Find the area of the circle.
Use 3.14 for T. Do not round your answer.
Hint: A = πr²
18 inches
Answers
The area of circle when π is 3.14 is 1017.36 inches².
What is the area of circle?
It is obvious that one of the rectangle's sides will be the radius and the other will be half the circumference's length.Since we already know that a rectangle's area equals its length times its width, which is compounded by "r," As a result, r2 is the circle's area.Although a circle is not a square, the amount of internal space it encloses is measured in square units. Easy formula for calculating a square's area is length times width.However, a circle simply has a diameter, or width. Since a circle (by definition) is the collection of all points that are equally spaced apart from a particular point in the centre, it lacks a clearly discernible length and width.Area of the circle = πr²
= 3.14 * 18 * 18
= 3.14 * 324
= 1017.36 inches²
Hence, the area of circle when π is 3.14 is 1017.36 inches².
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Related Questions
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answers
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Find the exact value for the expression under the given conditions.
cos(α+β), sin α= -8/17 for α in Quadrant lll and cosβ= -8/15 for β in Quadrant ll.
Answers
Answer:
\(\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}\)
Step-by-step explanation:
We are given the conditions:
\(\displaystyle \sin(\alpha)=-\frac{8}{17}\text{ and } \cos(\beta)=-\frac{8}{15}\)
Where α is in QIII and β is in QII and we want to find the exact value of cos(α + β).
The first ratio gives us the opposite side and the hypotenuse with respect to α . Then the adjacent side is (we can ignore negatives):
\(a=\sqrt{(17)^2-(8)^2}=15\)
The second ratio gives us the adjacent side and the hypotenuse with respect to β. Then the opposite side is:
\(o=\sqrt{(15)^2-(8)^2}=\sqrt{161}\)
Therefore, for α, ignoring negatives, the adjacent side is 15, the opposite side is 8, and the hypotenuse is 17.
And for β, ignoring negatives, the adjacent side is 8, the opposite side is √(161), and the hypotenuse is 15.
We can rewrite our expression as:
\(\displaystyle \cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)\)
Since α is in QIII, sin(α), cos(α) < 0, and tan(α) > 0.
And since β is in QII, cos(β), tan(β) < 0, and sin(β) > 0.
Using this information, substitute:
\(\displaystyle \cos(\alpha+\beta)=\left(-\frac{15}{17}\right)\left(-\frac{8}{15}\right)-\left(-\frac{8}{17}\right)\left(\frac{\sqrt{161}}{15}\right)\)
Therefore:
\(\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}\)
Please Solve (c-3)^2=100
Answers
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
Two numbers are in the ratio 7:5. The smaller number is 16 less than the bigger number. What is the bigger number ?
Answers
Answer:
The bigger number is 56
Step-by-step explanation:
\(\frac{x}{y}\) = \(\frac{7}{5}\) cross multiply
5x = 7y
y = x -16 substage x-16 in the equation above for y
5x = 7( x - 16)
5x = 7x - 112 Subtract 7x from both sides
-2x = -112 Divide both sides by -2
x = 56
Check:
y = x - 16
y = 56 - 16
y = 40
5x = 7y
5(56) = 7(40)
280 = 28
y = x - 16
40 = 45-16
40 = 40
∠A and ∠B are complementary angles. If m∠A is 30∘, what is the measure of ∠B?
Group of answer choices
40∘
90∘
150∘
60
Answers
Answer:
60
Step-by-step explanation:
90-30 = 60
Remember, Complementary angles always = 90°
Supplementary always equals 180°
Jewlien’s group medical insurance coverage costs $94.50 semimonthly. His employer pays 65% of the cost. How much is the annual premium?
Answers
Annual premium = $793.8
Explanations:Note that a premium is the amount that is paid to the insurer on a periodic basis.
The insurance coverage cost semimonthly = $94.50
The monthly insurance coverage cost = 2 x 94.50
The monthly insurance coverage cost = $189
The employer pays 65% of the cost
\(\begin{gathered} \text{Amount paid by the employer monthly = }\frac{65}{100}\times189 \\ \text{Amount paid by the employer monthly = \$122.85} \end{gathered}\)Monthly premium = $189 - $122.85
Monthly premium = $66.15
Annual premium = 66.15 x 12
Annual premium = $793.8
Last week, Rose Petropolis earned gross pay of $820. Her employer deducted $109 in federal withholding taxes, 6.2% in Social Security taxes, 1.45% in Medicare taxes, $74 in health insurance, and $45 in union dues. What was Rose's net pay?
Answers
Explanation:
We have to substract the amounts her empoyer deducted from her gross pay:
First we have to find the percentages:
Social security: 6.2%:
\(820\times\frac{6.2}{100}=820\times0.062=50.84\)Medicare 1.45%:
\(820\times\frac{1.45}{100}=820\times0.0145=11.89\)In total:
\(820-109-50.84-11.89-74-45=529.27\)Answer:
Rose's net pay was $529.27
Can someone PLEASE HELP!!!!!!
Answers
Answer:
Pretty sure it's 8 units long
3x-47=180 solve for x
Answers
Answer:
x=75.66
Step-by-step explanation:
+47 180+47
3x=227
divide 3 on each side
x=75.66
add 47 to both sides
3x=227
divide by 3
x= 75 2/3
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Answers
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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ALL IM ASKING FOR IS HELP JUST BE TRY TO HELp ME
Answers
Answer:
36
Step-by-step explanation:
Mrk me brainliest plzzzzz
Suppose you own a toy company... Toy cars sell for $6.20 and toyswords sell for $9.70 . Perhaps you are going to package up the cars and swords and ship them to a store in your own car. You know you can fit no more than 74 toys in your car. With these constraints , can you take enough toys to the store to sell at least $850 worth?-yes-no
Answers
Mathematics → Linear Equations in the Real World → Problem-Solving Models
Let:
"a" be the number of toy cars sold
"b" be the number of toywords sold
The prices of one unit are:
a = $6.20
b = $9.70
If you can fit only 74 toys in your car, a + b ≤ 74.
The situation that gives you the greater amount of money, is selling 74 (maximum number of toys) toywords (since toywords is more expensive).
If you sell 74 units of "b", you get:
\(\begin{gathered} 74*9.70 \\ 717.8 \end{gathered}\)The maximum amount of money you can get is $717.80. So, you can not get $850.
Answer: No.
I need help resolving this please
Answers
27x^6 = 387420489
You want something similar but cubed.
\(\sqrt[3]{387420489}\) = 729
YOUR ANSWER: 729x^3 = 387420489
Step-by-step explanation:
A cylinder open on both ends has a diameter of 10 decimeters(dm) and a height of 10 decimeters(dm). What is the
surface area of the cylinder?
314 dm ²
471 dm ²
628 dm ²
157dm2
Answers
the surface area of the cylinder is approximately 471 dm².
Now, For the surface area of the cylinder, we need to find the lateral area and the area of the two circular bases.
Since, The formula for the lateral area of a cylinder is
L = 2πrh,
where r is the radius of the cylinder and h is the height.
In this case, the diameter is 10 dm,
So the radius is 5 dm.
And the height is also 10 dm.
Therefore, the lateral area is:
L = 2πrh
L = 2π(5 dm)(10 dm)
L = 100π dm²
The formula for the area of a circle is
A = πr²,
where r is the radius.
In this case, the radius is 5 dm,
So the area of each base is:
A = πr²
A = π(5 dm)²
A = 25π dm²
To find the total surface area, we add the lateral area and the area of the two bases:
SA = 2(Area of Base) + Lateral Area
SA = 2(25π dm²) + 100π dm²
SA = 50π dm² + 100π dm²
SA = 150π dm²
Substitute pi as 3.14, we can calculate:
SA ≈ 150(3.14) dm²
SA ≈ 471 dm²
Therefore, the surface area of the cylinder is approximately 471 dm².
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........................
Answers
Answer:
???????
Step-by-step explanation:
?????
help me ples 20 point
Answers
Answer:
40%
Step-by-step explanation:
6/15 * 100 = 0.4 * 100 = 40%
Answer:
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
Total number of pieces of fruit in a bowl = 15 pieces
Number of pieces of apple in a bowl = 6 pieces.
Therefore, 40% of the pieces of fruit in the Bowl are apples.
Three 3.0 g balls are tied to 80-cm-long threads and hung from a single fixed point. Each of the balls is given the same charge q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm sides. What is q?
Answers
Answer:
q = 0.105uC
Step-by-step explanation:
We can determine the force on one ball by assuming two balls are stationary, finding the E field at the lower right vertex and calculate q from that.
Considering the horizontal and vertical components.
First find the directions of the fields at the lower right vertex. From the lower left vertex the field will be at 0° and from the top vertex, the field will be at -60° or 300° because + charge fields point radially outward in all directions. The distances from both charges are the same since this is an equilateral triangle. The fields have the same magnitude:
E=kq/r²
Where r = 20cm
= 20/100
= 0.2m
K = 9.0×10^9
9.0×10^9 × q /0.2²
9.0×10^9/0.04
2.25×10^11 q
These are vector fields of course
Sum the horizontal components
Ecos0 + Ecos300 = E+0.5E
= 1.5E
Sum the vertical components
Esin0 + Esin300 = -E√3/2
Resultant = √3E at -30° or 330°
So the force on q at the lower right corner is q√3×E
The balls have two forces, horizontal = √3×E×q
and vertical = mg, therefore if θ is the angle the string makes with the vertical tanθ = q√3E/mg
mg×tanθ = q√3E.
..1
Then θ will be...
Since the hypotenuse = 80cm
80cm/100
= 0.8m
The distance from the centroid to the lower right vertex is 0.1/cos30 =
0.1/0.866
= 0.1155m
Hence,
0.8×sinθ = 0.1155
Sinθ = 0.1155/0.8
Sin θ = 0.144375
θ = arch sin 0.144375
θ = 8.3°
From equation 1
mg×tanθ = q√3E
g = 9.8m/s^2
m = 3.0g = 0.003kg
0.003×9.8×tan(8.3)
0.00428 = q√3E
0.00428 = q×1.7320×E
Where E=kq/r²
Where r = 0.2m
0.0428 = kq^2/r² × 1.7320
K = 9.0×10^9
0.0428/1.7320 = 9.0×10^9 × q² / 0.2²
0.02471×0.04 = 9.0×10^9 × q²
0.0009884 = 9.0×10^9 × q²
0.0009884/9.0×10^9 = q²
q² = 109822.223
q = √109822.223
q = 0.105uC
Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers
Answers
Answer:
b. R-square must be greater than 1.0
Step-by-step explanation:
For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.
Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.
The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.
Claire is 5 feet tall and casts a 96 inch shadow. How tall is her friend Steve if his shadow is 1.5 inches shorter than hers?
Answers
Answer:
4.725 ft
Step-by-step explanation:
well if i see this right the shadow for claire is 1.60x the person's hight
Five more than the product of a number and six is equal to nine
Answers
Answer:
Think about the PEMDAS rules for order of operations.
Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.
1. Spring Time Manufacturers produces a single product and the
company is trying to determine the effectiveness of their
pricing decisions. As a consultant, you have been asked to
develop cost functions that will assist in arriving at the
optimal price that will enable the company to maximize
profits. During the year, you were provided with the following
demand and costs functions for the product:
P = 485-25Q, where P is the unit selling price and Q is quantity
of units in thousands.
TC = 5Q² +95Q + 200, where TC is total costs in thousands of
dollars.
Required:
(a) Find the output at which profit is maximized.
(b) Find the optimal price that maximizes profit.
(c) Determine the optimal sales revenue.
(d) Calculate the maximum profit.
Answers
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answers
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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Enter the ratio as a fraction in lowest terms.
5 ft to 70 in.
Answers
Answer:
1/14
Step-by-step explanation:
The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14
subtract 3 from 5, then multiply 4
Answers
Answer:
8
Step-by-step explanation:
5-3=2
2×4=8
have a great day
Lester randomly surveyed 200 people from his town asking whether they will attend the grand opening of his new restaurant.of the 200 people 120 say they will attend the grand opening of the 4220 people in his town how many does Lester expect to attend the grand opening?
A.120
B.235
C.2532
D.4100
Answers
Answer:
C. 2532
Step-by-step explanation:
120 people out of 200 surveyed is 60%
60% of 4220 people = 2532
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Mrs. Dizeu had a summer job that pays $15.00 an hour and she worked between 10 and 40 hours every week. Her weekly salary can be modeled by the equation: S = 15h, where S is her weekly salary and h is the number of hours she worked in a week. Describe the domain and range for this problem using interval notation.
Answers
Answer:
do 15x 40 and the 15x10
Step-by-step explanation:
Find the perimeter of this shape
Answers
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Write the ratio for sin x, cos x and tan x
Answers
Answer:
Sin X = 15/17
Cos X = 8/17
Tan X = 15/8
Step-by-step explanation:
Recall, SOHCAHTOA.
Thus:
Sin X = opp/hyp
opp = 15
hyp = 17
✅Sin X = 15/17
Cos X = adj/hyp
Adj = 8
Hyp = 17
✅Cos X = 8/17
Tan X = opp/adj
Opp = 15
Adj = 8
✅Tan X = 15/8
Someone is 18 1/2 inches long when they are born and their twin is 20 3/4 inches long. What is the difference between how big they are.
Answers
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3^x-6
g(x) = 3^x+6
g(x) = 3^x-6
g(x) = 3^x+ 6
Answers
Translation the graph of the function \(y=f(x)\)a units to the right gives you the function \(y=f(x-a)\)
If the graph of the function \(f(x)=3^{x}\) is translated 6 units to the right, then the function becomes
\(g(x)=f(x-6)=3^{x-6}\)
Answer: correct choice is A