Two supplementary angles equal 180 degrees.
Let the first angle = x
The second angle is 30 degrees more so this would be x + 30
Now add the two angles together to equal 180:
X + x+ 30 = 100
Combine like terms:
2x + 30 = 180
Subtract 30 from both sides:
2x = 150
Divide both sides by 2:
X = 75
One angle = x = 75
The other angle is x + 30 = 75 + 30 = 105
The smaller angle is 75 degrees.
What are 2 examples of a solution?
The two examples of the solution are sugar water, and soda water.
The term solution is defined as a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
Here according to the definition of solution, here we know that Common examples of solutions are sugar in water and salt in water solutions, soda water, etc.
As we all know that the solutions have two components, one is solvent and the other is solute.
Here the components, that is the component that dissolves the other component is called the solvent where as the component(s) that is/are dissolved in the solvent is/are called solute(s).
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Can anyone help with the answer
The height of the tree to the nearest hundredth of metres is 2.03 metres.
How to find the height of a tree?Emily is 1.65 metres tall. At 3 pm she measure the length of a tree's shadow to be 28.15 metres . She stands 22.9 metres away from the tree, so that the tip of her shadow meet the tip of the tree shadow.
Therefore, the height of the tree to the nearest hundredth of metres can be calculated as follows:
using proportion,
let
x = height of the tree
Therefore,
1.65 / 22.9 = x / 28.15
cross multiply
28.15 × 1.65 = 22.9 × x
22.9x = 46.4475
divide both sides by 22.9
x = 46.4475 / 22.9
x = 2.02827510917
x = 2.03 metres
Therefore,
height of tree = 2.03 metres
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25 POINTS AND BRAINIEST BADGE
NO LINKS
NO PICTURE FOR QUESTION
A parallelogram has vertices at (-5, -1), (-2, -1), (-3, -4), and (-6, -4). What is the approximate perimeter of the parallelogram? Round your answers to the nearest hundredth.
A. 9.16
B. 12 units
C. 12.32 units
D. 14
Answer:
12.32 units
Step-by-step explanation:
Use the distance formula to find the lengths between two points:
[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
the distance between (-2, -1) and (-5,-1) is
[tex]\sqrt{(-2-(-5))^2+(-1-(-1))^2}[/tex]
=[tex]\sqrt{3^2+0^2}[/tex]
=[tex]\sqrt{9}[/tex]
=3
the distance between (-2, -1) and (-3, -4) is
[tex]\sqrt{(-2-(-3))^2+(-1-(-4))^2}[/tex]
=[tex]\sqrt{1^2+3^2}[/tex]
=[tex]\sqrt{10}[/tex]
≈3.16
the distance between (-6, -4) and (-3, -4) is
[tex]\sqrt{(-6-(-3))^2+(-4-(-4))^2}[/tex]
=[tex]\sqrt{(-3)^2+0^2}[/tex]
=[tex]\sqrt{9}[/tex]
=3
the distance between (-6, -4) and (-5, -1) is
[tex]\sqrt{(-6-(-5))^2+(-4-(-1)^2}[/tex]
=[tex]\sqrt{(-1)^2+3^2}[/tex]
=[tex]\sqrt{10}[/tex]
≈3.16
Now, add all the sides:
3+3.16+3+3.16=12.32 units
Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.
HELP ASAP!!! PICTURE TO LOOK OFF OF
Approximate the correlation of the data shown below
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -2 1 1 - 4 3 4 ; 2 = -1,4 -2 2 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P=___ D= 0 4 0 0 0 4 -1 0 0 O B. For Pa = ___ D = 0 -1 0 0 04 OC. O The matrix cannot be diagonalized.
The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.
To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.
The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.
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what does this mean please tell me the answer, Thanks!
9514 1404 393
Answer:
Any of ...
rotation 180° about the center of symmetryreflection across the horizontal and vertical lines through the center of symmetry, in either orderreflection across any horizontal line, translation to the left, and translation up or down to final position (depending on where the horizontal line is)Step-by-step explanation:
The question is asking you what combinations of rotation, reflection, translation, and dilation will make the W have the position, orientation, and size of the M.
The image (M) is the same size as the preimage (W), so no dilation is involved.
The up-down orientation of the image is opposite that of the preimage, so reflection across a horizontal line, or rotation 180° will be involved. Depending on the line of reflection or the center of rotation, translation to the final image position may be required.
The preimage is symmetrical about a vertical centerline, so translation left or right can also be accomplished by reflection about a suitable vertical line.
_____
If you have trouble visualizing this, it can help to cut the letter from a piece of paper and manipulate it to model rotation, reflection, or translation.
