Answer:
37.3 ft
Step-by-step explanation:
tan A = opp/adj
tan 31° = x/62
x = 62 * tan 31°
x = 37.3 ft
The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.
Let h denote the tree if the point on the ground is 62 feet from the tree.
The angle of elevation = 31°. Hence:
tan 31° = h/62
h = 62 × tan 31°
h = 37.25 ft
Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
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£810 is divided between Paul, Brian & Colin so that Paul gets twice as much as Brian, and Brian gets three times as much as Colin. How much does Brian get.
Answer:
$486 (Paul)
$243(Brian)
$81(Colin)
Solving steps:
let Paul Be x, Brian be x,Colin be x
since Paul got twice as much as Brian which shows that brian and got three times
So Paul,= 3×2 so he got six times as much as the two others
while Brian got three times
and colins got once
so let's make an equation for this problem
=> 6x + 3x + x = $810
add 6 x + 3 x + x which give you 10 x
=> 10x = $810
divide both side by the coefficient of x
=> \( \frac{10x}{10} = \frac{810}{10} \)
=> \(x = \frac{810}{10} \)
=> x = 81
since you we have find what the value of x
insert into the previous equation which is
=> 6x + 3x + x
=> 6(81) = $486-----(for Paul)
3(81) = $243-------(for Brian)
(81) = $81 ---------(for Collin)
Find the value of x.
A) 870
C) 127°
E) 66°
B) 106°
D) 100°
Answer:
100
Step-by-step explanation:
y + 140 = 180 {Linear pair}
y = 180 - 140
y = 40
Given triangle is an isosceles triangle.
x + y + y = 180 {angle sum property of triangle}
x +2y = 180
x +2*40 = 180
x + 80 = 180
x = 180 - 80
x = 100
Which direction is clockwise and counterclockwise?
Answer:
Clockwise : going the way the clock hand goes (going right)
Counterclockwise : opposite of clock hand (going left)
Write in exponent form and word form 10 x 10
Answer:
\( {10}^{2}\)
and 10 to the second power I think this is what you mean't
what is the gfc of 8 and 24
Find area of trapezium
Answer:
To find the area of a trapezium you do 1/2(a + b)h
Step-by-step explanation:
The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it
If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.
The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:
Perimeter = 2(length + width)
We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:
38 = 2(L + 9)
Dividing both sides by 2, we get:
19 = L + 9
Subtracting 9 from both sides, we get:
L = 105
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Can someone please help me figure out the answer
Answer:
19 folders
Step-by-step explanation:
8 + 6 + 5 = 19
How to solve your problem: 8d+d+3d+2+4d
Answer:
d= -1/8
Step-by-step explanation:
8d+d+3d+2+4d= 16d+2
16d= -2
d= -1/8
in the scale drawing what will the length of the West side be?
QUACKITY SUPREMACY ALSO I NEED HELP WITH MATH
Answer:
QUACKITY IS THE MOST POG PERSON EVER
Step-by-step explanation:
BECAUSE I SAID SO
the teacher workroom has a small room used for the meetings that it shaped like a square . if one wall measures 8 feet what is the area of the floor of that meeting room
The area of the teacher workroom is 64 feet squared
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
Bbh. Pls help i am stuck and need it i give 25 pts thanks
Answer:
8 cm
Step-by-step explanation:
You want the base of a triangle, given its height is 3 cm. From the base of 12 cm, the same triangle has a height of 2 cm.
AreaThe area of a triangle is given by the formula ...
A = 1/2bh
The area will be the same for any (base, height) pair of dimensions. The height is always measured perpendicular to the base. The base is generally one side of the triangle.
ApplicationHere, the longest side is labeled 12 cm, and the perpendicular distance to the opposite vertex (height) is labeled 2 cm. This means the triangle area is ...
A = (1/2)(12 cm)(2 cm) = 12 cm²
The distance perpendicular to the unknown side is shown as 3 cm. This gives you a clue that using the area of the triangle to find the unknown side is probably useful.
