The value of p is 15.39 feet (rounded to two decimal places).The correct option is a. 15.39 feet
Given that in the right triangle illustrated, side Cy is 5m and angle C is 18°.
We need to find the value of p. Using the given information, let's solve this problem:
In right triangle ABC, we have: Cy = 5mAB = p And the angle opposite to side Cy is A = 18°.By the trigonometric ratios of right triangle, we have:
The tangent of angle
A = Cy / ABtan(A)
= Cy / AB5 / p
= tan(18°)5 / p
= 0.32492p
= 5 / 0.32492p
= 15.39
Hence, the value of p is 15.39 feet (rounded to two decimal places).The correct option is a. 15.39 feet
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what is 8+9 pllllllllllllssssssssssssssssssssssssss
Answer:
17
Step-by-step explanation:
8+9 is 17
Answer:
89
it's helpful ya lol :)
I think it's 17 :(
The area of triangle ABC is
square units.
Answer: Area = 17.5 unit²
Concept:
Here, we need to know how to calculate the area of a triangle.
Area (triangle) = b · h · (1/2)
b = base
h = height
Solve:
Given information (By counting grids on the graph)
b (AB) = 7
h (BC) = 5
Given expression
Area = b · h · (1/2)
Substitute values into the expression
Area = (7) · (5) · (1/2)
Simplify by multiplication
Area = (35) · (1/2)
Area = \(\boxed{17.5}\)
Hope this helps!! :)
Please let me know if you have any quesitons
Help! What is the equation of this line?
Step-by-step explanation:
The line is the y-axis, where x = 0.
Equation of the line: x = 0.
The ratio of the lengths of the two legs of a right triangle is 3:4
(a) Find the length of each leg when the length of the hypotenuse
is the given measure. (b) Find the area of the triangle.
d. 100 cm
a. 10 cm
b. 20 cm
c. 25 cm
Greetings from Brasil...
Check Attachment!!!
According to the statement of the question, we have:
a/b = 3/4
Note that according to the attached figure, b > a, then the correct proportion will be a to 3, as well as b to 4, because b > a and 4 > 3
Isolating a and b:
a = 3b/4
b = 4a/3
From Pythagoras:
h² = a² + b² - as a = 3b/4 and b = 4a/3, so
b = 4h/5a = 6h/5For Area:
A = b.a/2
as b = 4h/5 and a = 6h/5, so
A = 12h/25
2. Jasmine ran 22 kilometers. One mile is approximately equal to 1.6 kilometers. Which
measurement is closest to the number of miles Jasmine ran?
a. 13.75 mi
b. 35.2 mi
c. 23.6 mi
d. 22 mi
Answer:
13.75
22/1.6 = 13.75
Solve the equation 13x-2x(3x+4)=22
The fastest lion ever recorded ran approximately 402 meters in 18 seconds. Which expression shows how to correctly determine the speed in meters per second?
Answer
402 meters ÷ 18 seconds
Step-by-step explanation:
Answer:
402 meters ÷ 18 seconds
Step-by-step explanation:
While doing this sorta math to find the speed it will always be how long ÷ by how long or time!
........................Hope this is helpful have a nice day!.......................Vincent played two basketball games. He scored 8 more points in the second game than he scored in the first. He scored 14 points in the second game. How many points did he score in the first game?
Answer:
the answer is 6 points
Step-by-step explanation:
14-8=6
Answer:
6 points is the answer
Step-by-step explanation:
because it's 14-8=6
→the numbers of given is 14,8
→and Minos it
→like this 14-8=6
and hope it helps
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the scoop ice cream shop purchases 325 gallons of milk and 195 pounds of sugar each week to make ice cream if one batch of ice cream takes 5 gallons of milk and 3 pounds of sugar how many batches of ice cream can they make each week
not the correct answer
Step-by-step explanation:
325:5 et 195:5
65 et 39
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables. $2.00 pound Pounds of peaches + An equation is y = $1.50 pound Pounds of apples Let a represent the number of pound of peaches. Let y represent the number of pounds of apples. - $15
plss help
Answer:
15=2.00x+1.50y
Step-by-step explanation:
what is the answer xz
Answer:
XZ = 11Step-by-step explanation:
Segment addition property:
AX + XZ = AZSubstitute the values and solve for XZ:
27 + XZ = 38XZ = 38 - 27XZ = 11find the area (in square feet) of a trapezoid with height $h$h and bases $b_1$b1 and $b_2$b2 . h=6
b1=9
b2=12
The area is
square feet.
Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)
The area of the trapezoid is given by the formula,
\(\[A = \frac{1}{2}h(b_1+b_2)\]\)
Substitute the given values,
\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)
Simplifying the above expression,
\(\[A = 45 \text{ square feet}\]\)
Therefore, the area of the trapezoid is $45$ square feet.
The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.
The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.
Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.
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the nicotine content in cigarettes of a certain brand is normally distributed with a standard deviation of begin math size 16px style sigma end style
The nicotine content in cigarettes of a certain brand follows a normal distribution with a standard deviation of σ.
In statistics, a normal distribution, also known as a Gaussian distribution or bell curve, is a continuous probability distribution that is symmetric around the mean. In this case, the nicotine content in cigarettes of a particular brand is assumed to be normally distributed. The standard deviation, represented by σ, is a measure of the spread or variability of the nicotine content.
A standard deviation of 16px (represented as σ) suggests that the nicotine content in these cigarettes has a moderate amount of variation. A larger standard deviation indicates a wider range of nicotine content, with values more spread out from the mean. Conversely, a smaller standard deviation would suggest that the nicotine content is less variable, with values clustered closer to the mean.
Understanding the distribution of nicotine content in cigarettes is important for various reasons, such as regulation, health considerations, and consumer awareness. By assuming a normal distribution and knowing the standard deviation, researchers and policymakers can estimate the proportion of cigarettes falling within specific ranges of nicotine content, evaluate compliance with regulations, and make informed decisions regarding health risks associated with smoking.
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Josh has a part-time job mowing yards. On average, it takes him 2.25 hours to mow one yard. If he completed 6 1/3 yards this weekend, how many hours did he spend mowing yards
Answer:
14.25 hours
Step-by-step explanation:
We know
2.25 hours = 1 yard
13.5 hours = 6 yards
1/3 yard = 2.25 / 3 = 0.75 hours
To find how long it takes him to complete 6 1/3 yards, we take
13.5 + 0.75 = 14.25 hours
So, he spent 14.25 hours mowing yards.
24.4 divided by 0.4 im stuck like step bro
Evaluate the following expression:
[9 × (10 − 2)] ÷ [2 + (5 × 2)]
Answer:
6
Step-by-step explanation:
[9 × (10 − 2)] ÷ [2 + (5 × 2)]
[9 x (8)] ÷ [2 + (10)]
72 ÷ 12
6
Answer:
I thank the answer might be =6
what is the probability that a 5-card straight will be drawn (a straight is 5 cards in a row of any suit) from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds?
The probability that a 5-card straight will be drawn from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds is 0.005.
A standard deck has 52 cards.
In this case, three cards are already drawn from the deck, which are the 2 of spades, the 4 of diamonds, and the 6 of diamonds. Thus, remaining number of cards= 49.
Probability of getting first card: 1/4
Probability of getting the second card from same suit= 1/13+ 1/13+ 1/12+ 1/11= 563/1716
Probability of getting the third card from same suit= 1/12+1/12+ 1/11+ 1/10= 472/ 1320
Probability of getting the fourth card from same suit= 1/11+ 1/11+ 1/10+ 1/9= 389/ 990
Probability of getting the fifth card from same suit= 1/10+ 1/10+ 1/9+ 1/8= 314/ 720
Therefore, total probability of the event that a 5-card straight will be drawn,
= (1/4)* (563/1716)* (472/ 1320)* (389/990)* (314/720)
= 0.005
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Reminder: When working with mills, is often converted to express them in dollars by dividing $1000.
Assessed value= market value X rate of assessment
Tax Rate as a decimal=
/1,000
real estate tax= tax rate X assessed value
5. The tax rate for problems A-C is 65.50 mils, market value is $70,000 and rate of assessment is 40%.
Answer:
Problem:
a. The assessed value
b. the tax rate as a decimal
c. the real estate tax
a. The assessed value: $28,000
b. The tax rate as a decimal: 0.0655
c. The real estate tax:$1,834
How to solveAssessed value = Market value * Rate of assessment = $70,000 * 40% = $28,000
b. The tax rate as a decimal:
Tax rate as a decimal = 65.50 mills / 1,000 = 0.0655
c. The real estate tax:
Real estate tax = Tax rate as a decimal * Assessed value = 0.0655 * $28,000 = $1,834
Therefore, the assessed value is $28,000, the tax rate as a decimal is 0.0655, and the real estate tax is $1,834.
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it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks
Answer:
52min
Step-by-step explanation:
5 people..............5 walls............52 min
1 people...............5 walls...........52 x 5=260 min
1 people................20 walls.........260 x 4 =1040 min
20 people................20 walls........1040:20=52 min
Answer:
116
Step-by-step explanation:
maybe don't try this i could be wrong.
Evaluate the triple integral where is the solid bounded by the cylinder and the planes and in the first octant.
The triple integral of the given solid is equal to (2/3) pi.
To evaluate the triple integral of a solid bounded by the cylinder and the planes in the first octant, we need to break down the integral into three separate integrals for each variable x, y, and z.
Firstly, we can determine the limits of integration for each variable by looking at the boundaries of the solid. The cylinder is defined by the equation \(x^{2}\) + \(y^{2}\) = 4, while the planes are defined by z = 0, x = 0, and y = 0.
In the first octant, we can set the limits of integration to be from 0 to 2 for x and from 0 to sqrt(4 - \(x^{2}\)) for y, as we are only considering the first quadrant of the cylinder. For z, the limits of integration are from 0 to 1, as we are only considering the solid bounded by the planes.
We can then set up the triple integral as follows:
∫∫∫ (1) dz dy dx
where (1) represents the constant function 1, as we are not given any specific function to integrate.
Using the limits of integration we determined earlier, we can simplify the integral to:
∫\(0^{2}\) ∫\(0^{\sqrt{4-x^{2} } }\) ∫\(0^{1}\) (1) dz dy dx
Evaluating this integral yields:
∫\(0^{2}\)∫\(0^{\sqrt{4-x^{2} } }\)(z)|\(0^{1}\)dy dx
which further simplifies to:
∫\(0^{2}\) (1/2)(\({\sqrt{4-x^{2} } }\)) dx
Using the substitution u = x/2, we can simplify the integral further to:
(1/4) ∫\(0^{4\sqrt{4-u^{2} } }\) du
This integral can be evaluated using the trigonometric substitution u = 2 sin(theta), which yields:
(1/2) ∫\(0^{\pi /2}\)(2 cos(θ)\()^{2}\) d(θ)
Simplifying this integral further yields:
(1/2) ∫0^pi/2 (4 \(cos^{2}\)(tθ) - 2) d(θ)
Evaluating the integral gives us:
(1/2) [(4/3) \(sin^{3}\)(θ) - 2 θ]|\(0^{\pi }\)
Finally, plugging in the limits of integration yields:
(2/3) \(\pi\)
Therefore, the triple integral of the given solid is equal to (2/3) \(\pi\).
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The diagram below shows a quadratic curve. Determine the equation of the curve, giving your answer in the form ax²+bx+c y = = 03 where a, b and care integers. y i 32 (2.0) (8.0)
Answer:
Step-by-step explanation:
Without a diagram, I cannot determine the equation of the curve. However, I can provide you with the general steps to find the equation of a quadratic curve given three points on the curve.
Let the three points be (x1, y1), (x2, y2), and (x3, y3). Then the equation of the quadratic curve in the form ax²+bx+c can be found using the following system of equations:
y1 = a(x1)² + b(x1) + c
y2 = a(x2)² + b(x2) + c
y3 = a(x3)² + b(x3) + c
Solving this system of equations simultaneously will give us the values of a, b, and c, which we can use to write the equation of the quadratic curve.
However, since you have only provided three y-values (32, 2.0, and 8.0), without their corresponding x-values or the diagram, it is not possible to determine the equation of the curve.
What are the advantages of using graphing calculator?
Graphing calculators provide a variety of advantages to students. They are powerful tools that allow students to graph equations, visualize data, and explore mathematical concepts.
Graphing calculators also provide students with a comprehensive set of math functions, including trigonometric, exponential, and logarithmic functions. This means that students can use them to solve complex equations, or to develop and graph mathematical models.
With a graphing calculator, students can easily manipulate the graph to explore the effect of changing variables on the equation. This is particularly useful for understanding calculus concepts, and for visualizing the effects of different mathematical operations.
Overall, graphing calculators provide a variety of advantages and are an invaluable tool for students studying mathematics.
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What is the solution to the linear equation?
를x 를 를
=
○ x=-5
-=x0
==x0
○x=5
The solution to the linear equation is x = -5
What is the solution to the linear equation?From the question, we have the following parameters that can be used in our computation:
2/3x - 1/2 = 1/3 + 5/6x
A linear equation in one variable is an equation that can be written in the form ax + b = c, where x is the variable, and a, b, and c are constants
Using the above as a guide, we have the following:
Multiply through by 6
So, we have the following representation
4x - 3 = 2 + 5x
Collect and evaluate the like terms
x = -5
Hence, the solution is x = -5
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the graph represents the number of different tacos ordered for an office lunch. in total, how many tacos were ordered?
Answer:
do you have the graph to solve it?
A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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NEED ANSWER NOW PLEASE 15 lb 7 oz − 6 lb 8 oz
Answer:
8 pounds and 15 oz
Step-by-step explanation:
Answer: 143 oz
Explanation: I searched it.
The Moore family received 23 pieces of mail on July 28 . The mail consisted of letters, magazines, bills, and ads. How many letters did they receive if they received five more ads than magazines, three more magazines than bills, and the same number of letters as bills?
A. The Moore family received 9 letters.
B. Let's break down the information given and solve for the number of letters received by the Moore family.
Let's assume the number of bills they received is x. According to the given information, the number of magazines is x + 3, and the number of ads is x + 5.
The total number of pieces of mail received is the sum of letters, magazines, bills, and ads, which is given as 23. We can write this as an equation:
Letters + Magazines + Bills + Ads = 23
Since we know the number of letters is the same as the number of bills, we can substitute x for both of them:
Letters + Magazines + x + x + 5 = 23
Simplifying the equation:
Letters + Magazines + 2x + 5 = 23
Now, we also know that the number of magazines is x + 3. Substituting this in the equation:
Letters + (x + 3) + 2x + 5 = 23
Combining like terms:
Letters + 3x + 8 = 23
Subtracting 8 from both sides:
Letters + 3x = 15
Since we are given that the number of letters is the same as the number of bills, we can substitute Letters = x:
x + 3x = 15
4x = 15
Dividing both sides by 4:
x = 3.75
Since x represents the number of bills, which is a whole number, we can conclude that the Moore family received 3 bills. Therefore, the number of letters they received is also 3, as stated in the problem.
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What does it mean to have 2 equal roots?
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
What is square root ?A number's root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as or as 3 x 3.
Here,
If an equation have 2 roots , it means it is a quadratic function
If D=0, a quadratic function has two roots that are equal.
D (discriminant) = 0
=>b24ac=0 is required for a polynomial function to have equal roots.
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
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Factor the polynomial by removing the common monomial factor. tx² +t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. tx + t = OB. The polynomial is prime.
The polynomial can be factored as t(x² + 1). the polynomial can be factored by removing the common monomial factor t. the common factor is t. Factoring out t,
To factor out the common monomial factor, we can look for the largest factor that divides both terms. In this case, the common factor is t. Factoring out t, we get:
tx² + t = t(x² + 1)
So the polynomial can be factored as t(x² + 1).
In summary, the polynomial can be factored by removing the common monomial factor t. We can factor out t from both terms to get t(x² + 1).
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1+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=2
lol
Answer:
1 + 1 equals 2.
Step-by-step explanation:
When you take one of something, and you add it to another 1 of something, then you get 2 of something.