angle 1 = 180 - 74 the angle on a straight line is given as 180
= 106 degrees
What are alternate angles?Alternate angles are a pair of angles formed by a transversal intersecting two parallel lines. These angles are located on opposite sides of the transversal and on opposite sides of the parallel lines.
The alternate angles are congruent, which means they have the same measure or degree. In other words, if one alternate angle measures x degrees, then its corresponding alternate angle will also measure x degrees.
angle 2 = angle 1
They are vertical angles hence they are equal
angle 3 = 74 degrees
They are vertical angles as well
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What is the value of x?
Enter your answer in the box.
x =
The side length RQ of the triangle QRT that is 'x' will be 4 units.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
In triangle ΔRST, the side RT is given by the sine of angle 60°. Then we have
sin 60° = (2√3) / RT
(√3)/(2) = (2√3) / RT
RT = 2 x 2(√3) / (√3)
RT = 4
In triangle ΔQRT, the side QR is given by the tangent of angle 45°. Then we have
tan 45° = RQ / RT
1 = x / 4
x = 4
The side length RQ of the triangle QRT that is 'x' will be 4 units.
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8x - 9 -11 - 14x pls help I’m very dumb heheee
Answer:
-20-6x
Step-by-step explanation:
you connect the like terms.
Can anyone help me with this and explain?
I need help is using double-angle formulas to simplify trig expressions.
Answer:
the answer is c
Step-by-step explanation:
(1-cosb²)/sinx²
IREADY MATH AREA QUESTIONS PLS HELP TTYYY!!
A circle has a diameter of 10 cm. A rectangle has a length of 10(pie)cm and a width of 5 cm.
Determine how the areas of the circle and the rectangle are related.
Use the drop-down menus to describe how the areas are related.
Area of circle: A = (pie)r²
1) The rectangle's length is equal to ______of the circle,
THIS BLANKS OPTION CHOICE:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference
2) while the The rectangle's length is equal to rectangle's width is equal to _______. the circle.
THE BLANKS OPTION:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference
3) So, the area of the circle is _______ of the Pick of area of the rectangle.
THE BLANK ANSWER CHOICES:
A) one fifth
B) two fifths
C) one half
D) twice
The rectangle's length is equal to the circumference of the circle, while the the rectangle's width is equal to radius of the circle. So, the area of the circle is one half of the area of the rectangle.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Note: Radius = diameter/2 = 10/2 = 5 cm.
Mathematically, the area of a circle can be calculated by using this formula:
Area of a circle = πr²
Area of a circle = 25π cm².
Mathematically, the area of a rectangle can be calculated by using this formula:
Area of a rectangle = LW
Where:
W represents the width of a rectangle.L represents the length of a rectangle.Area of a rectangle = 10π × 5
Area of a rectangle = 50π cm².
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What percent larger is 20.49 trillion to 13.4 trillion
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
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A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
7x + 9 = 58? solve for x
The solution to the equation 7x + 9 = 58 is x = 7.
To solve the equation 7x + 9 = 58 for x, we can follow these steps:
Subtract 9 from both sides of the equation to isolate the term with x:
7x + 9 - 9 = 58 - 9
7x = 49
Divide both sides of the equation by 7 to solve for x:
7x / 7 = 49 / 7
x = 7
Therefore, the solution to the equation 7x + 9 = 58 is x = 7.
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e^(i.π)+2^(-2+3-1)+21899921030
Answer:
21899921030
Step-by-step explanation:
e^(i.π) = -1
2^(-2+3-1) = 2^0 = 1
Therefor
-1 + 1 + 21899921030 = 21899921030
Algebraically show that each of the given combinations are equivalent to the given functions.
h(x) + j(x) is equivalent to k(x) given:
h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3
h(x) + j(2) =
Is h(x) + j(x) equivalent to k(x)? yes
Answer:
YES, they are equal
Step-by-step explanation:
Given the expressions
h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3
h(x) + j(x) = 2x – 3 + (-4x + 6)
h(x) + j(x) = 2x - 3 -4x + 6
h(x) + j(x) = 2x - 4x -3 + 6
h(x) + j(x) = -2x + 3 = k(x)
This shows that h(x) + j(x) = k(x)
Pls help
Consider functions fand g below.
g(x)=-x^2+2x+4
A.As x approaches infinity, the value of f(x) increases and the value of g(x) decreases.
B.As x approaches infinity, the values of f(x) and g(x) both decrease.
C.As x approaches infinity, the values of f(x) and g(x) both increase.
D.As x approaches infinity, the value of f(x) decreases and the value of g(x) increases.
Consider functions fand g below g(x)=-x^2+2x+4 is option D.As x approaches infinity, the value of f(x) decreases and the value of g(x) increases.
The limit of a function, as x approaches infinity, is defined as a certain value if the function approaches the same value as x approaches infinity from both sides. The behavior of a function, as x approaches infinity, is determined by the function's rate of increase or decrease and the value of the function at x = 0.
The value of f(x) and g(x) will both increase as x approaches infinity in situation C. This implies that the functions are continuously increasing without bound, i.e., the function's value at any given point will always be greater than the previous point. Consider the example of f(x) = x² and g(x) = 2x. As x approaches infinity, f(x) and g(x) will both continue to increase indefinitely.
This is because x² and 2x are both monotonically increasing functions.As x approaches infinity, the value of f(x) decreases and the value of g(x) increases in situation D. As the value of f(x) approaches infinity, it will eventually reach a point where its rate of increase slows and the function will start to decrease.
On the other hand, g(x) will continue to increase because its rate of increase is faster than f(x) and does not slow down as x approaches infinity. Consider the example of f(x) = 1/x and g(x) = x². As x approaches infinity, f(x) decreases towards zero while g(x) continues to increase without bound.The correct answer is d.
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6. Rewrite y = √√4x+16 +5 to make it easy to graph using a translation. Describe the graph.
Answer:
~
Step-by-step explanation:
To make it easier to graph using a translation, we can rewrite the given equation as:
y - 5 = √√4x + 16
This is obtained by subtracting 5 from both sides of the equation.
The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.
use the graph of the parabola to fi in the table
Answer:
line of symmetry: x = -3
intercepts...
x - intercept: (-4, 0) and (-2, 0)
y - intercept: (0, 8)
vertex: (-3, -1)
Step-by-step explanation:
The image isn't that clear but what I can get is what listed
line of symmetry is the line straight down the middle as if the graph is reflected to the other side
intercepts...
x - intercept is when y = 0, note there is 2 of these a negative and positive root
y - intercept is when x = 0
vertex is the turning point
for an upward curve its a min
for a downward curve it a max
I attached an example of each on of these
Complete the statements to describe the parametric equations y = t3 and x = t + 1. After eliminating the parameter, the rectangular equation is . A. y = x3 + 1 B. y = x3 – 1 C. y = x3 – 3x2 + 3x – 1 D. y = x3 + 3x2 + 3x + 1 The rectangular equation can be described as a . The domain is .
After eliminating the parameter, the rectangular equation is y = x³ – 3x² + 3x – 1. Option C is the correct option.
What is a rectangular equation?
An equation in rectangular form, also known as a rectangular equation, is a single equation written in the standard form in mathematics that uses variables like x, y, and z.
Given parametric equations are
y = t³ .......(i)
x = t + 1 .....(ii)
Calculate the value of t from equation (ii):
x = t + 1
t = x - 1
Putting t = x - 1 in equation (i):
y = (x - 1)³
Applying algebric identity (a - b)³ = a³ – 3a²b + 3ab² – b³:
y = x³ – 3x² + 3x – 1
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Answer:
c
cubic
all real numbers
Step-by-step explanation:
125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:
45∘
Step-by-step explanation:
So, the reference angle is 360∘−315∘=45∘
Hope this helps! :D
Help me out with this please!
No links to websites other than Brainly.
Problem 1
Answers:
It costs 1.72 dollars to send a letter that is 1.5 ounces
It costs 1.72 dollars to send a letter that is 2 ounces
In short, both answers are 1.72 dollars
--------------------------------
Explanation:
The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.
A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.
Here are the rules for this function
If \(0 < w \le 1\), then F(w) = 1.15If \(1 < w \le 2\), then F(w) = 1.72If \(2 < w \le 3\), then F(w) = 2.29If \(3 < w \le 3.5\), then F(w) = 2.86As you can see, the definition of F(w) will change depending on what w is.
If the weight is w = 1.5 ounces, then we're on the interval \(1 < w \le 2\) since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.
If you wanted, you could rewrite those four bulleted points into this equivalent form
If \(0 < w \le 1\), then the cost is $1.15 to send the letterIf \(1 < w \le 2\), then the cost is $1.72 to send the letterIf \(2 < w \le 3\), then the cost is $2.29 to send the letterIf \(2 < w \le 3.5\), then the cost is $2.86 to send the letterwhich is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.
A letter that's 2 ounces will cost $1.72 as well since w = 2 makes \(1 < w \le 2\) true.
In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.
===========================================================
Problem 2
Answer: The graph is shown below (attached image)
--------------------------------
Explanation:
We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).
Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.
For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.
As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}
The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.
Which expression correctly shows how to rewrite log521 using a log base of 7?
log75log721
fraction numerator log subscript 7 end subscript 5 over denominator log subscript 7 end subscript 21 end fraction
log721log75
, fraction numerator log subscript 7 end subscript 21 over denominator log subscript 7 end subscript 5 end fraction,
log217log57
, fraction numerator log subscript 21 end subscript 7 over denominator log subscript 5 end subscript 7 end fraction,
log57log217
Answer: log7 21 / log7 5
I took one for the team and guessed, and got it right.
You are welcome future students.
The expression that correctly shows how to rewrite the logarithm \(\log_5{21}\), using a logarithm of base 7, with change of base, is given as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
How to change the base of a logarithm?To change the base of a logarithm, a new fraction is written, in which:
The numerator is the logarithm of the new base of the number that the previous logarithm was calculated.The denominator is the logarithm of the new base of the base of the previous logarithm was calculated.In this problem, the logarithm that will be calculated is:
\(\log_5{21}\)
Hence the number and the base of the logarithm are presented as follows:
The number is of 21.The base is of 5.With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:
Numerator: \(\log_7{21}\)Denominator: \(\log_7{5}\)Hence the simplified logarithm is presented as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
Meaning that the correct option is the second option.
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A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Suppose that b and c are points on the number line . if bc = 10 and b lies at 3 , where could c be located?
Find the length of mAB using the figure below
(please see photo)
Answer:
5
Explanation:
Look at the number line and count the number of increments needed to get from point A to B.
5 (units) is the answer
Step-by-step explanation:
-2 is point A
3 is point B
Find the absolute value then add
|-2| + |3| = 5
There's our answer, 5! Or the second choice
solve the equation x to the power of 2 = 10
Answer:
The answer is √10,−√10 (award brainliest)
Step-by-step explanation:
Take the root of both sides and solve.
Exact Form: x = √10,−√10
Decimal Form: x = 3.16227766...,−3.16227766...
for more detailed explanation comment down below this post and ask
Joseph has $11.30 in dimes and quarters. The number of dimes is three more than three
times the number of quarters. How many of each type of coin are there? State the unknown
variable/expression, write the equation, and write your answer in a complete sentence.
Answer:
y=3x+11.30
Step-by-step explanation:
Haley makes a total of $400 a part-time job over a two week period. The first week she makes $20 more than her second weeks paycheck. How much money did she make each week
Answer: on the first week she earned 220$ and on the second week she earns 200$
Step-by-step explanation: Haley makes a total of 400$ in a week. divided by 2 would equal 200$ each. but Haley made an extra 20$ in the first week. so, 200$+20$=220$.And the two combined is 420$.
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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14 POINTS!!
Which model represents the product 6 x 3/4?
Answer:
Bottom right
Step-by-step explanation:
Answer: bottom right!!
Step-by-step explanation
Please help me with this
Answer:
z = 99
Step-by-step explanation:
\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )
\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )
z = 99
Which of the following is a statistical question that can result in numerical data? What is your favorite television show that you watched this week? What is the name of the doctor at Healthy Kids Pediatrics? How many students at your school have a skateboard? What store in the mall are you most likely to purchase apparel from?
Answer:
All of the above, except for 'What is the name of the doctor at Healthy Kids Pediatrics?'
Step-by-step explanation:
What is your favorite television show that you watched this week? - If we define your favourite show as that which you watched most, you could gather data here on time spent watching each show to determine the answer
What store in the mall are you most likely to purchase apparel from? - Similar to before, data on your previous trips to the mall could be gathered to determine which stores you have been to the most often, and using this make a prediction of the most likely you are to purchase apparel from
How many students at your school have a skateboard? - Here data could be gathered by asking which students have a skateboard and which do not
What is the name of the doctor at Healthy Kids Pediatrics? - This question only has an answer, and it would be the name of the doctor
Answer:
How many students at your school have a skateboard?
Step-by-step explanation:
Since it is asking multiple people it can result in data. It can't result in data if it asks just one question to someone
if <1 measures 110 degrees, what other angles will also measure 110
degrees?
Check all that apply.
Let's check the congruency
<1=<4(Opposite angles)<1=<5(Corresponding angles)<1=<8(<4 and <8 are corresponding angles)Hence
<4,<8,<5 will also measure 110°PLEASE ANSWER ASAPP!!!
For what value of y must LMNP be a parallelogram?
Answer:
113° = y
Step-by-step explanation:
y = 180 - 67
y = 113°
Hope this helps!