A = 1/2bh
12 cm² = 1/2(b)(3 cm)
8 cm = b . . . . . . . . . . . . multiply by 2/(3 cm)
The value that goes in the box is 8.
__
Additional comment
The attachment is drawn to scale.
<95141404393>
determine the dc current gain βdc ( beta dc)for a transistor where ib 50µa and ic 3.65 ma
The DC current gain (βdc) of the transistor is 73.
The DC current gain (βdc) of a transistor is the ratio of the collector current (IC) to the base current (IB) at DC conditions. Therefore, to determine the βdc of a transistor with IB = 50 µA and IC = 3.65 mA, we simply substitute these values into the equation:
βdc = IC / IB
βdc = 3.65 mA / 50 µA
βdc = 73
Therefore, the DC current gain (βdc) of the transistor is 73.
This result indicates that for every 1 µA of base current, the transistor can allow 73 µA of collector current to flow. A high βdc value indicates that the transistor can provide significant amplification in a circuit. In addition, the βdc value is essential in selecting the appropriate biasing resistors and determining the operating point of the transistor in amplifier circuits.
Thus, by determining the βdc value, we can gain valuable insights into the performance characteristics of a transistor and how it can be used in various circuit designs.
Therefore, The DC current gain (βdc) of the transistor is 73.
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Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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how to make a calculator in c# windows form application
To create a calculator in a C# Windows Form application, you can follow these steps:
1. Open Visual Studio and create a new Windows Forms Application project.
2. Design the user interface of the calculator by dragging and dropping the necessary controls from the Toolbox onto the form. You will need buttons for numbers, arithmetic operations (+, -, *, /), and an equals (=) button. You can also add a text box to display the result.
3. Set properties for each control to specify their appearance and functionality. For example, you can set the text property of each button to represent the corresponding number or operation.
4. Write the code for handling button clicks and performing calculations. Double-click on each button to create an event handler for the Click event. Inside the event handler, you can access the button's text property to determine which button was clicked. Use conditional statements and switch-case statements to handle different button clicks.
5. Create variables to store the numbers entered by the user and the result of the calculations. You can use the double data type for these variables.
6. Implement the logic for performing calculations based on the button clicked. For example, when the "+" button is clicked, you can add the two numbers together and display the result in the text box. Similarly, you can handle other arithmetic operations.
7. Use the TryParse method to convert the button's text to a double value and store it in the appropriate variable. This will allow you to perform calculations correctly.
8. Display the result of the calculations in the text box by assigning the calculated value to the text property of the text box.
9. Test your calculator by running the application and clicking on the buttons to perform calculations. Verify that the calculator performs the desired calculations and displays the correct results.
Here is a simplified example of code for handling button clicks and performing calculations in a C# Windows Form application:
```csharp
private double firstNumber;
private double second number;
private string operation;
private void NumberButton_Click(object sender, EventArgs e)
{
Button button = (Button)sender;
textBox.Text += button.Text;
}
private void OperationButton_Click(object sender, EventArgs e)
{
Button button = (Button)sender;
operation = button.Text;
firstNumber = double.Parse(textBox.Text);
textBox.Clear();
}
private void EqualsButton_Click(object sender, EventArgs e)
{
secondNumber = double.Parse(textBox.Text);
double result = 0;
switch (operation)
{
case "+":
result = firstNumber + secondNumber;
break;
case "-":
result = firstNumber - secondNumber;
break;
case "*":
result = firstNumber * secondNumber;
break;
case "/":
result = firstNumber / secondNumber;
break;
}
textBox.Text = result.ToString();
}
```
Remember to adjust the code and customize the user interface according to your specific requirements.
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Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by , and the height remains the same. By what percentage does the volume of the can increase from the smaller can to the larger can
Answer:
Step-by-step explanation:
buenas tardes .....
solucion
Volumen de un cilindro: es igual al área de la tapa por la altura del mismo
A = πD² * h / 4
Lata grande y lata pequeña
Para la lata grande, el diámetro y la altura han aumentado un 20%.