Plsssss help me in the photo
0.01 is not the way of expressing the relationship because it does not represent the correct ratio between 10 square and 100 square
What is ratio ?A ratio tells the relationship between two or more quantities by comparing their relative sizes.It is typically written as two or more numbers separated by a colon (:), such as 2:4, or expressed as a fraction, such as 2/4. The numbers in a ratio represent the relative amounts of the quantities being compared. A ratio can be used to compare any type of quantity, such as length, weight, or time.
A) 10 square is 1/10th of the area of 100 square. It can be represented as a fraction, where the numerator is the area of the smaller square (10) and the denominator is the area of the larger square (100). The fraction would be 1/10.
B) Another way of expressing the relationship is as a percentage, where the smaller area (10) is divided by the larger area (100), and the result is multiplied by 100 to get the percentage. So 10 square is 10% of 100 square.
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Please help!!! in need of help, will mark brainliest!
Answer:
minimum value : -1
Step-by-step explanation:
y= 2x^2- |0x+1|
y=2x^2-1
0x has no value they're just putting that in there to trip you up. Also you can view the graph on Desmos graphing calc online to see the minimum value of this function.
x is positive so parabola opens up: meaning minimum value
y-intercept is (0, - 1) so minimum value = -1
What is the length of PQ
Check the picture below.
[tex]\sin(30^o)=\cfrac{\stackrel{opposite}{PQ}}{\underset{hypotenuse}{4}}\implies 4\sin(30^o)=PQ\implies 4\left( \cfrac{1}{2} \right)=PQ\implies 2=PQ[/tex]
Is Y 0 a horizontal line?
As per the following graph, if y = 0,then it makes the horizontal line on graph.
The term graph in math is defined as the visual representation of data or equation.
Here we have given that the value of y = 0.
Here we know that the slope of a horizontal line is zero while the slope of a vertical line is undefined.
Here the following Slopes represent a line's ratio of vertical change to horizontal change.
Whereas horizontal and vertical lines remain constant and never increase or decrease, they're merely straight lines.
Here we have also know that the Horizontal lines have no steepness at all.
Therefore if y=0 is the linear equation to denote the x - axis, then all the points on the x- axis, have their y co-ordinate as 0.
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9y -2x=1 solve for Y
Answer:
y = 1/9 + 2/9x
Step-by-step explanation:
9y - 2x = 1
9y = 1 + 2x (get rid of x)
y = 1/9 + 2/9x (divide 9 on both sides)
2. A square playground has a side which measures 40 metres. What is its area?
The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].
How to calculate area?step1
Perimeter of square = 40m
We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.
Perimeter of square = 4× side
Substituting values in formula
Area of square = 4 × side
=> 40 = 4 × side
=> side = 40÷4
=> side = 10m
Side of square is 10m.
step 2
Calculating area of square :
We found that side of square is 10m. To find it area, required formula is:
Area of square = (side)²
To find area, substitute values in formula :-
Substituting values in formula :-
Area of square = (side)²
=> Area of square = (10)²
=> Area of square = 10 × 10
=> Area of square = 100m
so if the perimeter of square is 40m then the area is 100m.
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Simplify: [tex]\frac{-28cd^3}{-21bd^2}[/tex]
The answer is 4cd/3b
hope it's correct
I NEED HELP I will give brainliest.
Answer: C
x = Grace's collection
3x = Maci's collection
4 = Kendra's collection
52 = Total collection
Because the total is 52, the equation would be x + 3x + 4 = 52. Add the like terms to get 4x+4=52. Subtract 4 on both sides to get 4x=48. Divide 4 on both sides to get x = 12. Because Maci's collection is 3x, she should have 36 earrings.
F(x)=5-3x find f(x+2)
Answer:
f(x + 2) = - 3x - 1
Step-by-step explanation:
substitute x = x + 2 into f(x) , that is
f(x + 2)
= 5 - 3(x + 2)
= 5 - 3x - 6
= - 3x - 1
What is the degree of the polynomial 5x³ 4x² 7x?
The polynomial 5x³ 4x² 7x has three terms, with the highest degree being 3, which makes the degree of the polynomial 3. The polynomial can be written as 5x³ + 4x² + 7x.
1. Identify the polynomial: 5x³ + 4x² + 7x
2. Count the number of terms: 3
3. Find the highest degree (the largest exponent): 3
4. The degree of the polynomial is 3.
The degree of a polynomial is the highest degree of its terms. A polynomial is a mathematical expression consisting of one or more terms with coefficients and exponents. In this case, the polynomial is 5x³ + 4x² + 7x. This polynomial has three terms, and the highest degree is 3, which makes the degree of the polynomial 3. This means that the largest exponent of the terms is 3. To calculate the degree of a polynomial, simply count the number of terms and identify the highest degree, which is the largest exponent. If the polynomial has only one term, then the degree is the exponent of that term
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Which of the systems of linear equations are equivalent?
