Answer:
x = -11
Step-by-step explanation:
Well the two equations add up to 180 because they are a linear pair.
x + 56 + x + 146 = 180 (collect like terms)
2x + 202 = 180 (subtract 202 on both sides)
2x = -22 (divide by 2 on both sides)
x = -11
Hope this helps ya!!
Griffin ordered a pair of sneakers online. He had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $65, how much did Griffin charge to his credit card when he bought the sneakers?
Answer:$43
Step-by-step explanation:
65 -22 =43
Which expresses 9x^2y^2 as a perfect square?
Answer: Choice B
(3xy)^2 = (3xy)*(3xy) = (3*3)*(x*x)*(y*y) = 9x^2y^2
hello help please
Express
\( \frac{3}{5} \)
of a right angle triangle to radian measure and can some anybody help me by looking one old question from my profile help please
a right angle is 90°, or 1/4 of a circle.
3/5 * 1/4 = 3/20
radian measure is the length of the circumference of this part of the circle.
a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r
now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:
6/20 rad * r
= 3/10 rad * r
of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will
Answer:
\(\frac{3\pi }{10}\)
Step-by-step explanation:
To express degrees in radians
radian measure = degree measure × \(\frac{\pi }{180}\)
\(\frac{3}{5}\) of a right angle
= \(\frac{3}{5}\) × 90° = 54° , then
radian = 54 × \(\frac{\pi }{180}\) = \(\frac{54}{180}\) × π = \(\frac{3}{10}\) × π = \(\frac{3\pi }{10}\)
ow many groups of
1
5
5
1
start fraction, 1, divided by, 5, end fraction are in
4
44?
By the calculations below, there are 20 groups of 1/5 in 4.
Division of Fractions: Finding GroupsTo find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:
4 ÷ 1/5
To find the reciprocal of 1/5, we flip the fraction:
1/5 → 5/1
Now, we can rewrite the division problem as multiplication:
4 ÷ 1/5 = 4 × 5/1
Multiplying across gives:
4 × 5/1 = 20
Therefore, there are 20 groups of 1/5 in 4.
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Two supplementary angles. One angle is 35 more than the second angle, find the measure of the second angle. The measure of the second angle is
degrees
Answer: 72.5 degrees
Step-by-step explanation: Call smaller angle x, so larger angle is x+35, so 2x+35=180, subtract 35 from both sides, 2x=145, so x=72.5! I hope this helps you
What percentage of the floor has been covered in tile? A. 14% B. 28% C. 56% D. 70%
Answer:
Answer down below!
Step-by-step explanation:
We have 25 squares in total, and 14 of them are fill, we can figure out it's percentage with division
25/14 = 0.56
We can do 0.56 *100 to get the percentage!
Which that will give you 56%
what is the value of x??
Answer:
16
Step-by-step explanation:
The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.
David has half as many pictures on his i-Phone as his wife Nicky does. Together they have a total of 147 pictures on their i-Phones. How many pictures does Nicky have on her i-Phone and how many pictures does David have on his i-Phone?
Answer:
the conjuring is the first thing that I did to the first lady of the WORLD that the WORLD that
Nicky has 98 photos and Daniel has 49 photos on his i-phone
How to determine the number of pictures?Represent David with D and Nicky with N.
So, we have:
D + N = 147
D =0.5N
Substitute D =0.5N in D + N = 147
0.5N + N = 147
Evaluate the sum
1.5N = 147
Divide both sides by 1.5
N = 98
Substitute N = 98 in D =0.5N
D =0.5 * 98
Evaluate
D =49
Hence, Nicky has 98 photos and Daniel has 49
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Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
1/3+1/2=1/t
How long will it take Ted and Jacob to clear the field together?
Ted can clear a football field in 3 hours, while Jacob can clear it in 2 hours. When they work together, the time it takes to clear the field can be determined by solving the equation 1/3 + 1/2 = 1/t.
Let's consider the equation 1/3 + 1/2 = 1/t, where t represents the number of hours it would take Ted and Jacob to clear the field together. To solve for t, we need to find a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 3 and 2 is 6.
By multiplying the first fraction by 2/2 and the second fraction by 3/3, we can rewrite the equation as (2/6) + (3/6) = 1/t. This simplifies to 5/6 = 1/t.
To isolate t, we can take the reciprocal of both sides, giving us t/1 = 6/5. Cross-multiplying, we find t = 6/5 = 1.2.
Therefore, it will take Ted and Jacob 1.2 hours (or 1 hour and 12 minutes) to clear the football field together.
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Petra buys a pair of jeans for ${{var:Addend1}} and a T-shirt that costs ${{var:Addend2}}. How much does Petra spend?
The total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt is equal to $34.79.
Given the following data:
Cost of a pair of jeans = $28.39.Cost of a T-shirt = $6.40.To determine how much Petra spend:
In this exercise, you're required to calculate the total amount of money that was spent by Petra in the purchase of a pair of jeans and a T-shirt.
Hence, we would sum up the cost of each of the items to determine the total cost.
\(Total \;cost=Cost\;of\;jean + Cost\;of\;Tshirt\\\\Total \;cost=28.39+6.40\)
Total cost = $34.79
Complete Question:
Petra buys a pair of jeans for $28.39 and a T-shirt that costs $6.40. How much does Petra spend?
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Please help! It's Urgent Is this correct???
yee------ Good job! Gotta write more then 20 characters >:/
Answer:
i believe so
Step-by-step explanation:
What is the amplitude of the graph of y = 4sin3(x - 2)?
a. 2
b. 4
c. 3
d. 1
The amplitude of the graph of y = 4sin3(x - 2) is 4.
The amplitude of a sine or cosine function is the absolute value of the coefficient in front of the sine or cosine term. The general form of a sinusoidal function is y = A sin(B(x - C)) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift. In the given function y = 4sin3(x - 2), the amplitude is 4, which is the coefficient of the sin function. Therefore, the amplitude of the graph is 4.
Thus, the amplitude of the graph of y = 4sin3(x - 2) is 4.
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Write
0.012
as a fraction in simplest form.
Answer 3/250
Step-by-step explanation:
Its in simplest form
Let X represent a binomial random variable with n=400 and p=0.8. Use Excel's function options to find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a P(X=330) = _____
b P(X>340) = _____
c P(335≤X≤345) = _____
d P(X=300) = _____
a) P(X=330) is approximately 0.0002. b)P(X>340) is approximately 0.0294. c) P(335≤X≤345) is approximately 0.6415. d) P(X=300) is approximately 0.0004 of given probabilities
To find the probabilities using Excel's function options, we can use the binomial distribution function, which is provided as BINOM.DIST in Excel.
a) P(X=330):
=BINOM.DIST(330, 400, 0.8, FALSE)
The first argument is the specific value (330), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.
The result is approximately 0.0002.
Therefore, P(X=330) is approximately 0.0002.
b) P(X>340):
=1 - BINOM.DIST(340, 400, 0.8, TRUE)
Since we want the probability of X being greater than 340, we can subtract the cumulative probability of X up to 340 from 1. We use the TRUE argument to indicate that we want the cumulative probability.
The result is approximately 0.0294.
Therefore, P(X>340) is approximately 0.0294.
c) P(335≤X≤345):
=BINOM.DIST(345, 400, 0.8, TRUE) - BINOM.DIST(334, 400, 0.8, TRUE)
To find the probability of X being between 335 and 345 (inclusive), we subtract the cumulative probability of X up to 334 from the cumulative probability of X up to 345.
The result is approximately 0.6415.
Therefore, P(335≤X≤345) is approximately 0.6415.
d) P(X=300):
=BINOM.DIST(300, 400, 0.8, FALSE)
The first argument is the specific value (300), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.
The result is approximately 0.0004.
Therefore, P(X=300) is approximately 0.0004.
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T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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I NEED HELP QUICKLY for both X
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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Can someone help me out on this math problem?
1 ,3, 1
The first one is 1 the second is 3 and the last one is 1
Zoe is decorating the outside of a box in the shape of a triangular prism. The figure
below shows a net for the box.
15 ft
12 ft
12 ft
17 ft
13.89 ft
13.89 ft
What is the surface area of the box, in square feet, that Zoe
decorates?
The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
The surface area of the boxTo determine the surface area from the net of the box, we simply calculate the area of each shape.
From the given figure, we have the following shapes and dimensions:
Rectangles: 15 ft by 12 ft and 13.89 ft by 15 ftTriangle: Base = 12 ft and Height= 7 ftThe area is then calculated using:
Area = Areas of the rectangle + Area of the triangle
So, we have:
Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7
Evaluate the sum of products
Area = 430.35
Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet
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Answer:577.35 square feet
Step-by-step explanation:
♀️
Tori received $28.50 for 2 hours of work. How
much did she earn if she worked 15 hours?
Answer:
Hey! I hope this helps. I used ratio, I divided $28.50 by 2 to find out how much she worked for in an hour then I multiplied by 15.
meeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
See attached. ∠A is a right angle, ∠B and ∠D are acute, ∠C is obtuse.
Step-by-step explanation:
A right angle is defined as an angle equal to 90 degrees.
An acute angle is defined as an angle less than 90 degrees.
An obtuse angle is defined as an angle greater than 90 degrees.
Using this information we will classify all of the four given angles.
∠A is a right angle, 90 = 90
∠B is acute angle, 60 < 90
∠C is obtuse angle, 160 > 90
∠D is acute angle, 70 < 90
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
\(\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m\)
Therefore, the vertical distance through which the car rises is 16.7 m
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Please help!! I completely forgot how to do this and please show your work
Answer:
12c-30
Step-by-step explanation:
6(2c-5)
12c-30
..........
Answer:
6(2c-5)
multiple the 6 on both numbers
12c-30
4. Eva and Archer, the Magnificent Math Kitties are wanting to find the coefficients a, b, and c so that the graph of f(x) = ar' +br + c passes through the points (1,2), (-1,6), and (2,3). Eva says we can set up a system of equations to solve this problem, but Archer says that we can't since we have a quadratic function and not a linear function? Who is right? If Eva is correct, set up and use Gaussian Elimination to solve this augmented matrix. Hint: Eva is usually correct.
a = -1, b = 4, and c = 3.
Eva is correct - we can use Gaussian Elimination to solve this problem.
To solve this problem, we must first create an augmented matrix of the system of equations. We can do this by taking the equation f(x) = ar' + br + c and plugging in each of the given points, resulting in:
[1 2 a+b+c]
[-1 6 -a+b+c]
[2 3 2a+b+c]
Now, we can use Gaussian Elimination to solve this augmented matrix.
First, we'll eliminate the variable c from the first and second row by subtracting the first row from the second row, and the variable a from the first and third row by subtracting twice the first row from the third row.
We end up with this augmented matrix:
[1 2 a+b+c]
[0 8 -2a+2b+2c]
[0 -3 0]
Next, we'll eliminate the variable b by subtracting the second row from the third row.
This results in our final augmented matrix:
[1 2 a+b+c]
[0 8 -2a+2b+2c]
[0 0 -a]
We can now read off the coefficients: a = -1, b = 4, and c = 3.
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Which set of numbers can represent the side lengths, in ce
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
15, 18, 20
What’s the answer
Answer:
23 cuz it's like a parten
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!!
1. A man whose height is 1.8 m casts a shadow that is 2.9 m in length. What is the height of a building that casts a shadow of 11.3 m?
(1 PICTURE)
A) 8 m
B) 6 m
C) 5 m
D) 7 m
2. Given the diagram below, find the height of the shorter tree. (SECOND PIC)
A) 12 m
B) 10 m
C) 16 m
D)14 m
Answer:
D and B
Step-by-step explanation:
These are similar triangle problems. You can divide the corresponding sides to find the ratio, and apply it to all of the triangle's sides.
Q1
h = 11.3/2.9*1.8 = 7.0137931
Q2
h = 5/25*50 = 10
Point A is located at (-2, 2). Point B is located at (-2, 0). What is the distance between point A and point B ?
Answer:
2
Step-by-step explanation:
Both point a and b have an x value of -2 so to find the distance between the two points we simply have to find the horizontal distance. We can do this by subtract the y value of the first point by the y value of the second point.
Point A y value : 2
Point B y value : 0
Distance between Point A and Point B : 2 - 0 = 2 units
370 is the quotient of 70 and b as a equation
The equation of the statement is 370 = 70/b
How to express the statement as an equation?From the question, the statement is given as
370 is the quotient of 70 and b
In mathematics and algebra, the term "quotient" means divide
So, we have
370 is the quotient of 70 and b => 370 is 70 divides b
Express as quotient
This is represented as
370 is the quotient of 70 and b => 370 is 70/b
Lastly, we have
370 is the quotient of 70 and b => 370 = 70/b
Hence, the equation is 370 = 70/b
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Please help me with question 2 with explanation u will get 50 points thanks !!
determine the global extreme values of the fuction f(x,y) = 4x^3 4x^2y 5y^2
The global extreme values of the function \(f(x,y) = 4x^3 + 4x^2y + 5y^2\) are a minimum of -1600/729 at (-10/9,20/27) and a maximum of 21875/256 at (5/2,-25/8).
How to find the global extreme values of the function f(x,y)?To determine the global extreme values of the function \(f(x,y) = 4x^3 + 4x^2y + 5y^2\), we need to find the critical points of the function and then check the values of the function at these points and at the boundary of the region where we are interested in finding the extreme values.
To find the critical points, we need to find where the partial derivatives of the function are zero or undefined:
\(\partial f/ \partial x = 12x^2 + 8xy\)
\(\partial f/ \partial y = 8x^2 + 10y\)
Setting these partial derivatives equal to zero, we get:
\(12x^2 + 8xy = 0 -- > 4x(3x+2y) = 0\)
\(8x^2 + 10y = 0 -- > 4x^2 + 5y = 0\)
These equations are satisfied by either x = 0 or \(y = -4x^2/5, or 3x+2y = 0\) and \(4x^2+5y = 0.\) Solving for these values gives us the critical points: (0,0), (-10/9,20/27), and (5/2,-25/8).
Next, we need to check the values of the function at these critical points and at the boundary of the region where we are interested in finding the extreme values.
The region of interest is not given, so we assume it to be the entire xy-plane.
At the critical point (0,0), we have f(0,0) = 0.At the critical point (-10/9,20/27), we have f(-10/9,20/27) = -1600/729.At the critical point (5/2,-25/8), we have f(5/2,-25/8) = 21875/256.Now, we need to check the boundary of the region. The boundary can be divided into four parts: x = 0, x = 1, y = 0, and y = 1.
However, since the function has no restrictions on x and y, there is no boundary. Therefore, the global maximum and minimum occur at the critical points.
The global maximum occurs at the critical point (5/2,-25/8), where f(5/2,-25/8) = 21875/256.The global minimum occurs at the critical point (-10/9,20/27), where f(-10/9,20/27) = -1600/729.Therefore, the global extreme values of the function \(f(x,y) = 4x^3 + 4x^2y + 5y^2\) are a minimum of -1600/729 at (-10/9,20/27) and a maximum of 21875/256 at (5/2,-25/8).
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HELP I SUCK AT MATH HELP ASAP PLZZZ!!! GIVING BRIANLIEST AND POINTS.
Henry is starting a t-shirt printing business and plans on selling each shirt for $30, with his cost being $8 per shirt. The equipment will cost $1200.
Henry orders 600 shirts and determines that the profit for his new business is modeled by the function p = 22x - 1200. What is the range of this function in this context?
A) {0 ≤ p ≤ 500}
B) {0 ≥ p ≥ 500}
C) {-1,200 ≤ p ≤ 2,000}
D) {-1,200 ≤ p ≤ 12,000}
Answer:
isD
Step-by-step explanation:
Answer:
D) {-1200 < p < 12,000}
Step-by-step explanation:
have a good day