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∆ GHJ is an Equilateral triangle ,
Thus the sides are same.
So :
GH = HJ = GJ
\(2x + 17 = 6x - 19 = 4x - 1\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(2x + 17 = 6x - 19\)
Add sides 19
\(2x + 17 + 19 = 6x - 19 + 19 \\ \)
\(2x + 36 = 6x\)
Subtract sides 2x
\( - 2x + 2x + 36 = - 2x + 6x\)
\(36 = 4x\)
\(4x = 36\)
Divide sides by 4
\( \frac{4x}{4} = \frac{36}{4} \\ \)
\(x = 9\)
So ;
\(GH = 2(9) + 17\)
\(GH = 18 + 17\)
\(GH = 35\)
Thus ;
\(GH = HJ = GJ = 35\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In ️KLM, k=76 inches , I =30 inches and m=69 inches. Find the measure of
Given the information on the problem,we have the following triangle:
we can find the measure of angle M using the law of cosine:
\(m^2=k^2+l^2-2kl\cos M\)in this case, we have the following:
\(\begin{gathered} (69)^2=(76)^2+(30)^2-2(76)(30)\cos M \\ \Rightarrow4761=5776+900-4560\cos M \\ \Rightarrow4761-5776-900=-4560\cos M \\ \Rightarrow-1915=-4560\cos M \\ \Rightarrow\cos M=\frac{-1915}{-4560}=\frac{383}{912} \\ \Rightarrow M=\cos ^{-1}(\frac{383}{912})=65 \\ M=65\degree \end{gathered}\)therefore, the measure of angle M is 65 degrees
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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What are the first 3 terms of the sequence represented by the expression n(n – 2) – 4 ?
The first 3 terms of the sequence using the expression are -5, -4 and -1
Calculating the first 3 terms of the sequence using the expressionFrom the question, we have the following sequence that can be used in our computation:
n(n – 2) – 4
This means that
T(n) = n(n – 2) – 4
Set n = 1, 2 and 3
So, we have
T(1) = 1 * (1 – 2) – 4 = -5
T(2) = 2 * (2 – 2) – 4 = -4
T(3) = 3 * (3 – 2) – 4 = -1
Hence, the first 3 terms of the sequence using the expression are -5, -4 and -1
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1.5(a -4) - 2 = 4 pls help ASAP and show checked answer
Answer:
4
Step-by-step explanation:
Solving:
1.5(a -4) - 2 = 4 1.5a - 6 -2 = 41.5a - 8 = 41.5a = 4 + 81.5a = 12a = 12/1.5a = 8Checking:
1.5(8-4) - 2 = 41.5*4 - 2 = 46 - 2 = 44 = 4what is R240 decreased by 15%?
Answer:
There are two steps to calculating a 10 percent discount: Step 1 is to convert your percentage to a decimal, the formula for which is 15 / 150 = 1.5. So 15 percent as a decimal is 1.5. Step 2 is to multiply your original price by your decimal.
Step-by-step explanation:
(1 - 15%) × 240 = ? Number 240 decreased by 15% (15 percent) of its value (percentage decrease) and calculated absolute change (actual difference)
15 POINTS GIVEN⁉️⁉️
Using the scatter graph, decide whether each of the following statements is true or false: a) The same athlete had the longest javelin throw and the longest discus throw. b) The shortest javelin throw was longer than the shortest discus throw. c) The longest discus throw was shorter than the longest javelin throw. Athletes' javelin and discus throws 60 Length of discus throw (m) 5 55 90 0 X 40 X X X x X X X X X 45 50 55 60 Length of javelin throw (m) X X 65 70
Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.
Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:
a) The same athlete had the longest javelin throw and the longest discus throw.
b) The shortest javelin throw was longer than the shortest discus throw.
c) The longest discus throw was shorter than the longest javelin throw.
Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.
The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.
b) The shortest javelin throw was longer than the shortest discus throw.
This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.
The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.
This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.
To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.
The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.
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What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46
a spring, whose equilibrium length is 1 m,1 m, extends to a length of 4 m4 m when a force of 5 n5 n is applied. find the work needed to extend the spring to a length of 2 m.
The work needed to extend the spring to a length of 2 m is 1.875 Joules.
To find the work needed to extend the spring to a length of 2 m, we can use the concept of work done by a force in stretching a spring.