Lata pequeña:
d = 4 cm
h = 3 cm
A 1 = π * (4) ² * 3/4
A1 = 37,70 cm²
Lata grande:
d = 4 * 1,2 = 4,8 cm
h = 3 * 1,2 = 3,6 cm
A2 = π (4,8) ²3,6 / 4
A2 = 65,14 cm²
Si 37,7 representa el 100%
65,14 representación x
x = 170%
El incremento del volumen es de un 70%
PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP
Explanation is in a file
bit.\(^{}\)ly/3a8Nt8n
A primary credit card holder's card has an APR of 11.99%. The current monthly balance, before interest, is $9,768.26. The cardholder makes a payment of $350 the first 11 months and then pays off the balance at the end of the 12th month. How much interest did the credit card holder pay?
$166.83
$999.09
$269.85
$462.53
the credit card holder paid a total of $349.26 in interest.
So the answer is not provided in the options.
How much interest did the credit card holder pay?To calculate the interest paid, we need to first determine the monthly interest rate, which is the annual percentage rate (APR) divided by 12:
Monthly interest rate = 11.99% / 12 = 0.9992%
Next, we can calculate the balance after each payment is made. For the first 11 months, the payment is $350 each month, so the balance after each payment is:
Month 1: $9,768.26 - $350 = $9,418.26
Month 2: $9,418.26 - $350 = $9,068.26
Month 3: $9,068.26 - $350 = $8,718.26
Month 11: $3,518.26 - $350 = $3,168.26
At the end of the 11th month, the balance is $3,168.26. This balance will accrue interest for one more month before the cardholder pays it off in full. The interest on this balance for one month is:
Interest = Balance x Monthly interest rate
Interest = $3,168.26 x 0.9992%
Interest = $31.66
Therefore, the total interest paid by the cardholder is the sum of the interest paid on the monthly balances for the first 11 months plus the interest paid on the remaining balance in the 12th month:
Total interest = (11 x $31.66) + $31.66 = $349.26
Therefore, the credit card holder paid a total of $349.26 in interest.
So the answer is not provided in the options.
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What information is necessary to prove two triangles are similar by the SAS similarity theorem?
Answer:
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
Step-by-step explanation:
Answer:
You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.
Step-by-step explanation:
find a formula an for the -n- th term of the following sequence. assume the series begins at =1.n=1. 11,−14,19,…
a formula an for the -n- th term of the following sequence. assume the series begins can be represented by the formula an = (-1)^(n+1)(8 + 3n).
To find the formula for the -n- th term of the sequence, we need to observe the pattern in the given sequence. We can see that the sequence is alternating between positive and negative numbers, and the difference between the consecutive terms is increasing by 5.
Starting from the first term, 11, we can write the sequence as:
11 - 14 + 19 - 24 + ...
To find the pattern, we can write the terms in terms of their positions:
a1 = 11
a2 = -14
a3 = 19
a4 = -24
We can see that the sign of each term is alternating. To represent this in the formula, we can use (-1)^(n+1), which will give -1 for odd values of n and 1 for even values of n.
The other part of the formula should represent the increasing difference between the consecutive terms. We can see that the difference between the first two terms is 25, between the second and third terms is 33, and between the third and fourth terms is 43. We can observe that the difference between the consecutive terms is increasing by 8, which is 5 times the position of the term.
Therefore, the formula for the -n- th term of the sequence is:
an = (-1)^(n+1)(8 + 3n)
The formula for the -n- th term of the given sequence is an = (-1)^(n+1)(8 + 3n).
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HELPPPPP PLEASEEEE DUE TONIGHT
Answer:
B) There were more sofas sold at Store B than at Store A
Step-by-step explanation:
Count up the number of sofas that each store sold, and then compare.
Hope this helped! :)
Evaluate the given value when y=5, when y= 8y-4y.
