The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.
What is a angle measure?An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.
To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.
The tangent of an angle is the ratio of the opposite side to the adjacent side,
So cot B = adjacent side / opposite side.
By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation
B = arctan(cot B).
Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,
B = arctan(cot B) = 56.31° (rounded to two decimal places)
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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".
a. glancing through each variable in the products table, which stand out as numerical data, that is, data that would be interesting to add or average? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answers and double click the box with the question mark to empty the box for a wrong answers. any boxes left with a question mark will be automatically graded as incorrect.)
The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.
The unit price is the cost of a single item or unit of a product or service. It is usually expressed as a monetary value, such as dollars per item. It can be calculated by dividing the total cost of a product or service by the number of units.
Units in stock refer to the number of items or units of a product or service that are currently available for purchase. It is used to track inventory levels and to manage the replenishment of products or services.
Units on order refer to the number of items or units of a product or service that have been ordered by a company but have not yet been received. It is used to track expected inventory levels and to manage the replenishment of products or services.
The reorder level, also known as the reorder point, is the point at which a company needs to replenish its inventory of a particular product or service. It is determined by calculating the lead time (the time it takes to receive new inventory after placing an order) and the average daily usage of the product or service.
Therefore, The correct answer is Unit Price, Units in Stock, Units on Order, and Reorder Level.
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rewrite without an exponent
Answer:
\(\frac{1}{3^{4} } \\\\\frac{1}{81}\)
Step-by-step explanation:
Answer: -81, the product would just be 3∧4 but negative
Convert .805 liters to millimeter s
Solve 45 - [4 - 2y - 4(y + 7)] = -4(1 + 3y) - [4 - 3(y + 2) - 2(2y -5)] (make sure to type the number only - rounded to the tenth)
Answer:
Rounded: -5.5
Step-by-step explanation:
Work above :)
Which of the following would be an appropriate scale to use on an 8 1/2 by 11 sheet of paper for a sketch of the room and carpet? 1 inch = 1 foot 1/2 inch = 1 foot 1 inches = 1 foot 2 inches = 1 foot
Answer:
1 foot = 2 inches
Step-by-step explanation:
Dan earns £388 over the course of a five-day week. How much is that per day?
Answer:
£77.6 per day
Step-by-step explanation:
388/5 = 77.6
Answer:
£77.60
Step-by-step explanation:
388/5=77.6
but remember that this is money so add the 0.
find the solution set by using the method of equating the coefficients of 2x +3y=3 x+5y=5
Find the difference. Show each step for full credit. Use ^ for exponents, for instance x^2 means x2
3n^3+ 4n^2 – 9 and -2n^3 + 4n – 9
The difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
Given,
The two expressions are:
a = 3n³ + 4n² - 9
b = -2n³ + 4n - 9
We have to find a - b:
That is,
(3n³ + 4n² - 9) - ( -2n³ + 4n - 9)
Open the bracket and multiply (-) with the terms.
That is,
3n³ + 4n² - 9 + 2n³ - 4n + 9
Now solve the expression:
We get,
3n³ + 4n² + 2n³ - 4n
Add 3n³ and 2n²
Then,
5n³ + 4n² -4n
Therefore, the difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
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pls do this!! scientific method
Answer:
a. \(1\,\,\,10^4\)
b. \(1.57\,\,\,10^{-4}\)
c. \(1.2\,\,\,10^{10}\)
d. \(1.72\,\,\,10^{-15}\)
e. \(4.53\,\,\,10^5\)
f. \(5.682\,\,\,10^{14}\)
g. \(8.1\,\,\,10^{-8}\)
h. \(9.04\,\,\,10^{-13}\)
i. \(7.123\,\,\,10^3\)
j. \(4\,\,\,10^{-3}\)
Step-by-step explanation:
Start by recognizing the significant figures of the number in question. the first factor to include in the scientific notation should have a non-zero digit followed by a decimal point, and whatever other significant figures follow. Make sure you count how many places you need to move the decimal point to get to the first significant figure for the quantity. If you moved the decimal point to the left in order to get to the first significant figure, you have to include a positive exponent for the base ten, and that exponent is the number of places you counted. If you moved to the right when moving the decimal point to locate it after the first significant figure, you need to include the negative of the number of places you counted in the exponent of the accompanying base 10.
Need help asap!
Mr. Abyad used 3 2/3 square feet of material for his first bulletin board, 6 3/4 square feet of material for his second bulletin board, and 4 1/3 square feet for his third bulletin board. How many square feet of material did Mr. Abyad use?
100 points!
Answer:
Mr. Abyad used a total of 10 3/12 square feet of material
Step-by-step explanation:
To solve this problem, we need to add the amounts of material that Mr. Abyad used for each of the bulletin boards.
The first bulletin board used 3 2/3 square feet of material, which is equal to 3 + 2/3 square feet.
The second bulletin board used 6 3/4 square feet of material, which is equal to 6 + 3/4 square feet.
The third bulletin board used 4 1/3 square feet of material, which is equal to 4 + 1/3 square feet.
To find the total amount of material that Mr. Abyad used, we need to add these three quantities:
3 + 2/3 + 6 + 3/4 + 4 + 1/3 = 13 + 9/12 + 5/4 = 13 + 5/4 + 9/12
We can't add these fractions directly, so we need to find a common denominator. The least common multiple of 3, 4, and 12 is 12, so we can use that as the common denominator.
We can rewrite 13 + 5/4 as 13 + 5/4 * 3/3, which is equal to 13 + 15/12.
We can rewrite 9/12 as 9/12 * 4/4, which is equal to 3/3.
Adding these quantities gives us:
13 + 15/12 + 3/3 = 13 + 15/12 + 12/12 = 13 + 15 + 12/12 = 28/12 + 12/12 = 40/12 = 10 3/12
Therefore, Mr. Abyad used a total of 10 3/12 square feet of material.
$5,000 at a simple annual interest rate of 6.5% for 5 years. What is the total amount of interest Ms. Lee must pay?
Answer:
$6625
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 6.5% = 0.065
t = 5
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.065 · 5)(Parenthesis) Multiply: A = 5000(1 + 0.325)(Parenthesis) Add: A = 5000(1.325)Multiply: A = 6625John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
which expression is equivalent to squareroot 36/25
The correct answer would be: 6/5
A short order cook can prepare 40hamburgers in 30 minutes
Answer:1.33333333333 hamburgers every minute
Step-by-step explanation:40 burgers ÷ 30minutes = 1.333333 burgers every minute
Type the correct answer in the box. Spell all words correctly.
Which term describes the solution to a multiplication problem?
The
describes the solution to a multiplication problem.
Answer:
product is right
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!
1. Find the area of a regular octagon. Each side is 12 m.
2. The perimeter of a regular polygon is 72 feet. An exterior angle of the polygon measures 40°. Find the length of each side.
3. If the perimeter of a regular pentagon is 50 in. Find the area. Show a drawing and work please.
Answer:
1) 695.3 m²
2) 8 ft
3) 172.0 in²
Step-by-step explanation:
Question 1To find the area of a regular polygon, we can use the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
Given the polygon is an octagon, n = 8.
Given each side measures 12 m, s = 12.
Substitute the values of n and s into the formula for area and solve for A:
\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)
\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)
\(\implies A=695.29350...\)
Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.
\(\hrulefill\)
Question 2The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.
If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.
To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:
\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)
Therefore:
\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)
\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)
\(\implies 40^{\circ}n=360^{\circ}\)
\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)
\(\implies n=9\)
Therefore, the regular polygon has 9 sides.
To determine the length of each side, divide the given perimeter by the number of sides:
\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)
\(\implies \sf Side \;length=\dfrac{72}{9}\)
\(\implies \sf Side \;length=8\;ft\)
Therefore, the length of each side of the regular polygon is 8 ft.
\(\hrulefill\)
Question 3The area of a regular polygon can be calculated using the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
A regular pentagon has 5 sides, so n = 5.
If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.
Substitute the values of s and n into the formula and solve for A:
\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)
\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)
\(\implies A=172.047740...\)
Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.
Answer:
1.695.29 m^2
2.8 feet
3. 172.0477 in^2
Step-by-step explanation:
1. The area of a regular octagon can be found using the formula:
\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)
where a is the length of one side of the octagon.
In this case, a = 12 m, so the area is:
\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)
Therefore, the Area of a regular octagon is 695.29 m^2
2.
The formula for the exterior angle of a regular polygon is:
\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)
where n is the number of sides in the polygon.
In this case, the exterior angle is 40°, so we can set up the following equation:
\(\bold{40^o=\frac{ 360^0 }{n}}\)
\(n=\frac{360}{40}=9\)
Therefore, the polygon has n=9 sides.
Perimeter=72ft.
We have
\(\boxed{\bold{Perimeter = n*s}}\)
where n is the number of sides in the polygon and s is the length of one side.
Substituting Value.
72 feet = 9*s
\(\bold{s =\frac{ 72 \:feet }{ 9}}\)
s = 8 feet
Therefore, the length of each side of the polygon is 8 feet.
3.
Solution:
A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)
The area of a regular pentagon can be found using the following formula:
\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)
where s is the length of one side of the Pentagon.
In this case, s = 10 in, so the area is:
\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)
Drawing: Attachment
Which table matches with the linear equation y = - 2x - 3?
X-
20
-1-3
35
0-8
X-2-1
y 1-1-5
4
-11
2
X-4-1
y 1-2 3
-5
X
-503 6
2 -3 -6-9
y
Answer:
b
Step-by-step explanation:
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
-(9-N) what's the answer
Step 1:
Write the expression
-( 9 - N)
Step 2:
use distributive property
-(9 - n) = -9 + n or n - 9
Final answer
n - 9 or -9 + n
To test if an observed frequency distribution with five classes is normally distributed, we need to find _____.a. The t-statisticb. The expected, normally distributed class frequenciesc. The class marksd. The class relative frequencies
Finding the t statistic is necessary to check the normality of a five-class observed frequency distribution.
what the T statistic means?The t-value gauges the magnitude of the difference in relation to the range of your sample's data. Or to put it another way, T is just the calculated difference shown in units of standard error. The evidence is stronger against the null hypothesis the larger the value of T.
Which T statistic value is optimal?In general, t-values that are more than +2 or less than -2 are acceptable. We are more confident in the coefficient's ability to predict outcomes the higher the t-value. Low t-values are a sign of the predictability of that coefficient's coefficient being unreliable.
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the difference of 6 and a number n A. 6÷n B. n-6 C. n÷6 D. 6-n
Given data:
The expression for the difference of 6 and a number n is,
\(6-n\)Thus, option (D) is correct.
please describe the error and provide the correct answer i need it asap
10q - 20 is equivalent to _____.
Answer: 10q-20
10(q-2)
factor out 10 as it is a common factor
Step-by-step explanation: this did not help please comment to contact please
There are 20 students in a math class who have brown hair. This represents 80 percent of the students in the class. Which equation can be used to find the total number of students in the math class?
StartFraction 20 times 100 Over 80 times 100 EndFraction = StartFraction 2000 Over 8000 EndFraction
StartFraction 80 times 5 Over 20 times 5 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 80 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 20 Over 25 EndFraction
StartFraction 20 divided by 1 Over 80 divided by 1 EndFraction = StartFraction 20 Over 80 EndFraction
Answer:
25
Step-by-step explanation:
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
For any nonnegative real number a, (a)2 =
=
O A. a2
O B. va
Ос. а
O D. 1
SUBMIT
Answer:
C
Step-by-step explanation:
For example, if a is equal to 2.
\( \sqrt{2} {}^{2} = 2\)
The answer is still the given number a.
The solution of the expression √a² is,
⇒ a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ √a²
Where, 'a' is nonnegative real number.
Now, We can simplify as;
⇒ √a²
⇒ √ a × a
⇒ a
Thus, The solution of the expression √a² is,
⇒ a
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A dartboard has a circumference of 26pi in. Calculate the total are on which the dart may land?
Use 3.14
hint is not 53.81
Answer:
\(A=530.66\ in^2\)
Step-by-step explanation:
The circumference of a dartboard, C = 26pi inches
We need to find the area on which the dart may land.
The circumference of a circle is given by :
C = 2πr
Where
r is the radius of the dartboard
\(r=\dfrac{C}{2\pi}\\\\r=\dfrac{26\pi}{2\pi}\\\\r=13\ in\)
Now, the area of a circle is given by :
\(A=\pi r^2\\\\=3.14\times (13)^2\\\\A=530.66\ in^2\)
so, the required area is \(530.66\ in^2\).
x+2/5=6/15 solve for x
Answer:
0
Step-by-step explanation:
First, simplify for both sides
6/15 -> 2/5
2/5 -> 2/5
x+2/5 = 2/5
Subtract 2/5 from each side.
(x+2/5)-2/5-> x
2/5-2/5 -> 0
x = 0
Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).helppppppppppppppppppppppppppp
Answer:
hn−h−10
Step-by-step explanation:
h(n)=h(n−1)−10
Use the distributive property to multiply h by n−1.
hn−h−10