The work done is given by the formula:
Work =\((1/2)k(x^2 - x0^2)\),
where k is the spring constant, x is the final displacement, and x0 is the initial displacement (equilibrium length).
Given:
Equilibrium length (x0) = 1 m
Force applied (F) = 5 N
Final displacement (x) = 2 m
We need to find the spring constant (k) to calculate the work. The spring constant can be determined using Hooke's Law:
F = k * x
Substituting the values:
5 N = k * 4 m
Solving for k:
k = 5 N / 4 m = 1.25 N/m
Now we can calculate the work done to extend the spring to a length of 2 m:
Work = (1/2) * k * (x^2 - x0^2)
= (1/2) * 1.25 N/m * ((2 m)^2 - (1 m)^2)
= (1/2) * 1.25 N/m * (4 m^2 - 1 m^2)
= (1/2) * 1.25 N/m * 3 m^2
= (1/2) * 3.75 N*m
= 1.875 J
Therefore, the work needed to extend the spring to a length of 2 m is 1.875 Joules.
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Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
pls pls pls pls help me istg ill be your best friend and give you brianliest and all the points i can give and ill love you forvever pls pls pls pls
a. The chart did not maintain consistent scaling
b. The graph is not the appropriate graph type to display such data
c. The display had inaccurate or distorted visual representations
How do we explain?When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.
The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.
So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.
It also advisable to make use of clear and accurate labeling with descriptive titles and units of measurement.
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Points found in Quadrant III have
Answer:
Both x and y-coordinate are negative.
Can someone help me pls it’s due tomorrow
Answer:
1. 63.08 Rs
2. 5.03 Rs
3. 25.2 Rs
Explanation: answer to Q1 is already given.
Q2.=petrol price December2013 - December2011
=78.56-73.53
=5.03 Rs.
Q3.=Diesel price Aug '14 - Jan '11
=67.26-42.08
=25.2 Rs.
sorry idk the answer of Q4.
1. Use a proportion to find the height of the tree.
Given:
Height of the tree
To find the height of the tree, we use ratio/proportion.
So, we let x be the height of the tree and use the formula:
Height of man/length of man's shadow = x/length of the tree's shadow
\(\begin{gathered} \frac{5\text{ ft}}{8\text{ ft}}=\frac{x}{32\text{ ft}} \\ \text{Simplify and rearrange} \\ x=\frac{5(32)}{8} \\ \text{Calculate} \\ x=20\text{ ft} \end{gathered}\)Therefore ,the height of the tree is 20 ft.
which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.
The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.
Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.
The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.
In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
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Find the distance between the points (8, 1) and (5, 5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
___ Units
What will be the possible minimum and maximum cardinality of following sets, if X is a set of n numbers and Y is a set of m numbers and n is greater than m.
(a) X ∩ Y
(b) X ∪ Y
(c) X – Y
(d) Y - X
The cardinality of the set has been given in the explanation below
What is meant by the cardinality of a setThe cardinality of a set can be defined as the size of the set
(a) The minimum cardinality of X ∩ Y is 0, if X and Y have no elements in common. The maximum cardinality of X ∩ Y is m, if Y is a subset of X.
(b) The minimum cardinality of X ∪ Y is m, if Y is a subset of X. The maximum cardinality of X ∪ Y is n, if X and Y have no elements in common.
(c) The minimum cardinality of X - Y is 0, if Y is a subset of X. The maximum cardinality of X - Y is n - m, if X and Y have no elements in common.
(d) The minimum cardinality of Y - X is 0, if X is a subset of Y. The maximum cardinality of Y - X is m - n, if X and Y have no elements in common.
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Marvin saw a rug in a store that he would like to purchase. It has an area represented by the expression shown on the rug. He cannot remember the length and width, but he remembers that the length and the width were the same. a. Factor the expression that represents the area of the rug. b. What do the factors in the factored expression represent. ( x²-16x + 64)
The area of the rug, represented by the quadratic expression, x² - 16·x + 64, indicates;
a. The factored expression is; x² - 16·x + 64 = (x - 8)·(x - 8)
b. The factors (x - 8) and (x - 8) in the factored expression represent the length and the width of the rug.
What is a quadratic expression?A quadratic expression is an expression of the form; a·x² - 16·x + 64, where a ≠ 0, and a, b, and c are numbers.
The possible expression for the area of the rug is the quadratic expression; (x² - 16·x + 64)
The length of the rug = The width of the rug
a. The factor of the expression in the question, (x² - 16·x + 64), can be obtained by finding the numbers that have a product of 64 and a sum of -16
The possible number is therefore; 8
-8 × -8 = 64
-8 - 8 = -16
Therefore, we get; (x - 8) × (x - 8) = (x² - 16·x + 64)
The factored expression is therefore; (x² - 16·x + 64) = (x - 8) × (x - 8)
b. The measure of the factors are the same; (x - 8) = (x - 8)
Whereby; x² - 16·x + 64 represents the area of the carpet and the lengths and the width of the of carpet are the same, therefore;
The length of the carpet = (x - 8)
The width of the carpet = (x - 8)
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HELP ME I WILL GIVE BRAIN LEST
How many cows are there if 5 are in the barn and 8384737 are out the barn.
Answer:
8384742
Step-by-step explanation:
Answer:
there is no cow there because they have been barn
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary.
If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is: $3,674.84.
What is selling price?Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.
Given data:
Adventurers selling price = $3056
Thunder Ridge = 4,125
Markup 20 1/4% = 20.25 %
First step is to find markup
Markup = 20.25% × 3056
Markup = $618.84
Now let find the selling price of the swing
Selling price = $3056 + $618.84
Selling price = $3,674.84
Therefore the selling price is the amount of $3,674.84.
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The complete question is:
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers 3,056
Thunder Ridge 4,125
The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
solve: 4(x+1)= -3x-10
SHOW WORK!!!!
WILL MARK BRAINLIEST
━━━━━━━☆☆━━━━━━━
▹ Answer
x = -2
▹ Step-by-Step Explanation
4(x + 1) = -3x - 10
Distribute 4:
4x + 4 = -3x - 10
4x + 3x
Move the terms:
4x + 3x + 4 = -10
Collect like terms:
7x = -10 - 4
7x = -14
FINAL ANSWER:
x = -2
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. Solve the division problem. StartFraction 13 over 2 EndFraction divided by three-fourths Monique made batches of soup.
Answer:
8 2/3
Step-by-step explanation:
proof below
Answer:
8 2/3
Step-by-step explanation:
Does anybody have the answer to this???? Thank You
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
What is equivalent to (3-2x) (4x - 7)?
A. 26x
B. -8x-21
C. -8x²+26x – 21
D. 12x² - 2x +21
If the terminal side of angle θ is in the first quadrant and cos(θ)=3√2, what is the exact measure of θ?
There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.
Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.
Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.
Let's calculate the length of the opposite side:
opposite^2 + adjacent^2 = hypotenuse^2
opposite^2 + (3√2)^2 = 1^2
opposite^2 + 18 = 1
opposite^2 = 1 - 18
opposite^2 = -17
Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.
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?/1 4. Draw a line representing the relationship between x , the number of hours it takes the painting company to finish the house, and y , the total cost of painting the house. Label the two points from the earlier question on your graph.what is the slope?
We can plot these points on a graph with x on the horizontal axis and y on the vertical axis. Once we plot these points, we can draw a straight line passing through both points.
To calculate the slope of this line, we can use the formula:
slope = (change in y) / (change in x)
In this case, the change in y is $2000 - $1600 = $400, and the change in x is 10 - 8 = 2.
Therefore, the slope of the line is: slope = $400 / 2 = $200 per hour
This means that for every additional hour it takes the painting company to finish the house, the total cost of painting the house increases by $200. In summary, we can draw a line representing the relationship between x and y using the two points provided, and calculate the slope of the line to be $200 per hour.
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80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
The range of the set of the values 7, 3, 6, 9 and 5 =
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
3/4 (x +21) = 10 1/2
What does x equal?
Answer:
\( \huge \boxed{ \boxed{ \red{x = - 7}}}\)
Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:\( \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} \)\( \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} \)\( \sf cross \: multipication : \\ 2(3x + 63) = 84\)\( \sf distribute \: 2 : \\ 6x + 126 = 84\)\( \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42\)\( \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7\)Step-by-step explanation:
Solution given;
\( \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7\)
:.x=-7 is your answer.