1 ) Reflex AOB = 290°
2 ) x = 30°
2x = 2 × 30° = 60° and 3x = 3 × 30° = 90°
3 ) k = 48°
~ nightmare 5474~
Finding the area and perimeter
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
You walk along the edge of a park.
Then you take a shortcut,
represented by PQ on the graph.
What is the length of the shortcut in
meters? Round your answer to the
nearest whole meter, if necessary.
The distance between the two points is 93.9 units
How to calculate the distance between two pointsThe formula for calculating the distance between two points is expressed as:
\(D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)
Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:
\(D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units\)
Hence the distance between the two points is 93.9 units
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Answer:89.4
Step-by-step explanation:
Pls Help! Actually give a legit answer (NO LINKS!)
Answer:
unfortunately i cannot tell you the exact answers; however, i can suggest something instead. my suggestion is that if there's any math notes that are available, maybe you could look over them-then apply that to the problems.
Step-by-step explanation:
I hope this helps you!
A garden is to designed with a rectangular part in the middle with two semi-circles on the ends.
The dimensions of the rectangular portion are 18.4 feet long and 8.6 feet wide.
a) What is the area of one semi-circle at one end?
b) What is the area of the garden?
c) Find the area in square metres.
Given statement solution is :- a) The area of one semi-circle at one end is 58.09 square feet.
b) The area of the garden is 274.42 square feet.
c) The area in square metres is approximately 58.09 square feet.
The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.
Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.
Now we can calculate the area of the semi-circle:
A = (π * 4.3²) / 2
A ≈ 58.09 square feet
b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.
Area of the rectangular portion = length * width
Area of the rectangular portion = 18.4 feet * 8.6 feet
Area of the rectangular portion ≈ 158.24 square feet
Area of the two semi-circles = 2 * (area of one semi-circle)
Area of the two semi-circles ≈ 2 * 58.09 square feet
Area of the two semi-circles ≈ 116.18 square feet
Total area of the garden = area of the rectangular portion + area of the two semi-circles
Total area of the garden ≈ 158.24 square feet + 116.18 square feet
Total area of the garden ≈ 274.42 square feet
c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.
Area in square meters = Total area of the garden * (0.3048)²
Area in square meters ≈ 274.42 square feet * 0.3048²
Area in square meters ≈ 25.49 square meters
Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
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Find the value of x.
x = ___
One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary?
Answer:
I think this is a true or false if so the answer is true:)
Answer:If its true or false the answer is FALSE
Step-by-step explanation: Just took the test
Please help ASAP!
What is the measure of arcXY shown in the diagram below?
Applying the angles of intersecting secants theorem, the measure of arc XY is: 32°.
How to Apply the Angles of Intersecting Secants Theorem?According to the angles of intersecting secants theorem, m∠XZY = 1/2(arc VW - arc XY).
Plug in the values:
39 = 1/2(110 - arc XY)
2(39) = 110 - arc XY
78 = 110 - arc XY
78 - 110 = - arc XY
-32 = - arc XY
Arc XY = 32°
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5th grade math. correct answer will be marked brainliest
The answer is b
saddsadsadas
Answer:
B
Step-by-step explanation:
Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B
B
Please help me ! So lost rn
Answer:
2.7 meters
Step-by-step explanation:
So, we know that 1 foot is about 0.305 meters.
To find how many meters are in 9 feet, multiply 0.305 by 9.
Therefore:
\(9(1\text{ foot})=9(0.305\text{ meters})\)
Multiply:
\(9\text{ feet}=2.745\text{ meters}\)
To the nearest, tenth this would be 2.7 meters.
And we're done!
When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse?
when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.
The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.
In mathematical terms, when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.
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the difference between two numbers is 308 328. if the smaller number is 6 524, what is the larger number?
The larger number is 301804
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The smaller number =6 524,
The difference between two numbers = 308 328
Now,
Let the missing number be x
x-6524=308328
x=308328-6524
x=301804
Therefore, the larger number of algebra will be 301804.
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Consider the polynomial function q(x) = -2x^8 + 5x^6 -3x^5 + 50 What is the end behaviour of the graph of q?
The end behavior of the function q(x) is:
when x → ∞, q(x) → -∞when x → -∞, q(x) → -∞How to identify the end behavior?To know the end behavior we need to look at the degree and the sign of the leading coefficient.
If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.
Here we can see that the function is:
q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50
So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:
when x → ∞, q(x) → -∞
when x → -∞, q(x) → -∞
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What is the binomial is a factor to this trinomial:
4x^2+20x-24
\(4x^2+20x-24 = 4x^2-4x+24x-24 = 4x(x-1)+24(x-1) = (4x + 24)(x-1)\\\)
\(= 4(x+6)(x-1)\)
2 Select the correct answer. A circle with radius 5 and center A. The coordinates of the center of the circle are (-3, 12). What is the general form of the equation of the given circle with center A? A. x2 + y2 + 6x − 24y − 25 = 0 B. x2 + y2 − 6x + 24y + 128 = 0 C. x2 + y2 + 6x – 24y + 128 = 0 D. x2 + y2 + 6x − 24y + 148 = 0 Reset Next
The correct equation is D. x2 + y2 + 6x − 24y + 148 = 0.
What is equation?Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.
This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 8% interest compounded quarterly. Round your answer to the nearest cent.
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where A is the amount of money in the account after t years, P is the principal (the initial amount deposited), r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
We want to find the amount of money that needs to be deposited now (P) in order to have $3000 in the account after 10 years, so we can rearrange the formula to solve for P:
P = A / (1 + r/n)^(nt)
Plugging in the given values, we get:
P = 3000 / (1 + 0.08/4)^(4*10)
P = 3000 / 2.208756...
P = $1358.39 (rounded to the nearest cent)
Therefore, you would need to deposit $1358.39 in the account now in order to have $3000 in the account in 10 years at an 8% interest rate compounded quarterly.
*IG: whis.sama_ent*
AABC is similar to ADEF. The measure of AC = 10, the measure of DE=8, the measure of BC = 6, and the measure of DF = 20.
Find the measures of AB and EF.
The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.
ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.
AC / DF = BC / EF = AB/DE
AC = 10
DF = 20
DE = 8
BC = 6
Hence,
10 / 20 = AB / 8
cross multiply
20AB = 80
AB = 80 / 20
AB = 4
Hence,
10 / 20 = 6 / EF
10EF = 120
EF = 120 / 10
EF = 12
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f(x)
10
6
2.
146 +3₂
4.
-19-
g(x)
246810
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x + 5)² + 2
O g(x) = (x + 2)² +5
O g(x) = (x - 2)² +5
O g(x) = (x - 5)² + 2
Answer:
93666 .83766,739+836!83726298
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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What are the coordinates of point A′ if triangle ABC is rotated 90° to produce the image triangle A′B′C′?
A.(-9,-4)
B. (4,-9)
C. (9,-4)
D. (9,4)
Answer:
(9,-4)
Step-by-step explanation:
its right hope it's helpful
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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Helppppppp:)!!!!!!!
:)))))))))
Answer:
-5a
Step-by-step explanation:
-21 + 16 = 16-21 16-21= -5 Therefore, a=-5
Give Brainliest if I helped Please!
please help me on this question, I’ll give brainliest just pls help me :( i am struggling.
Answer: a associative
b identity
c associative
please mark as brainliest please
Probability of picking a blue marble and a yellow marble when 2 marbles are picked (without replacement) from a bag containing 4 blue and 4 yellow marbles
Answer:
9/49
Step-by-step explanation:
that is the procedure above
Ubahlah koordinat cartesius A (-√2, √2) berikut menjadi koordinat kutub dengan r ≥ 0 dan 0° ≤ 360°
Answer:
I can't understand anything
Hamilton is saving for retirement. He deposits $275 each month at 2.6% annual interest for 30 years. According to his calculations, at the end of 30 years he should have $149,722,57 in his account. How much of this did Hamilton contribute and how much of this is interest?
After saving for 30 years, Hamilton would have contributed $99,000 and made a total interest of $50,722.57.
Hamilton will indeed have $149,722.57 at the end of 30 years.
Out of this, the amount he would have contributed is:
= Amount contributed per month x Number of months contributed
= 275 x 30 years x 12 months
= $99,000
The amount that would be interest is:
= Total amount accumulated - Amount contributed
= 149,722.57 - 99,000
= $50,722.57
In conclusion, Hamilton would have contributed $99,000 and made $50,722.57 in interest.
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5% Loan time frame is 35 years What is the amount of the loan you must take out? What monthly price do you have to pay on this house? What is the total price of this house (including interest and the down payment)?
9514 1404 393
Answer:
$20,330 down$193,670 loan$560.35 monthly$255,677 total priceStep-by-step explanation:
a) The down payment is 9.5% of the price, so is ...
down = 0.095×$214,000 = $20,330
__
b) The amount of the loan is the remaining value after the down payment is made:
$214,000 -20,330 = $193,670
__
c) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
payment on Principal P at interest rate r for t years
A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35
__
d) The total cost of the house is ...
down + (monthly payment)×(number of months)
= $20,330 + $560.35×420
= $255,677
In circle V. r= 14ft.
What is the area of circle V?
14Tr ft2
28tt ft2
49tt ft2
196 ft2
Radius of circle = 14ft
We have to find the area of circle\(.\)
Area of circle of radius R is given by
A = π × R²⇒ A = π × R²
⇒ A = π × (14ft)²
⇒ A = 196π ft²
✪ Learn More :
Area of sqaure : (side)²
Area of rectangle = l × b
Area of triangle = 1/2 × b × p