Ascume Inat the number of now vivitors to a website in onve hour is distitudted as a Posson random vaiatila. The ineain number of new visitore to the wobsitn is 2.3 por hour. Complete parts (a) through (d) bolow a. What is the probability that in any given hour zero new visitors will arrive at the website? The probability that zero new visitors will arrive is (Round to four decimal places as needed.) b. What is the probability that in any given hour exactly one new visitor will arrive at the website? The probability that exactly ohe new visitor will arrive is (Round to four decimal places as needed.) c. What is the probability that in any given hour two or more new visitors will arrive at the website? The probability that two or more new visitors will arrive is (Round to four decimal places as needed.) d. What is the probability that in any given hour fewer than three new visitors will arrive at the website?
The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.
a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.
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5 people are sitting around a table. Let x be the number of people sitting next to at least one woman and y be the number of people sitting next to at least one man. How many possible values of the ordered pair (x,y) are there? (For example, (5,0) is the pair if all 5 people are women, since all 5 people are sitting next to a woman, and 0 people are sitting next to a man.)
Let's consider the possible scenarios for the arrangement of the 5 people around the table in terms of their gender. Since there are only two genders, namely men and women, we can have the following cases:
All 5 people are women: In this case, each woman is sitting next to 4 other women, so x = 5 and y = 0. Therefore, the ordered pair is (5, 0).
4 people are women, and 1 person is a man: In this scenario, each woman is sitting next to 3 other women and the man. Thus, x = 4 and y = 1. The ordered pair is (4, 1).
3 people are women, and 2 people are men: In this case, each woman is sitting next to 2 other women and both men. Therefore, x = 3 and y = 2. The ordered pair is (3, 2).
2 people are women, and 3 people are men: Here, each woman is sitting next to 1 other woman and both men. Hence, x = 2 and y = 3. The ordered pair is (2, 3).
1 person is a woman, and 4 people are men: In this scenario, the woman is sitting next to all 4 men. So, x = 1 and y = 4. The ordered pair is (1, 4).
All 5 people are men: In this case, each man is sitting next to 4 other men, so x = 0 and y = 5. The ordered pair is (0, 5).
To summarize, we have the following possible ordered pairs: (5, 0), (4, 1), (3, 2), (2, 3), (1, 4), and (0, 5). Therefore, there are six possible values for the ordered pair (x, y).
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3x + 2 ≥ 4x + 8 solve and graph the solution to the inequality
answer : x≤-6
steps:
3x+2≥4x+8
-x≥6
x≤-6
Answer:
x≤−6
View graph below
Step-by-step explanation:
x≤−6
Solution Steps
3x+2≥4x+8
Subtract 4x from both sides.
3x+2−4x≥8
Combine 3x and −4x to get −x.
−x+2≥8
Subtract 2 from both sides.
−x≥8−2
Subtract 2 from 8 to get 6.
−x≥6
Divide both sides by −1. Since −1 is negative, the inequality direction is changed.
x≤−6
X could be from -6 to -infinity.
A baseball is hit, following a path represented by x = 140t and y = 3.1 + 40t − 16t 2 for 0 ≤ t ≤ 3.
The fence, which is 10 feet tall, lies 320 feet away from home plate. Does the baseball travel over the fence? Justify your answer mathematically
The height of the ball will be 16.94 feet. Then the baseball travels over the fence.
Given that:
Distance at time t, x = 140t
Height at time t, y = 3.1 + 40t − 16t²
Height, h = 10 feet
Distance, x = 320 feet
The time is calculated as,
320 = 140t
t = 320/140
t = 16/7
The height at t = 16/7 is calculated as,
y = 3.1 + 40(16/7) − 16(16/7)²
y = 3.1 + 97.43 - 83.59
y = 16.94 feet
y > 10 feet
The height of the ball will be 16.94 feet. Then the baseball travels over the fence.
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please Help it’s urgent
Answer:
Angle IAJ
Step-by-step explanation:
X idea again. They are opposite to each other in the immediate area around them.