The value of x when cos(28°) = x/4 is found by solving the equation, leading to x = 3.53 to three significant figures. This involves basic trigonometry and arithmetic operations.
Explanation:If cos(28°) = x/4, we are asked to find the value of x to three significant figures. This type of problem involves trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. To solve for x, we use the equation given and manipulate it to isolate x.
Given that cos(28°) = x/4, we can find x by multiplying both sides of the equation by 4:
x = 4 * cos(28°)Using a calculator, cos(28°) approximately equals 0.8829. Therefore, x is equal to 4 * 0.8829, which simplifies to:
x = 3.5316To three significant figures, x = 3.53.
In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.
a golf pro shop sells two types of shirts, the first for 100$ each and the other for 60$ each. last month the shop sold 50 of these shirts for a total of 4600$ how many 100$ shirts did they sell?
Hector spent 3/4 of his money the day after he cashed his paycheck of $50. Let m represent the amount of money Hector spent.
Which equation matches the word problem?
How much money did Hector spend?
Answer:
3/4(50)=m and $37.50
Step-by-step explanation:
i just did it and got it right
The equation for this word problem is m = (3/4) * 50 and Hector spent $37.5 from his money.
Data;
Paycheck = $50Fraction spent = 3/4 of 50What is an Equation?This is a mathematical statement used to express word problem in order for us to solve it algebraically.
In this question, he spent 3/4 of his money.
His paycheck is $50 and the amount he spent is m
The equation to represent this will be
[tex]m = \frac{3}{4}* 50[/tex]
Let's simplify this and solve for m
[tex]m = \frac{3}{4} * 50\\m = \frac{3}{4}* 50\\ m = 75/2 \\m = 37.5\\[/tex]
Hector spent $37.5 from his money.
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For what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Write the first four terms in the multiplication pattern given by the formula:
10 · 5n
what is the answer to 4d + 6 = 42
Which of the following describes the polynomial function?
Answer:
The function has an odd degree
Step-by-step explanation:
Edge 2020
Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?
Determine which of these illustrates two quantities that combine to make 0. A) Latanya lost ten pounds and then gained six pounds. B) A business's profit if its income is more than its expenses. Eliminate C) It is twenty degrees below zero and then the temperature rises ten degrees. D) Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
Maria wrote the equation log(x/2)+log(20/x^2)=log8. What is the solution to Maria's equation?
a. x=3/10
b. x=4/5
c. x=5/4
d. x10/3
Answer:
C. x=5/4
Step-by-step explanation:
Correct answer on edge 2022
You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this month are $178.50. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation
Answer:
The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]
Step-by-step explanation:
Let 'x' represent the number of hours worked stocking shelves
Let 'y' represent the number of hours worked in sales.
You earn $11.90 per hour as a salesperson i.e. 11.90y.
You earn $10.50 per hour stocking shelves i.e. 10.50x.
Your combined earnings this month are $178.50.
i.e. [tex]10.50x+11.90y= 178.50[/tex]
The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]
To plot the graph we find x and y intercept,
For x-intercept put y=0,
[tex]10.50x+11.90(0)= 178.50[/tex]
[tex]x=\frac{178.50}{10.50}[/tex]
[tex]x=17[/tex]
Point is (17,0).
For y-intercept put x=0,
[tex]10.50(0)+11.90y= 178.50[/tex]
[tex]y=\frac{178.50}{11.90}[/tex]
[tex]y=15[/tex]
Point is (0,15).
Refer the graph attached below.
Which question is statistical?
How old is my grandmother?
What is the average age of my friends?
What are the ages of my friends' grandparents?
Where did you celebrate your last birthday?
Answer:
The answer is actually What are the ages of my friends grandparents. Trust me i took the test on k12.
Step-by-step explanation
In the following function defined by an equation in the form y=ax^2+bx+c, identify the values of a, b, and c. y=-2x^2
a) A=-2, b=0, c=0
b) a=-2, b=-2, c=-2
c) a=0, b=-2, c=0
d) a=0,b=0, c=-2
In the quadratic function y = -2x^2, the values of the coefficients a, b, and c are -2, 0, and 0, respectively.
Explanation:In the quadratic equation y = ax^2 + bx + c, the coefficients a, b, and c represent specific values that dictate the curve's shape and position. Given the equation y = -2x^2, we can compare it to the standard form to determine its coefficients. It is evident that a is -2, b is 0 since there is no x-term, and c is also 0 because there is no constant term. Therefore, the correct answer is a=-2, b=0, c=0, which corresponds to option a.
The mean is always one of the data values
Jason and Donny painted a room and received $300. To complete the painting job Jason spent 4 hours and 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $300 in proportion to the time each spent painting, how much did Donny receive?
Donny spent 2.25 hours painting, while Jason spent 4.4167 hours. The total time spent was 6.6667 hours, and Donny's percentage of this time was approximately 33.75%. Therefore, Donny received $101.25 of the $300 payment.
To determine how much Donny received from the $300 for the painting job, we first need to calculate the total amount of time Jason and Donny spent painting, then divide the total earnings based on the proportion of time spent. Jason spent 4 hours and 25 minutes, which is equivalent to 4.4167 hours (4 hours and 25 minutes / 60 minutes). Donny spent 2 hours and 15 minutes, which is equivalent to 2.25 hours (2 hours and 15 minutes / 60 minutes).
The total time spent on the painting job is the sum of Jason's time and Donny's time, which is 4.4167 + 2.25 = 6.6667 hours. The proportion of time Donny spent is 2.25 hours / 6.6667 total hours, which equals approximately 0.3375 (or 33.75%).
Therefore, Donny's share of the $300 is 0.3375 * $300, which equals $101.25. As a result, Donny received $101.25 for his part of the painting job.
What is 500,000,115 written in standard form
how can you use place -value blocks and a hundred chart to show the number that is ten more than 43? what is the number
The number that is ten more than 43 is 53
Represent the number with x.
A number x that is 10 more than 43 is then calculated using the following equation
x - 43 = 10
Add 43 to both sides of the equation
x - 43 + 43 = 10 + 43
Evaluate the sums
x = 53
Hence, the number that is ten more than 43 is 53
See attachment for the place value blocks
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To find the number ten more than 43, use place-value blocks by adding a tens block to the existing four tens and three ones blocks to get 53. On a hundred chart, locate the number 43 and move one row down to arrive at 53, which is ten more than 43.
Explanation:The question asks how to use place-value blocks and a hundred chart to show the number that is ten more than 43. To illustrate this using place-value blocks, you would start with 4 tens blocks and 3 ones blocks to represent the number 43. Then, you would add one more tens block to represent the addition of ten. After adding this block, you would have a total of 5 tens blocks and 3 ones blocks, which represents the number 53.
On a hundred chart, first find the number 43. Then, since each row on a hundred chart represents ten numbers, you would move one row down to find the number that is ten more than 43. This would take you to the number 53, which is directly below 43 on the chart.
Therefore, the number that is ten more than 43 is 53.
Warehouse area is 100 ft long, 200 ft wide and 16 feet high. The total weight the warehouse floor can hold is 4000 tons. What is the safe floor load in pounds per square foot?
given abcd ac = 22 and ae= 2x-5 find the value of x
The answer to this question is x=8... APEX
If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?
Which polynomial represents the difference below? 7x8 + 8x6 - 2x + 9 - (4x8 + 3x7 + 3)
Consider the difference of polynomials [tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3).[/tex]
The first thing you have to do is take that "minus" sign through the parentheses containing the second polynomial (just change sign + to - and sign - to +):
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=7x^8+8x^6-2x+9-4x^8-3x^7-3.[/tex]
Then combine terms with the same degree:
[tex]7x^8+8x^6-2x+9-4x^8-3x^7-3=(7x^8-4x^8)-3x^7+8x^6-2x+(9-3).[/tex]
Note that
[tex]7x^8-4x^8=(7-4)x^8=3x^8,\\ \\9-3=6.[/tex]
Thus,
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=3x^8-3x^7+8x^6-2x+6.[/tex]
s the data set “types of fruit at the grocery store” qualitative or quantitative? If it is quantitative, is it discrete or continuous?
Answer:
Quantitative and discrete
Step-by-step explanation:
Given that the data set consists of types of fruit at the grocery stores. We can see that the types of fruits at the grocery stores is countable. i.e. we can have a one to one correspondence with type of fruits and natural numbers. Hence the variable is discrete.
It will in numerical numbers so it is quantitative.
Put together we can say that “types of fruit at the grocery store”
is a
i) quantitative variable
ii) discrete
find × if m<1=2×+10 and m<2=3×-6
Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how old are Ryan and Brandon? (Please show work)
Ryan ________
Brandon ________
Answer:
Brandon is 13 and Ryan is 6 and 1/2
Step-by-step explanation
Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards
Answer:
$55
Step-by-step explanation:
Put 8 where n is in the equation and do the arithmetic.
cost = $6.50·n + 3
= $6.50·8 + 3 = $52 + 3
cost = $55
Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?
Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.
To sketch the region, find the intersection points and use them to form a triangle. The centroid is found by taking the average of the x and y values of the vertices.
Explanation:To sketch the region bounded by the curves y=3x^3, x+y=4, and y=0, we first need to find the x-coordinates of the points where the curves intersect. Setting the equations equal to each other, we get 3x^3 + x = 4. Solving for x, we find x = 1. The region bounded by the curves is a triangle with the vertices (0,0), (1,0), and (1,3).
To find the coordinates of the centroid, we first find the x-coordinate by taking the average of the x-values of the vertices: (0 + 1 + 1)/3 = 2/3. Next, we find the y-coordinate by taking the average of the y-values of the vertices: (0 + 0 + 3)/3 = 1. So, the coordinates of the centroid are (2/3, 1).
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Horatio weighs three times as much as Kimberly, and together they weigh a total of 95 kilograms. If h represents Horatio's weight, and k represents Kimberly's weight, which system of equations could you use to determine how much each weighs?
To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Explanation:To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Let h represent Horatio's weight and k represent Kimberly's weight.
We are told that Horatio weighs three times as much as Kimberly:
h = 3k
We are also told that together they weigh a total of 95 kilograms:
h + k = 95
These two equations form a system of equations. We can solve the system by substituting the value of h from the first equation into the second equation:
3k + k = 95
Combining like terms, we get:
4k = 95
Dividing both sides by 4, we find:
k = 23.75
Substituting this value back into the first equation, we find:
h = 3(23.75) = 71.25
Therefore, Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.
Final answer:
The equations h = 3k and h + k = 95 can be used to determine the individual weights of Horatio and Kimberly. Solve for one variable and substitute to find the other.
Explanation:
The system of equations to determine how much Horatio and Kimberly weigh, given that Horatio weighs three times as much as Kimberly and together they weigh a total of 95 kilograms, can be represented by:
h = 3k (Horatio weighs three times as much as Kimberly)
h + k = 95 (Together, Horatio and Kimberly weigh 95 kilograms)
To solve for their individual weights, substitute the expression 3k for h in the second equation and solve for k. Once k is found, multiply it by 3 to find h. This process is part of addition in kilograms and uses equations to find the total sum of weights.
Chen can jump rope 60 times a minute at that rate how many jumps can he make in 9 minutes
Hiker's rate is 6 mph, which is 3 11 of the bicycle's rate. How fast do they move towards each other? How fast do they get closer if the bicyclist catching up with the hiker?
Answer:
there is like 5 other answered of this same problem
Step-by-step explanation: