Answer in explanation:
although there's an addition sign, you subtract the two because a
(+) + (-) = (-) subtract
[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]
subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)
1.3 + (-1.8) =
-0.5
-0.5 is your answer
Hope this is clear!
A scale drawing has a scale of 0.5 in =10 ft find the length
Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).
The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.
So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:
Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)
To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.
Once you have that measurement, you could then simply multiply it by 20.
Step-by-step explanation:
How do you draw an acute angled isosceles triangle?
Answer:
To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.
Step-by-step explanation:
Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.
What is the value of 7 power 2?
The correct answer to the given question is 49. To solve the given problem following steps are followed :
Step 1: 7 power 2 means 7 multiplied by itself 2 times.
Step 2: 7 times 7 is 49.
Step 3: So, the answer is 49.
Comparing two quantities that generate the same result when one is multiplied by a certain amount is known as a multiplicative comparison. Sam, for instance, has twice as many balloons as Sid does. Sid's got three balloons. Sam has two times Sid's amount of balloons. Sam has a total of 6 balloons, which is equal to 2 + 3 + 1.
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Please help ASAP will give 5 stars and brainliest if possible!!
answer
the dot will be shaded and the line goes to the positive part because x is more than or equal to 3
What’s the slope of the line graphed?
Answer:
slope = (-8/3)
Step-by-step explanation:
Point 1: (1, 4); Point 2: (4, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - 4 -8
----------- = ----------- = --------
x₂ - x₁ 4 - 1 3
I hope this helps!
Could someone give me a hand here I’m rlly in a rush I needa get this over with
Answer:
c = √52
Step-by-step explanation:
applying pythagoras theorem: a² + b² = c²
where 'a' and 'b' are legs and 'c' the hypotenuse.
Substitute values:
6² + 4² = c²
c² = 36 + 16
c² = 52
c = √52
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.
What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.To learn more about arithmetic sequences refer to :
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2x+2y=-6 what is it solved into a y=Mx+b
The equation 2x + 2y = -6 in the form of y = mx + b is y = -x - 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
2x + 2y = -6
Subtract 2x on both sides.
2y = -6 - 2x
Divide both sides by 2.
y = -3 - x
y = -x - 3
This is in the form of y = mx + b
Now,
m = -1 and b = -3.
Thus,
y = -x - 3 is the equation.
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Is 5'2 a solution to a system of equations?
Yes, the lines intersect at the point (5, -2) so it is the solution to the system.
Now, According to the question:
Let's know:
Solution to a System of Linear Equations:-
A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.
Let's determine whether the given points are a solution to the systems of equations below.
Is the point (5, -2) the solution of the system of linear equations shown in the graph below?
Yes, the lines intersect at the point (5, -2) so it is the solution to the system.
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i need to add 7/4 + 1/4 +5/3+ 1/3+1/2+1/2
Answer:
5
Step-by-step explanation:
[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]
Shaheen ha many triangular piece, each of area 1 q. Unit and many rectangular piece, each of area 2 q. Unit
If Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit she arranges these to form the given shape then the area of shape is 14 Square Units .
The Area of one triangular piece is given as = 1 Sq . Unit ;
The Area of one rectangular piece is = 2 Sq. Unit ;
From the shape given below ,
we can see that the shape has 4 triangular pieces and 5 rectangular pieces .
So , total area of given shape is ⇒[tex]4\times Area Of Triangle + 5\times Area Of Rectangle ;\\[/tex]
Substituting the values of Area ,
we get ;
[tex]Total Area = 4\times 1 +5\times 2[/tex]
= [tex]4+10[/tex]
= 14 Sq . Units .
Therefore , the area of the given shape is 14 Sq. Units .
The given question is incomplete , the complete question is
Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit .
If she arranges these to form a shape as shown below, what would be the area of this shape ?
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Can u please help...................
Answer:
(-2, 2)
Step-by-step explanation:
You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).
CircumcenterThe circumcenter is the center of the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.
MidpointThe midpoint of segment BC is the average of the coordinates of B and C:
X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2
X = (-2, 2)
The circumcenter is (-2, 2).
__
Additional comment
The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.
To get to his parents' house, Dylan would have to drive due north 8 miles. To get to his
grandparents' house, he would have to drive due east 5 miles. What is the straight-line
distance between the parents' and grandparents' houses? If necessary, round to the nearest
tenth.
When Dylan travels 8 miles due north, the distance between the homes of the parents and grandparents is thus 9 miles.
what is pythagoras theorem ?The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three named sides. With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.
given
by pythagoras theorem
[tex]c^{2} = a^{2} + b^{2} \\c^{2} = 8^{2} + 5^{2} \\c^{2} = 64 + 25 \\c^{2} = 89 \\c = 9[/tex]
The homes of the parents and grandparents are thus 9 miles apart in a straight line.
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A submarine in the middle of the ocean at a depth of 115 feet and dives to a depth of four times its initial death rate in submarines death as an integer
The integer number that represents the submarine's depth is given as follows:
-460.
What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
The concepts of height and depth are given as follows:
Height is above the sea level, hence it is represented by positive integers.Depth is above the sea level, hence it is represented by negative integers.A submarine in the middle of the ocean at a depth of 115 feet, hence the integer that represents the initial depth is given as follows:
-115.
The submarine dived to a depth that is four times the initial depth, hence the integer that represents the final depth is given as follows:
4 x -115 = -460.
(meaning that the final depth of the submarine is of 460 feet).
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What are polynomials and its different types explain with examples?
Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.
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How do you find the sides of an isosceles triangle given the angles?
To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.
An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.
For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:
Side AB = Side BC = (Side AC) x (Sin A / Sin B)
Where A and B are the angles of the triangle and Side AC is the known side length.
Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).
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Please help I have a learning disablity
Find the value of x that makes a true statement.
24 + x = 24
x =
Answer:
24 + x + 24
X is 0
Answer: substract 24 from both sides
then x = 0
Step-by-step explanation:
John had 50$. He spent 60% of the money on clothes and 60% of the remainder on food.
a) how much more did he spend on clothes than on food?
b) how many percent more did he spend on clothes than on food?
Answer:
Step-by-step explanation:
a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.
b) He spent 150% more on clothes than on food.
Pleaseeee help asapppppp
Simplifying
0.75x + 1.2 = 0
Reorder the terms:
1.2 + 0.75x = 0
Solving
1.2 + 0.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.75x = 0 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.75x = 0 + -1.2
0.75x = 0 + -1.2
Combine like terms: 0 + -1.2 = -1.2
0.75x = -1.2
Divide each side by '0.75'.
x = -1.6
What are tractable and intractable problems?
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
Define tractable problem.An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.
Here,
Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.
This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.
Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
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At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows
The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.
What is scientific notation?Scientific notation is a way of expressing very small or very large numbers in a simpler form.
In scientific notation, the number is written as
a.b × 10ⁿ
Where
1 ≤ a < 10n is an integerIf the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!
The mass of 60 cows would be
= number of cows × mass of one cow
= 60 × 410 kg
= 24,600 kg
In scientific notation, it is
24,600 kg = 2.46 × 10,000
24,600 kg = 2.46 × 10⁴ kg
Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.
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Someone please help! Picture attached
Answer:
third side = 3
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = 5²
x² + 16 = 25 ( subtract 16 from both sides )
x² = 9 ( take square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
Find the rate of change for this linear function.
y = 5x - 1
Find the initial value of the linear function
Y=5x+2
rate of change for this linear equation, y = 5x - 1 is +5
the initial value of the linear equation, y = 5x + 2 is +2.
What is linear equation?A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.
Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.
Given that,
y = 5x - 1 is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is -1.
Given that,
y = 5x + 2
is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is + 2.
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The following system of equations is _____.
y = - x +
2x + 6y = 4
independent
inconsistent
equivalent
Answer:
"equivalent"
Step-by-step explanation:
Right!!
The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?
The price of a stock share has decreased by 15% and suddenly increased by 5%.
What is a percentage?The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.
The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).
When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.
100 - 15% = 85% = 0.85
100 + 5% = 105% = 1.05
original selling price = d
selling price at a later date = 1.05(0.85d)
0.85d means that the original price was discounted by 15%
1.05 means that the price increased by 5%
Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.
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The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?
The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.
We will calculate the interquartile range and us the rule 1.5 .
The formula to calculate interquartile range is to subtract the value of first quartile by the value of second quartile.
IQR = Q3 - Q1
Therefore, interquartile range becomes,
IQR = 17 - 13
IQR = 4
Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first
4 * 1.5 = 6
and then,
17 + 6 = 23
on applying the rue we will get ,
13 - 6 = 7 .
This value means that there is no outlier in the displayed data set.
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Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.
Answer: He received $3.51 in change.
Step-by-step explanation:
To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).
It will look like this:
$20.00 - $16.49 = $3.51
Answer:3 dollars and 51 cents
Step-by-step explanation:
How do you simplify F G?
F G cannot be simplified because it is not an equation, it is a phrase.
1. First, determine what F G is. In this case, F G is a phrase and not and equation.
2. Since F G is a phrase, it cannot be simplified.
Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.
F G cannot be simplified because it is not an equation, it is a phrase.
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write the equation of the cirlce, in standard form which has endpoints of a diameter at (-5,-5) and (7,2)
The equation of the circle in standard form is ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.
A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.
Equation of the circle in standard form is,
( x-h )2 + ( y-k)2 = r2
we have to find the the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.
here, h = ( x1 + x2 ) / 2
k = ( y1 + y2 ) / 2
here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.
so, h = -5 + 7 / 2 = 1
k = -5 + 2 / 2 = -3/2
Putting all the values we get the equation of circle in standard form.
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Can u please help.............
The rotation about the center that can map an equilateral triangle onto itself is C. 120 degrees.
What angle rotates an equilateral triangle onto itself ?There are three equal sides and angles in an equilateral triangle which is 60 degrees each. This means that an equilateral triangle can be divided into three-axis of symmetry such that there are three lines dividing the triangle.
Should this happen, then the angle to rotate the triangle and map it onto itself would be 120 degrees as each of these axes of symmetry measure 120 degrees.
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