
What is 2/3 + 1/6 + 2/8
Answer:
2/3 + 1/6 + 2/8
=(2×8+1×4+2×3)/24
=(16+4+6)/24
=26/24
=13/12
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The number of views on a viral video can be modeled by the function
G(t) = 2500(5) 2-4. Write an equivalent function of the form G(t) = ab.
The equivalent expression would be; function G(t) = 86,400•3^t
What is a function in simple definition?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.
The number of views on a viral video can be modeled by the function
G(t) = 2500(5) 2-4.
we have to find out an equivalent function of the form G(t) = ab.
Here, we want to make a transformation
From what we have;
G(t) = 2500(5)^(t - 4)
From indices, we know that;
x^(a + b) = x^a•x^b
Thus, we have it that;
G(t) = 2500•3^t•3^2
G(t) = (9 * 9600) * 3^t
G(t) = 86,400•3^t
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From nose to tail your first dog is 5 feet long. Your first dog is the length of your second dog. How many feet long f is your second dog
According to fraction and ratio, second dog is 3/2 feet long.
In math, what is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
First dog is 5 feet long.
then,
5 feet is equal to 4/5 of the second dog's length.
multiply both sides by 5/4.
5/4 x 5 feet is the second dog's length.
The second dog is 25/4 feet long.
The second dog is 6(1/4) feet long.
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HELP ASAP PLEASE!!!!!!! NO LINKS!!!!!!!
Answer:
x=8
Step-by-step explanation:
Add up the angles to 90 because angle GHI and angle IHJ should add up to 90°
3x+66=90
-66=-66
Solve for x.
3x = 24
3 = 3
x =8
Hope this helps.
Find the Values of x and y
The values of x and y could be 25 and 113
What are parallel lines ?
parallel lines can be stated as , they both are equi distant from each other and which never intersect.
From the given figure,
y+12 = 3x + 50
as both are parallel to each other.
y-3x = 38
and 5x = y + 12
as vertically opposites are always equal .
y = 3x + 38
y = 5x - 12
hence,
5x - 12 = 3x +38
2x = 50
x = 25
put x = 25 in y = 3x + 38
y = 3 * 25 + 38
y = 113
hence the values of x and y are 25 and 113 respectively.
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What is the solution to the system of linear equations 3x minus 2y equals 14 5x plus y equals 32?
The solution to the system of linear equations is x = 10 and y = 22.
To solve this system of linear equations, we can use the substitution method.
First, we want to isolate one of the variables in either equation. Let's start with equation 1:
3x - 2y = 14
Add 2y to both sides to isolate x:
3x = 14 + 2y
Divide both sides by 3 to solve for x:
x = (14 + 2y) / 3
Now, substitute this expression for x into equation 2:
5x + y = 32
5(14 + 2y) / 3 + y = 32
Simplify:
70 + 10y + y = 32
Combine like terms:
11y = -38
Divide both sides by 11 to solve for y:
y = -38 / 11
y = -3.45454545...
Now, substitute -3.45454545... for y in the expression for x:
x = (14 + 2(-3.45454545...)) / 3
x = (14 - 6.9090909...) / 3
x = 7.09090909... / 3
x = 2.36363636...
x = 2.4 (rounded to nearest tenth)
Now that we have both x and y, the solution to the system of linear equations is x = 2.4 and y = -3.5.
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unit 8 right triangle and trigonometry homework 5 trigonometry: finding sides and angles solve for x round to the nearest tenth.
plllls I will make brainlesst
Answer:
5. x = 25.6
6. x = 11.0
7. x = 41.8°
8. x = 64.2°
9. x = 12.8°
10. x = 51.3°
Step-by-step explanation:
Let's find the x value for each triangle.
For point 5
We have:
x: is the opposite cathetus to 52°
20: is the adjacent cathetus to 52°
52°: is the angle
We can find "x" with the following trigonometric function:
[tex] tan(52) = \frac{x}{20} [/tex]
[tex] x = tan(52)*20 = 25.6 [/tex]
For point 6
We have:
x: is the hypotenuse
5: is the opposite cathetus to the given angle
27°: is the angle
To find "x" we need to use the trigonometric function:
[tex] sin(27) = \frac{5}{x} [/tex]
[tex]x = \frac{5}{sin(27)} = 11.0[/tex]
For point 7
We know:
x°: is the angle
6: is the hypotenuse
4: is the opposite cathetus to x°
Hence, x is:
[tex] sin(x) = \frac{4}{6} [/tex]
[tex] x = sin^{-1}(\frac{4}{6}) = 41.8 [/tex]
For point 8
We have:
x°: is the angle
14: is the adjacent cathetus to x°
29: is the opposite cathetus to x°
To calculate "x" we need to use the trigonometric function tan(x):
[tex] tan(x) = \frac{29}{14} [/tex]
[tex] x = tan^{-1}(\frac{29}{14}) = 64.2 [/tex]
For point 9
We have:
x°: is the angle
54: is the hypotenuse
12: is the opposite cathetus to x°
We can use sin(x) to solve for x:
[tex] sin(x) = \frac{12}{54} [/tex]
[tex] x = sin^{-1}(\frac{12}{54}) = 12.8 [/tex]
For point 10
We have:
x°: is the angle
40: is the hypotenuse
25: is the adjacent cathetus to x°
We need to use cos(x) to solve for x:
[tex] cos(x) = \frac{25}{40} [/tex]
[tex] x = cos^{-1}(\frac{25}{40}) = 51.3 [/tex]
I hope it helps you!
To solve the given questions, either of the trigonometric functions; sine, cosine and tangent of an angle has to be applied appropriately to either of the questions. The answers to the questions are:
5. x = 25.60
6. x = 11.00
7. x = [tex]41.8^{o}[/tex]
8. x = [tex]64.2^{o}[/tex]
9. x = [tex]12.8^{o}[/tex]
10. x = [tex]51.3^{o}[/tex]
The questions given are right angled triangles which requires the application of trigonometric functions appropriately. A right angle triangle is one that has one of its angles to be [tex]90^{o}[/tex].
So, each of the questions can be solved as follows:
5. Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 52 = [tex]\frac{x}{20}[/tex]
⇒ x = Tan 52 * 20
= 25.5988
x = 25.60
6. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin 27 = [tex]\frac{5}{x}[/tex]
⇒ x = [tex]\frac{5}{Sin 27}[/tex]
= 11.0134
x = 11.00
7. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{4}{6}[/tex]
= 0.66667
x = [tex]Sin^{-1}[/tex] 0.66667
= [tex]41.8^{o}[/tex]
x = [tex]41.8^{o}[/tex]
8. Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan x = [tex]\frac{29}{14}[/tex]
= 2.0714
x = [tex]Tan^{-1}[/tex] 2.0714
= [tex]64.2^{o}[/tex]
x = [tex]64.2^{o}[/tex]
9. Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin x = [tex]\frac{12}{54}[/tex]
= 0.22222
x = [tex]Sin^{-1}[/tex] 0.22222
= [tex]12.8^{o}[/tex]
x = [tex]12.8^{o}[/tex]
10. Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos x = [tex]\frac{25}{40}[/tex]
= 0.625
x = [tex]Cos^{-1}[/tex] 0.625
= [tex]51.3^{o}[/tex]
x = [tex]51.3^{o}[/tex]
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( links = report )
Answer: 3150
Step-by-step explanation:
V = lwh
V = 25 x 7 x 18
V = 3150
Need help with this lesson is Graphing Polynomials
Answer:
Step-by-step explanation:
y = [tex]\sqrt{x+4}[/tex] + 5
what value of x would prove that the following triangle is a right angle? Answers x=7 x=2 x= 14 x= 10
Step-by-step explanation:
Pythagoras' TheoremFor Pythagoras' Theorem to be valid, the triangle must be a right-angled one.
The formula is:
c^2 = a^2 + b^2
Where c is the longest side. While a,b are the side lengths.
SolutionUsing the above formula and the measurements given in the question, we can find the value of x.
By Pythagoras' Theorem,
26^2 = (5x)^2 + (12x)^2
676 = 25x^2 + 144x^2
169x^2 = 676
x^2 = 676 ÷ 169
x^2 = 4
x = 2
Find the value of x.
Answer:
4
Step-by-step explanation:
Select the correct answer. Solve the quadratic equation by factoring.
9x -16 = 0
Answer:
x = 16/9
Step-by-step explanation:
9x -16 = 0
9x = 16
x = 16/9
Let's check
9(16/9) -16 = 0
144/9 - 16 = 0
16 - 16 = 0
0 = 0
So, x = 16/9 is correct!
Answer:
Step-by-step explanation:
9x = 16
x = 16/9
What would a 44% decrease of 13 be?
I ned help i do not understand
Answer:
x=78
Step-by-step explanation:
x+x+24=180
2x+24=180
2x=156
x=78
a taxi charges $2.35 fee plus $0.55 per mile. melissa has no more than $15 to spend on her taxi ride how many miles can she go?
Answer:
2.35 + 0.55 × 15 = 10.6
Therefore, she can go 10.6 miles.
Answer:
10.6
Step-by-step explanation:
2.35 + 0.55 x 15 = 10.6
Can somebody teach my how to find the length of the third side of a triangle?
Answer:
Step-by-step explanation:
formula 0.5 x base x height
Answer:
Remember the formula a^2+b^2=c^2
Step-by-step explanation:
This can be used on right triangles. Now your a and b represent the legs of a triangle and the c represents the hypotenuse(the longest side). If you had a leg that was 2 inches and a second leg that was 4 inches you would plug it into the equation so...
2^2+4^2=c^2
Now evaluate
2^2=4
4^4=16
so
4+16=c
20=c
Now take the square root of 20 which is approximately 4.47 or leave it as square root of 20
If you had one leg and a hypotenuse then plug in and solve like any other equation.
Hope this helps!
A wall has a tiled mosaic consisting of 25 triangular tiles. Each tile has a base of 6 cm and a height of 8 cm. Find the area of the mosaic.
Answer:
1200
Step-by-step explanation: