Answer:
4
Step-by-step explanation:
y=3x-2
y=3(2)-2
y=6-2
y=4
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units
Answer:
[tex]P = 4\sqrt{13}[/tex]
Step-by-step explanation:
Given
[tex]W = (7, 2)[/tex]
[tex]X = (5, -1)[/tex]
[tex]Y = (3, 2)[/tex]
[tex]Z =(5, 5)[/tex]
Required
The perimeter
To do this, we first calculate the side lengths using distance formula
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
So, we have:
[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]
[tex]WX = \sqrt{13}[/tex]
[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]
[tex]XY = \sqrt{13}[/tex]
[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]
[tex]YZ = \sqrt{13}[/tex]
[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]
[tex]ZW = \sqrt{13}[/tex]
The perimeter is:
[tex]P = WX + XY + YZ + ZW[/tex]
[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]
[tex]P = 4\sqrt{13}[/tex]
Answer:
C on edge 2021
Step-by-step explanation:
I took the cumulative exam
QUESTION 4
f(x)=4x-10/x-2
4.1 Determine the x- and y-intercepts of
4.2 +9. Write f (x) in the form: f(x) = x - 2 4.3 Draw the graph of y, clearly show the intercepts with the axes and the asymptotes.
4.4 Give the equations of the asymptotes of f(x) + 3.
Answer:
4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw
A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .
Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
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Help me with this question i forgot how to do these
Answer:
44m
Step-by-step explanation:
add all 4 sides of the rectangle then multiply by 2 since each square is 2m.
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
14
16
18
20
Answer:
18
Step-by-step explanation:
Let
S = sum of the measures of the interior angles of a polygon
n = number of sides of a polygon
The equation is
S = (n - 2) * 180°
Where,
S = 2,880°
S = (n - 2) * 180°
2,880° = (n - 2) * 180°
2,880° = 180°n - 360°
2,880° + 360° = 180°n
3,240° = 180°n
Divide both sides by 180°
n = 3,240° / 180°
n = 18
Good evening everyone, the correct answer is 18 sides.
A polygon with 18 sides' interior angles will add up to 2880 degrees.
Have a blessed night.
Draw the following regular polygons inscribed in a circle:
square
pentagon
hexagon
octagon
decagon
For each polygon, include the following information in the paragraph box below:
What was the central angle you used to locate the vertices? Show your calculation.
What is the measure of each interior angle of the polygon? Show your calculation.
Answer the questions below.
What is the relationship between the central angle and the interior angle?
As the number of sides increases, how do the angles change?
Answer:
Step-by-step explanation:
Firstly we draw the circle marking its center point.
Then we choose an arbitrary point anywhere on the circumference of the circle.
Then we draw a line connecting the point and the center of the circle.
Now, we mark the next vertex of polygon on the circumference of the circle by measuring an angle with respect to the first line drawn from the center of the circle.
The measurement of the angle is based upon no. of vertices (=no. of side) of the polygon. We divide the full round angle 360° with the no. of vertices and obtain the angle between the each consecutive vertices from the center of the circle since the polygons are regular.
Polygons with the no. of vertices is as follows:
square -- 4
pentagon -- 5
hexagon -- 6
octagon -- 8
decagon -- 10
For decagon the central angle between each consecutive vertex:
[tex]\angle_{10}=\frac{360}{10}[/tex]
[tex]\angle_{10}=36^o[/tex]
For octagon the central angle between each consecutive vertex:
[tex]\angle_{8}=\frac{360}{8}[/tex]
[tex]\angle_{8}=45^o[/tex]
For hexagon the central angle between each consecutive vertex:
[tex]\angle_{6}=\frac{360}{6}[/tex]
[tex]\angle_{6}=60^o[/tex]
For pentagon the central angle between each consecutive vertex:
[tex]\angle_{5}=\frac{360}{5}[/tex]
[tex]\angle_{5}=72^o[/tex]
For square the central angle between each consecutive vertex:
[tex]\angle_{4}=\frac{360}{4}[/tex]
[tex]\angle_{4}=90^o[/tex]
The internal angle of a regular polygon is calculated as:
[tex]\angle=180-\frac{360}{n}[/tex] where, n = number of sides (=vertices)
for example, in case of hexagon interior angle is:
[tex]\angle=180-\frac{360}{6}[/tex]
[tex]\angle=180-60[/tex]
[tex]\angle=60^o[/tex]
As the no. of sides increase the interior angles widen up and their values increase, which the central angle between the consecutive vertices decrease.
Answer:
The other person is definitely getting Brainlest thank you so much for your answer. YOU ARE A LIFE SAVER. :D XD.
Please give him/her Branliest ;D
Input value for the function machine that gives an output value of 3.
Answer:
x = –1
Step-by-step explanation:
From the question given above, the following data were obtained:
y = √(–2x + 7)
y = 3
x =?
The value of x can be obtained as follow:
y = √(–2x + 7)
3 = √(–2x + 7)
Take the square of both side
3² = –2x + 7
9 = –2x + 7
Collect like terms
9 – 7 = –2x
2 = –2x
Divide both side by –2
x = 2 / –2
x = –1
For a school show, Garima wants to arrange 42 flower pots in such a way that each column has an equal number of pots. Which of these could be the number of flower pots in a column?
Answer: She can either arrange them in 7 columns or 6 columns.
Step-by-step explanation:
We are given:
Total number of pots = 42
In order to arrange the pots in the same number of columns so that each column has an equal number of pots, we will find out the factors of 42.
42 = 6 × 7
42 = 1 × 42
Garima can arrange 6 pots in 7 columns or 7 pots in 6 columns so as to have equal number of pots.
Hence, she can either arrange them in 7 columns or 6 columns.
what is the x-coordinate of the red point
Answer:
The answer:
The choose (C) –3
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
Perimeter of a Garden
Answer:
Step 1: W = 7 - L
Step 2: Widths = 4, 3, 2, 1
Step-by-step explanation:
step1:
14 = 2L + 2W
14 - 2L = 2W
W = 7 - L
step2:
W = 7 - L
W = 7 - 3 = 4
W = 7 - 4 = 3
W = 7 - 5 = 2
W = 7 - 6 = 1
What is the common difference between successive terms in the sequence 0.36, 0.26,0.16,0.06,-0.04,-0.14
Answer:
- 0.1
Step-by-step explanation:
find the distance between the points (-3,-2) and (1,-5)
What is
4
7
as a decimal rounded to 3 decimal places?
Answer:
4/7 as a decimal is 0.57142857142857.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in. Find p99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%. The hip breadth for men that separates the smallest 99% from the largest 1% is p99= how many inches
Answer:
p99 = 16.4 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Men have hip breadths that are normally distributed with a mean of 14.3 in. And a standard deviation of 0.9 in.
This means that [tex]\mu = 14.3, \sigma = 0.9[/tex]
Find p99.
This is the value of X when Z has a p-value of 0.99, so X when Z = 2.327. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.3}{0.9}[/tex]
[tex]X - 14.3 = 0.9*2.327[/tex]
[tex]X = 16.4[/tex]
So
p99 = 16.4 inches
What is the center of the circle: .22 + y2 = 4
___ +(-9)=-12 need help please
Answer:
_-3__ + (-9) = -12
Step-by-step explanation:
___ + (-9) = -12
-9 is being added to the blank. You want the blank alone (isolated) on the left side. The opposite operation to adding a -9 is to add a positive 9.
You must do the same operation to both sides of an equation.
Add 9 to both sides.
___ + (-9) + 9 = -12 + 9
___ + 0 = -3
___ = -3
Answer: -3
Answer:
-3
Step-by-step explanation:
Hi there!
___ + (-9) = -12
Adding a negative number is the same as subtracting
___ - 9 = -12
To isolate the blank, we can add 9 to both sides of the equal sign so there won't be a -9 on the left side
___ - 9 + 9 = -12 + 9
___ = -12 + 9
___ = -3
Therefore, the number is -3.
I hope this helps!
What function is graphed below?
Answer:
[tex]y\ =\ \ \tan\theta\ +2[/tex]
Step-by-step explanation:
Find the HCF of:
3x and 6x.
Answer:
3x
Step-by-step explanation:
We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,
[tex]\implies Numbers = 3x \ and \ 6x [/tex]
Let's factorise the numbers , we get .
[tex]\implies 3x = 3 \times x [/tex]
[tex]\implies 6x = 3\times 2 \times x [/tex]
The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .
[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]
1+1+1+5+1+1+4+5+10+1LL pop
Answer:
The answer should be 30. I don’t know if those letters are apart of it but it’s 30.
the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
QUICK PLEASE
42% of £719.24 Give your answer rounded to 2 DP.
Answer:
719.24 is the correct answer
find the value of x,if the distance between p(5,2) and Q(x,-2)be 5 units.
Answer:
points srru
Step-by-step explanation:
Answer:
Step-by-step explanation:
PQ=√((x-5)²+(-2-2)²)=√((x-5)²+16)=5
squaring
(x-5)²+16=25
(x-5)²=25-16=9
x-5=±3
x=-3+5,3+5
or x=2,8
Prove: AAB
Step
Statement
Reason
Given
1
ABCD is a parallelogram
ABCD
Select a Reason!!
2
A
B
N
find the value of x and HI. H and J are the endpoints
Answer:
x = 6
HI = 29
Step-by-step explanation:
✔️HI = ½(AB) => Triangle Mid-segment Theorem
HI = 5x - 1
AB = 58
Plug in the values and solve for x
5x - 1 = ½(58)
5x - 1 = 29
Add 1 to both sides
5x - 1 + 1 = 29 + 1
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
✔️HI = 5x - 1
Plug in the value of x
HI = 5(6) - 1
HI = 30 - 1
HI = 29
Write using exponents. Rewrite the expression below in the same sequence.
Answer:
[tex]10^2a^2b[/tex]
Step-by-step explanation:
Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].
cual es el 75% de 160¿
What is 75% of 160¿
Answer:
120
Step-by-step explanation:
calculator
(05.02)
For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation? (5 points)
−x − 2y = −4
3x + y = 12
−2y − 4
2y − 4
2y + 4
−2y + 4
Answer:
4th option
Step-by-step explanation:
From
- x - 2y = - 4 ( add x to both sides )
- 2y = x - 4 ( add 4 to both sides )
- 2y + 4 = x , so
Substitute x = - 2y + 4 into the second equation
Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]
[tex]10x - 2 = 2[/tex]
[tex]10x = 2 + 2[/tex]
[tex]10x = 4[/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x = 0.4[/tex]
Jeremiah's method:
[tex]6x - 2 = - 4x + 2[/tex]
[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]
[tex] - 2 = - 10x + 2[/tex]
[tex] - 2 - 2 = - 10x[/tex]
[tex] - 4 = - 10x[/tex]
[tex] \frac{ - 4}{ - 10} = x[/tex]
[tex]0.4 = x[/tex]
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.
Question 1 of 10
Which function results after applying the sequence of transformations to
f(x) = x5?
• shift left 1 unit
• vertically compress by
3
• reflect over the y-axis
Answer: B) [tex]f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}[/tex]
Step-by-step explanation:
When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of
*shifting left 1 unit
*vertically compressed by 1/3
*reflect over the y-axis
So the answer is B
The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x⁵
On reflecting over the y axis , we get
f ( x ) = ( -x )⁵
On vertically compressing by a factor of ( 1/3 ) , we get
f ( x ) = ( 1/3 ) ( -x )⁵
And , shifting 1 unit to the left , we get
f ( x ) = ( 1/3 ) ( -x + 1 )⁵
Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
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