Answer:
The first two
Step-by-step explanation:
The first two
The bottom equation of the second set is the
bottom equation of the first set multipied by -2
Which is the algebraic sentence for "a number decreased by 6 is 12"?
x - 6 = 12
x + 6 = 12
6x = 12
x6 = 12
Answer:
x - 6 = 12 is the answer
im 100% sure
Answer:
x-6=12
Step-by-step explanation:
X=12+6
X=18
substitute for X in the equation
18-6=12
An object is moving at a speed of 3 yards per month. Express this speed in centimeters per day.
The speed of the object is 9.14 cm per day.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, An object is moving at a speed of 3 yards per month. we are asked to express this speed in centimeters per day.
For this, we will have to convert the units,
1 yard = 91.44 cm
3 yards = 91.44 × 3 = 274.32 cm
Therefore, we can say the object is moving 274.32 cm per month
Now,
If it moves 274.32 cm in one month,
Therefore, in day, it will move = 274.32 / 30 [1 month = 30 days]
= 9.144
Hence, the speed of the object is 9.14 cm per day.
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the figure shows the dimensions of a room in which receptions are held. The room is being carpeted. The three semi-circular parts of the room are congruent. How much carpet is needed? use 3.14 for pie
Answer:
258.39 m^2
Step-by-step explanation:
Solve for the rectangle:
18 • 12= 216
Now solve for the 3 semi circles:
A = 3.14(3)^2= 28.26/2 = 14.13 •3 = 42.39
Add up the areas:
216 + 42.39 = 258.39
What is the inverse of 7 5?
The multiplicative inverse of 7/5 is 5/7 using the formula of multiplicative inverse like (x)^-1 which equals to 1/x.
let's try to learn what is multiplicative inverse.
1/N or [tex]N^-1[/tex] is used to denote a number's multiplicative inverse, such as the number N. From the Latin word "reciprocus," it is also known as reciprocal. Inverse refers to something that is the opposite. The acquired reciprocal of a number is such that its value equals identity 1 when multiplied by the original number. In other terms, it is a technique for producing identity 1 by diluting a number by itself, as in N/N = 1.
One is obtained when a number is multiplied by its own multiplicative inverse.
When a number is multiplied by its original number, the multiplicative inverse of that number, or x^-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2^-1 since it fulfils the formula: 2 x (2^-1) = 2 x (1/2) = 1.It is also known as a number's reciprocal.
Multiplicative inverse of 7/5 is (7/5)^-1 = 1/(7/5) = 5/7.
Given question is incomplete complete question here:
What is the multiplicative inverse of 7/5?
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A) All positive real numbers.
Step-by-step explanation:
Money can only be real numbers/decimals
And because your adding it can't be negative.
Answer:
D
Step-by-step explanation:
This is a real world situation, meaning that there will be no negative amount if weeks, This rules out B and C. As all the numbers are whole, there is no reason for the answer to be all positive real numbers making the answer D.
sutton is listing the prime factorazation for 220 what is the last factor she needs 2 square root of 5
Answer:
4.472135955
Step-by-step explanation:
Please answer the 4th and 6th one
Answer:
5
Step-by-step explanation:
0-6x will be -6x if we divide that six then we will get -30/-6 since minus gets cancelled we will be left with 5
A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $18. Option B is a commission rate of 4% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
Let S be the amount of money the salesperson needs to sell in a week to earn the same amount with the two options. The salesperson earns 40 * $18 = $<<40*18=720>>720 with Option A.
We can set up the following equation to represent the amount of money the salesperson earns with Option B:
0.04S = $720
Solving for S, we find that the salesperson needs to sell $720 / 0.04 = $<<720/0.04=18000>>18,000 to earn the same amount with Option B.
PLS HELP I WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER
Answer:
Step-by-step explanation:80085
Answer:
Graph 1: No
Graph 2: No
Graph 3: No
Graph 4: Yes
Graph 5: No
Graph 6: Yes
Step-by-step explanation: To figure out whether a graph is a function, you need to give each graph a Vertical Line Test. All you need to do is see if more than one point is on the same line whenever a vertical line is placed. If there is more than one point on any vertical line that you drew, it's not a function.
Hope this helps! :)
A length is measured at 21 cm correct to two significant figures, what is the lower bound of the length and upper bound?
Answer:
20.5 and 21.5
Step-by-step explanation:
It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.
10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.
b When will the cyclists meet?
Answer:
They will meet in 1 hour
Step-by-step explanation:
(1) d = 10t
(2) d - 8t = 2 rearrange this equation to: d = 8t + 2
Set equation (1) equal to equation (2):
10t = 8t + 2
Solve for t:
10t - 8t = 2
2t = 2
t = 2/2 = 1 hr
quadratic expression x² +6x +5
Answer:
if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5
Step-by-step explanation: