can someone please explain?
Show that the point (7/25, 24/25) is on the unit circle
To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.
Explanation:To show that the point (7/25, 24/25) is on the unit circle, we need to demonstrate that its distance from the origin is equal to 1.
The distance between two points, (x1, y1) and (x2, y2), is given by the formula: √((x2-x1)² + (y2-y1)²).
In this case, the distance between the point (7/25, 24/25) and the origin (0, 0) can be calculated as: √((7/25-0)² + (24/25-0)²) = √((49/625) + (576/625)) = √(625/625) = 1.
Since the distance between the given point and the origin is indeed equal to 1, we can conclude that the point is on the unit circle.
An open box with a volume of 1500 cm cube is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of side length x cm from each corner, and folding up the sides. Find the exact dimensions of the box.
What is the circumference of a circle whose area is 121 pi square meters?
If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?
(Do not include units in your answer.)
Answer:
14 questions.
Step-by-step explanation:
We have been given that your teacher tells you to do questions 28 through 41 in your math book for homework. We are asked to find he total number of questions.
Since we need to solve questions 28 through 41, this means we have to solve question number 28 and 41 as well.
We know that 28-37 would be 10 questions and 38-41 would be 4 questions.
[tex]\text{Total questions}=10+4[/tex]
[tex]\text{Total questions}=14[/tex]
Therefore, you need to solve 14 questions to complete the homework.
Solve the system by substitution.
2x - y + z = -4
z = 5
-2x + 3y - z = -10
Answer: a
Step-by-step explanation: that person coulda said that
Find the missing number in this proportion.
7 / 35 = ? / 28
To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. The missing number is 5.6.
Explanation:To find the missing number in the proportion 7 / 35 = ? / 28, we can use the concept of cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and then setting the two products equal to each other. In this case, we have 7 * 28 = ? * 35. Solving for the missing number, we get:
So, the missing number is 5.6.
What is the general term for the sequence 1,6,11,16,...?
n + 5
5n - 4
5n + 1
Answer:
Step-by-step explanation:
The given sequence is:
1,6,11,16,...
Since, the sequence is Arithmetic progression, therefore
The general term for the sequence is:
[tex]A_{n}=a+(n-1)d[/tex]
where a is the first term of the sequence and d is common difference.
Substituting the given values, we get
[tex]A_{n}=1+(n-1)5[/tex]
[tex]A_{n}=1+5n-5[/tex]
[tex]A_{n}=5n-4[/tex]
which is the required general term.
Thus, option B is correct.
Which of the following is the best estimate for the capacity of a bottle of salad dressing?
1 fl oz
1 gal
1 pt
I'm just having trouble picturing a bottle of salad dressing... I don't use it that often. ...?
Answer:
1 gal
Step-by-step explanation:
Simplify by combining like terms step by step
- (3x - 4y) + x
Solve each formula for the indicated variable. step by step
h = vt -5t^2 , for v
If 3x-1=11, then 2x=?
To find 2x, we first need to solve for x in the equation 3x - 1 = 11. We isolate x by adding 1 to both sides and divide by 3 to obtain x = 4. Finally, multiplying x by 2 gives us 2x = 8.
Explanation:To solve the equation 3x - 1 = 11 for 2x, we need to isolate x first. Adding 1 to both sides, we get 3x = 12. Dividing both sides by 3, we find that x = 4. Now, to find 2x, we simply multiply x by 2, which gives us 2(4) = 8.
Learn more about Solving Equations here:https://brainly.com/question/14410653
#SPJ2
Abcd is a rectangle. Find the length of each diagonal. .AC= 3y/5 BD=3y-4
Answer:
AC = BD = 1 unit
Step-by-step explanation:
Given : length of diagonal of rectangle ABCD [tex]AC=\frac{3y}{5}[/tex] and [tex]BD=3y-4[/tex]
We have to find the length of diagonal.
We know In rectangle diagonal are of equal lengths.
Therefore, for rectangle ABCD diagonals AC= BD
Substitute the values, we get,
[tex]\frac{3y}{5}=3y-4[/tex]
Cross multiply , we get
[tex]3y=5(3y-4)[/tex]
On simplyfy , we get
[tex]3y=15y-20[/tex]
Solve for y , we get
[tex]15y-3y=20[/tex]
[tex]12y=20[/tex]
Divide both side by 12, we get,
[tex]y=\frac{20}{12}=\frac{10}{6}[/tex]
Thus, put the values of y in AC and BD to find the length of diagonals , we get,
[tex]AC=\frac{3y}{5}=\frac{3}{5}\times\frac{10}{6}=1[/tex]
Similarly for BC, we get,
[tex]BD=3y-4=3(\frac{10}{6})-4=5-4=1[/tex]
Thus, AC = BD = 1 unit
NEED YOUR HELP!! I WILL UPVOTE!
Combining Like Terms:
Solve the equations by combining like terms. Show all the steps.
Then write two of your own problems where you combine like terms. Show all steps, as well as your solution.
1. 16x − 4x = -48
The number 72 is between what two perfect squares? Enter a numerical answer only.
Find the area of a regular hexagon with the given measurement.
2 sqrt3 apothem
A =
...?
Answer:
41.57 unit²
Step-by-step explanation:
We know,
Area of a regular hexagon = [tex]3\times (sidelength)\times (apothem)[/tex].
The length of the apothem = [tex]2\sqrt{3}[/tex] units.
Since, we know, 'a regular hexagon splits into 6 identical equilateral triangles'.
As, the apothem of the regular hexagon = height of the equilateral triangle
So, height of the equilateral triangle = [tex]2\sqrt{3}[/tex] units.
As, in the equilateral triangle, 'One of the side length is the S, other will be [tex]\frac{S}{2}[/tex] and height is [tex]2\sqrt{3}[/tex] units'.
So, using Pythagoras Theorem, we have,
[tex]hypotenuse^{2}=perpendicular^{2}+base^{2}[/tex]
i.e. [tex]S^{2}=(\frac{S}{2})^{2}+(2\sqrt{3})^{2}[/tex]
i.e. [tex]S^{2}=\frac{S^2}{4}+12[/tex]
i.e. [tex]S^{2}-\frac{S^2}{4}=12[/tex]
i.e. [tex]\frac{3S^2}{4}=12[/tex]
i.e. [tex3S^2=48[/tex]
i.e. [texS^2=16[/tex]
i.e. S= 4 units
That is, the side length of the hexagon = 4 units.
Thus, the area of the hexagon is given by,
Area of a regular hexagon = [tex]3\times (4)\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]12\times (2sqrt{3})[/tex]
i.e. Area of a regular hexagon = [tex]24sqrt{3}[/tex]
i.e. Area of a regular hexagon = 41.57 unit²
Hence, the area of the regular hexagon is 41.57 unit².
The sales tax rate in jans town is 7.5.if she buys 3 lamps for $23.59 each and a sofa for $769.99 , how much sales tax does she own ?
The perimeter of dawna's new flat screen television is 70 inches. the ration from length to width is 4:3. write and solve an algebraic equation to determine the dimensions of the television
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card
(State wether the graph of the linear relationship is a solid line or a set of unconnected points.
Find the area of the region. Use a graphing utility to verify your result.
y = 6 sin(x) + sin(6x)
the graph goes from x=0 to x=pi ...?
To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval. Using a graphing utility, we can plot the function and verify the result.
Explanation:To find the area of the region defined by the function y = 6 sin(x) + sin(6x) from x = 0 to x = pi, we need to calculate the definite integral of the function over this interval.
Using a graphing utility, we can plot the function and verify the result. The integral will give us the area under the curve.
A graphing utility like Desmos or Wolfram Alpha can be used to plot the function and find the area under the curve.
If x =4 calculate the value of 2x squared - 5
find the nonpermissible replacement for the variable y in this expression (y^2)/(-3y+9) find the nonpermissible replacement for the variable y in this expression (y^2)/(-3y+9)
A triangle has side length of 14 cm 48 cm and 50 cm classify it as acute obtuse or right
The triangle with side lengths of 14 cm, 48 cm, and 50 cm is a right triangle.
Explanation:The lengths of the sides of the triangle are 14 cm, 48 cm, and 50 cm. To classify the triangle, we need to determine if it is acute, obtuse, or right.
Using the Pythagorean theorem, we can check if it satisfies the condition for a right triangle. If the square of the length of the longest side (50 cm) is equal to the sum of the squares of the other two sides (14 cm and 48 cm), then it is a right triangle.
In this case, (50)^2 = (14)^2 + (48)^2, which is true. Therefore, the triangle is a right triangle.
Final answer:
A triangle with side lengths of 14 cm, 48 cm, and 50 cm is classified as an acute triangle.
Explanation:
A triangle with side lengths of 14 cm, 48 cm, and 50 cm can be classified as an acute triangle.
To determine this, we need to check if the square of the longest side (50 cm) is less than the sum of the squares of the other two sides (14 cm and 48 cm).
502 < 142 + 482
2500 < 196 + 2304
2500 < 2500
This inequality is not true, so the triangle is not obtuse or right. Thus, it is classified as an acute triangle.
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
Answer:
B) $4
Step-by-step explanation:
find two consecutive odd integers whose sum is -88
A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 45 cm long by 72 cm high. The second poster measures 97.5 cm long by 156 cm high. Which of the following is true? (Hint: To be an accuarate representation of the painting, would the the poster be similar to the painting?)
I had the same thing. Please mark as Brainiest Answer.
Answer:
Both posters ARE accurate representations of the painting
Step-by-step explanation:
Gradpoint
Factor completely: 2x2 + 6x − 80
(2x − 5)(x + 8)
(2x − 10)(x + 8)
2(x − 5)(x + 8)
2(x − 10)(x + 8)
...?
Quadratic functions are functions that has a degree of 2. The factored form of the function is (2x-10)(x+8)
Factorization of functionsQuadratic functions are functions that has a degree of 2. Given the function below;
2x^2 + 6x - 80
Factorize
2x^2+16x - 10x - 80
Group
(2x^2+16x)-(10x+80)
Factor out the GCF
2x(x + 8)-10(x+8)
(2x-10)(x+8)
Hence the factored form of the function is (2x-10)(x+8)
Learn more on factoring here: https://brainly.com/question/25829061
#SPJ5
. SOMEONE PLEASE HELP ME?!?!
5. This is the Reed family budget. How much discretionary income does the family have each month?
Housing $800.00
Groceries $425.00
Utilities $285.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
$______
8. Paula created a monthly budget. A pie graph shows a clear picture of where her money is spent. How much of the circle would be shaded for the total of housing, utilities, food, and insurance?
Housing $500.00
Insurance $283.00
Food $225.00
Utilities $174.00
Miscellaneous $75.00
Transportation $64.00
Clothing $50.00
Medical $25.00
Savings $20.00
10. You are making a pie graph of the expenses in the Reed family budget. How much of the pie graph would be used to represent the amount spent on housing?
Housing $800.00
Utilities $285.00
Groceries $425.00
Miscellaneous $120.00
Transportation $150.00
Insurance $286.00
Savings $200.00
Healthcare $60.00
Clothing $50.00
Total Expenses $2,376.00
Net income $2,850.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
Total Expenses $1,416.00
A. half of the circle
B. less than half
C. over 75% of the circle
D. 50% to 75%
What does the inequality x + 3 ≤ 2 say?
A number and three is at most two.
A number and three is less than two.
A number and three is at least two.
A number and three is no less than two.
Answer:
A number and three is at most 3.
Step-by-step explanation:
isabella bought 1.1 kilograms of top quality hamburger meat at $5.00 per kilogram. how much did it cost?
The cost of 1.1 kilograms of hamburger meat at $5.00 per kilogram is $5.50
Multiply the weight of the meat (1.1 kg) by the price per kilogram ($5.00):
1.1 kg x $5.00/kg = $5.50.
Therefore, it cost Isabella $5.50 to buy 1.1 kilograms of top-quality hamburger meat.
Which function has the greatest y-intercept? (2 points)
f(x)
g(x)
h(x)
All three functions have the same y-intercept.
The function h(x) has the greatest y-intercept of 8, as it crosses the y-axis at the highest point.
Explanation:The function that has the greatest y-intercept is the one that crosses the y-axis at the highest value. The y-intercept is the point where the graph of a function intersects the y-axis, which is when x = 0. So, to find the function with the greatest y-intercept, we need to evaluate the y-value when x = 0 for each function.
Let's consider the functions f(x), g(x), and h(x). If f(x) has an equation of y = 3x + 5, g(x) has an equation of y = x - 2, and h(x) has an equation of y = -2x + 8, we can plug in x = 0 and see which function gives us the greatest y-value.
For f(x), when x = 0, y = 3(0) + 5 = 5. For g(x), when x = 0, y = 0 - 2 = -2. And for h(x), when x = 0, y = -2(0) + 8 = 8. Thus, h(x) has the greatest y-intercept because it crosses the y-axis at the highest point, which is 8.
Learn more about y-intercept here:https://brainly.com/question/29113022
#SPJ12
Angle ABD and angle BDE are supplementary. Find the measures of both angles.
m angle ABD =5x degrees, m angle BDE = (17x-18)degrees