Answer: The length of each side of the triangle is;
Equal sides, x = 21.02 = PQ = PR
QR = 28.03
Step-by-step explanation: The trusses made by the manufacturer have the shape of an isoscellestriangle and as such two congruent sides PQ ≅ PR) are equal and QR is the third side whose length is 4/3 of the congruent sides.
The perimeter of each truss is 70ft.
Let the length of each congruent side be x ft.
Therefore,
Perimeter = x + x + (4/3)x
Perimeter, p = 70 = 3.33x
x = 70/3.33
x = 21.02
Therefore, Length of QR is; QR = (4/3) x
QR = (4/3) × 21.02
QR = 28.03
I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?
If William spends a winter day recording the temperature once every three hours for science class. If the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F
How to find the temperature?Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:
Temperature at noon = -12.2 + 16.2
Temperature at noon = 3.0°F
Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:
Temperature at 3pm = 3.0 - 9.1
Temperature at 3pm = -6.1°F
Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:
Temperature at 6pm =-6.1 - 5
Temperature at 6pm = -11.1°F
Therefore the temperature at 6pm is -11.1°F.
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which of the following phrases translate to the expression y+7 ?
The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.
Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.
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Can you guys answer the top question thanks?
The required solution are as follows,
(A) Kyra's equation of line, passes through 15 pts.
(B) Liam's equation of line, passes through 20 pts.
(C) the equation of line passes through 30 pts is y = 4/3x + 5.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
Drawing the graph on the graph and evaluating which line pass through which points,
(A)
Kyra's equation of a line is y = 1/2 x
And from the graph, it is seen that the line passes through 15pts
Similarly,
(B) passes through 20 pts
(C)
from the graph, it is seen that equation y = 4/3x + 5 passes through 30 points.
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50x4-(3 divided by 2)
198.5 is the answer
50X4-(3÷2)=198.5
Answer: 198.5
Step-by-step explanation:
= 50x4-(3 divided by 2)
= 50x4-(3/2)
= (50 x 4) - ( 3/2 )
= (200) - (3/2)
= 200 - 1.5
= 198.5
A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot.
Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other?
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective than B.
Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that B is more effective than A.
No, because a difference in mean rating of 1.5 or less occurred 167 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
answer is D
The conclusion on if there is convincing evidence that the one detergent is better than the other is; Option D: No, because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
What is the conclusion of the sample research?We are told that, 25 pieces are randomly assigned to be cleaned with detergent A, while the remaining 25 pieces are cleaned with detergent B.
Therefore, we can say that the sample size for both detergent A and detergent B is same. We can also say that the sample is distributed randomly which means that the sample is unbiased (fair).
We are also told that the mean rating for detergent B is found to be significantly less than the mean rating for detergent A. Since we know that the mean is the average of a set of given numbers, then we can conclude that there is No evidence that the one detergent is better than the other because a difference in mean rating of 1.5 or more occurred 23 out of 200 times, meaning the difference is not statistically significant and there is not convincing evidence that one brand is better than the other.
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Given (x – 7)2 = 36, select the values of x.
Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?
a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.
b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).
What is the slope-intercept equation?The slope-intercept equation is in the form of y = mx + b.
The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.
Initial starting salary per year = $57,000
Annual raise in salary = $4,000
Period = 4 years
Salary after 4 years = $73,000 [$57,000 + $4,000(4)]
Salary after t years = $57,000 + $4,000(t)
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How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)
Answer:
g (x) = −7 x 2 + 26 x + 8
Step-by-step explanation:
What is a midpoint for zero?
The midpoint for zero is (0,0).
The midpoint can be zero. This is dependent on the value of the two points. For two points on a number line on points with values -4, and 4, the midpoint is 0. And for two points such as (-2, 5), and (2, -5), the midpoint is equal to (0, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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A hotel is offering two weekend specials. The first special is 3 nights and 4 meals for $233. The second
special is 3 nights and 3 meals for $226.50.
Part A: Write a system of equations to represent cost per night x and cost per meal y.
Part B: What is the cost per night and the cost per meal?
Answer: Part A:
To represent the cost per night x and cost per meal y in a system of equations, we can use the information provided in the question:
First Special:
3x + 4y = 233
Second Special:
3x + 3y = 226.50
Where x is the cost per night and y is the cost per meal.
Part B:
To find the cost per night and the cost per meal, we can use the information provided in the question and system of equations.
We can solve this system of equations using several methods: substitution or elimination method.
One common method to find the solution is by substitution method, where we find the value of x in terms of y from one of the equations and then substitute it into the other equation to solve for y.
x = (233 - 4y)/3
then substitute it into the other equation:
3(233 - 4y) + 3y = 226.50
now solve for y:
699 - 12y + 3y = 226.50
-9y = -472.50
y = 52.50
and we can substitute it back into the first equation:
3x + 4(52.50) = 233
3x = 80.50
x = 26.83
So the cost per night is $26.83 and the cost per meal is $52.50
Step-by-step explanation:
How do you explain 2 3?
This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.
What is coordinate system?The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.
In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.
How do we explain 2 3?We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.
So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.
In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.
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Complete question is: In the point (2,3) which point denotes the y-coordinate.
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases. What does the 10 represent?
A)
The interest the savings account earned for the first year.
B)
The annual interest rate of the savings account.
C)
The number of years the savings account has earned interest.
D)
The starting balance of the savings account.
The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.
Therefore the answer is D) The starting balance of the savings account.
The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:
A = P(1 + r)^(t)
Where:
A is the final amount (principal + interest)
P is the principal (initial) amount
r is the annual interest rate (expressed as a decimal)
t is the number of years the money is invested or borrowed
The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.
So 10 represents the principal (initial) amount
0.014 represents the annual interest rate (expressed as a decimal)
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a rectangular prism has dimensions of 8cm by 9cm by 10cm what is its volume?
A rectangular prism has dimensions of 8cm by 9cm by 10cm therefore the volume is 720cm³.
What is Volume?This is referred to as the measure of the space occupied within the boundaries of any three-dimensional solid.
Volume of rectangular prism = l × w × h where l is length, w is width and h is height.
Volume = 8cm × 9cm × 10cm = 720cm³.
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What does ∧ and ∨ mean in math?
The ^ operator in logical mathematics means the OR operation . Therefore , the statement ∧ and ∠means that a or the negation of a is joined by the or operation .
These are known as logical operations as they are based upon logic.The meaning of the term logic is reasoning which means to resonate. The reasoning may be a legal opinion or mathematical confirmation.
We apply logic on expression to check whether they are true of false . Some of the mathematical logics are a negation, conjunction, and disjunction logical operations. The symbols used for them in mathematical logic is, ‘~’ for negation ‘^’ for conjunction and ‘ v ‘ for disjunction.
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If BE=24, DF= 10, and A F= 13,
1. Find the perimeter of ΔABE
2. Find the perimeter of ΔCDF
The perimeter of ΔABE is 70 units.
The perimeter of ΔCDF is 35 units.
How to find the perimeter of a triangle?A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.
Therefore, the perimeter of a triangle is the sum of the whole sides.
Triangle mid point theorem is used to find the perimeter of the triangles.
It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Let's find the perimeter of triangle ABE.
Hence,
perimeter of triangle ABE = AB + BE + AE
BE = 24
AE = 13 + 13 = 26
AB = 10 + 10 = 20
perimeter of triangle ABE = 24 + 26 + 20 = 70 units
perimeter of triangle CDF = DF + CD + CF
perimeter of triangle CDF = 10 + 13 + 12
perimeter of triangle CDF = 35 units
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These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not?
Table A is a function.
Table B is not a function.
Table C is a function.
Table D is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation is not a function if it is one to many.
Table A is a function and it is a many-to-one function.
Table B is not a function as input 1 leads to two different outputs 1, - 1.
Table C is a function and it is a one-to-many function.
Table D is not a function as one input leads to 3 different outputs.
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Work out the area of this shape. Give your answer
in cm².
3 cm
4 cm
10 cm
The area of the given shape is 46 cm²
Formulas used:
Area of the triangle = (1/2) × Base × Height
Area of rectangle = Base × Width
Here we have
The composite figure with a right-angled triangle and a rectangle
In a right-angled triangle,
The base of the triangle = 3 cm
Height of the triangle = 4 cm
Area of the triangle
= (1/2) × base × height
= (1/2) × 3 × 4
= (1) × 3 cm × 2 cm
= 6 cm²
In rectangle,
Length of the rectangle = 10 cm
Width of the rectangle = 4 cm
Area of the rectangle
= Length × Width
= 10 cm × 4 cm
= 40 cm²
By the above calculations,
Area of the given figure = Area of triangle + Area of rectangle
= 6 cm² + 40 cm² = 46 cm²
Therefore,
The area of the given shape is 46 cm²
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what is the x and y of this equation 5x+7=6x+4
The value of x will be; x = 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that the equation 5x+7=6x+4
Here, we need to solve for x;
5x+7=6x+4
combine the like terms;
5x - 6x = -7 +4
-x= - 3
x = 3
Therefore, the solution will be as;
x = 3
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What is the interval of 0 5?
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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PLEASE HELP !!
Find the value of x
picture attached
Answer:
x = 11
Step-by-step explanation:
The two angles are consecutive interior angles so they add up to 180
13x -26 + 5x + 8 = 180
13x + 5x -26 + 8 = 180
18x - 18 = 180
18x = 180 + 18
18x = 198
x = 11
At the candy store, Julie found a special scale that would measure the number of pounds, p, of candy and then calculate the cost, c, when you typed in the name of the candy. For her favorite candy, chocolate gummy bears, she wrote this table.
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Choose all of the following statements that are true.
Select one or more:
a.
A reasonable domain is [-1, 100]
b.
A reasonable domain is (0, 50] .
c.
c = 6.75p
d.
none of these
e.
A reasonable range is [0, 20].
The true statement about the function in the list of options is (d) none of these
How to determine the true statements in the list of optionsFrom the question, we have the following parameters that can be used in our computation:
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Where
the number of pounds of candy = p the cost of candy = cThe values in the p column represent the domain
In this case, the domain is
Domain = [0.25, 1.25]
The values in the c column represent the range
In this case, the range is
Range = [1.69, 11.81]
This means that the options (a), (b) and (e) are false
For option (c), we have
c = 6.75p
This means that
c = 6.75 * 0.25 = 1.69
c = 6.75 * 0.45 = 3.04
c = 6.75 * 0.75 = 5.06
c = 6.75 * 1.25 = 8.43 -- false
This means that the option (d) is false
Hence, none of the options is true
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What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?
Helppppppp
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Her painting rate in window frames per hour will be;
⇒ 1.6 frames per hour
Her painting rate in hours per window frame will be;
⇒ 0.25 hours per window frame
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Joyce painted 8 window frames in 5 hours while earning money for college.
Here, Joyce painted 8 window frames in 5 hours while earning money for college.
Hence, Her painting rate in window frames per hour is,
⇒ 8/5
⇒ 1.6 frames per hour
And, Her painting rate in hours per window frame is,
⇒ 5/8
⇒ 0.25 hours per window frame
Thus, Her painting rate in window frames per hour = 1.6 frames per hour
Her painting rate in hours per window frame = 0.25 hours per window frame
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Sandy ate 1/6 of the candy bar John ate 3/4 of it how much more of the candy bar did John eat then Sandy
Answer: 7/12
Step-by-step explanation:
Based on the given conditions, formulate: 3/4 - 1/4
Find the common denominator and write the numerators above the common denominator: 9/12 - 2/12
Calculate the product or quotient:
Write the numerators over the common denominator: 9-2
12
Calculate the sum or difference: 7/12
Answer: 7/12
Radicals help please
Consequently, the answer to the above fraction problem comes out to be 1/2 .
What is fraction?An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.
Here,
Given here is: (4√(2) - √(2)) × √(2) / (2) (2) × √(18) (18)
The radical is then simplified in order to determine its value.
=> 3√(2) × √(2) / 2√(2) × 3√(2)
=> 3(2) / 6(2)
=> 3/6
=> 1/2 or 0.5
so,
after simplification, the answer is 1/2.
Consequently, the answer to the above fractional problem comes out to be 1/2 .
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Two piecewise functions are shown below. What is the value of 3h(2) + 4g(1)?
Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.
Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.
Are you able to provide the piecewise functions, or are you just using them as an example?
Also, in case if you want to describe the functions in words, please let me know.
Step-by-step explanation:
Rsm question please help!
The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²
How to perform multiplication on algebraic expressions?An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25
In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:
-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)
= 1x⁴ + 1.5x³ - 2x²
= x⁴ + 1.5x³ - 2x²
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27/3 TO A WHOLE
NUMBER
Answer:
9, after being converted to a mixed number
Step-by-step explanation:
Just divide 27 by 3, it’ll equal 9
yw :)
hope i helped, reach out if it’s wrong (it’s not lol)
Have a great day :3
Answer: 9
Step-by-step explanation:
since fraction means we divide the numerator by denominator, we divide 27 by 3
⇒27/3
⇒27 ÷ 3
⇒9 answer
hope that helps ...
54 is 72% of what number?