Answers
The length of h in the given figure is 25 cm.
In order to solve for the length of h in the given figure, we can make use of the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides
Let us label the three sides of the right triangle in the given figure:
a = length of side AB = 15 cmc = length of side BC = 20 cmh = length of side AC = ? cm
We know that the angle BAC is a right angle, so we can apply the Pythagorean theorem to solve for h.
According to the theorem:
h² = a² + c²h²
= (15)² + (20)²h²
= 225 + 400h²
= 625
Taking the square root of both sides, we get:h = 25
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Related Questions
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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The sum of two numbers is 37 and the difference is 15 . What are the numbers?
Answers
the first number is 11 and the second one is 26
Answer:
this is the answer with the working
1) En la figura que se muestra, si las rectas que están cortadas por la transversal son paralelas, entonces podemos concluir que las medidas de los ángulos 1 y 4 son iguales por el A) Teorema de los ángulos consecutivos internos B) Teorema de los ángulos alternos internos C) Teorema de los ángulos alternos externos D) Teorema de los ángulos correspondientes
Answers
En la figura que se muestra, La respuesta correcta es la opción B: Teorema de los ángulos alternos internos.
Qué es líneas?Generalmente, Cuando dos rectas son paralelas y son cortadas por una transversal, los ángulos alternos internos (es decir, los ángulos que están en posiciones opuestas en relación a la transversal y están en el mismo lado de la transversal) son congruentes. En este caso, los ángulos 1 y 4 son ángulos alternos internos y, por lo tanto, tienen la misma medida.
El teorema de los ángulos consecutivos internos se refiere a ángulos que están en posiciones opuestas en relación a la transversal y están en lados opuestos de la transversal.
El teorema de los ángulos alternos externos se refiere a ángulos que están en posiciones opuestas en relación a la transversal y están en el mismo lado de la transversal, pero están en el exterior de los dos pares de paralelas. El teorema de los ángulos correspondientes se refiere a ángulos que están en la misma posición en relación a las dos pares de paralelas.
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The following tables represent a function and its inverse. Compare the functions.
h(x)
h–1(x)
Which statements describe the functions? Check all that apply.
The domain of h–1(x) is the range of h(x).
The range of h–1(x) is the range of h(x).
The x-intercept of h–1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h–1(x) is the y-coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h–1(x).
Answers
the 3 correct statements are:
The domain of h⁻¹(x) is the range of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).Which statements describe the functions?For a function f(x), we define the inverse function f⁻¹(x):
This means that, if for a given value of x = x₀ we have:
f(x₀) = y₀
Then:
f⁻¹(y₀) = x₀
From this, we can conclude that the domain of f(x) is the range of the inverse, and the range of f(x) is the domain of the inverse.
Then the statements that are correct are:
The domain of h⁻¹(x) is the range of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).These 3 are the 3 correct statements.
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If I worked 4pm to 7am how many hours did I made?
Answers
Answer:
15 hours
Step-by-step explanation:
Last year, Gina's sweet potato farm produced 337 tons of sweet potatoes. This year, the sweet potato production increased by 40%. How many tons of sweet potatoes did Gina's farm produce this year? 427 tons 425 tons 447 tons 445 tons
Answers
So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.
What you mean by increasing?When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.
Given by the question.
To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:
40% of 337 tons = 0.4 x 337 = 134.8 tons
Adding this to last year's production gives:
337 + 134.8 = 471.8 tons
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Victor has some model planes. Last weekend, Victor and his grandfather built four more model planes to add to his collection. Now Victor has a total of 42 model planes.
Part A: In the first box, enter an equation to represent the number of planes, x, Victor originally had.
Part B: In the second box, enter the number of planes represented by x in this situation.
Answers
Answer:
x = 42 - 4
x = 38
Step-by-step explanation:
Given that :
Initial number of plane models = x
Number of additional models built = 4
Total number of planes = 42
Total = initial amount + additional amount
42 = x + 4
Make x the subject
42 - 4 = x + 4 - 4
x = 42 - 4
X + 4 = 42
X = 42 - 4
X = 38
What is the solution of √1-3x=x+3
Answers
Answer:
x = -1
Step-by-step explanation:
a square room has a floor area of 25 square feet. the height of the room is 6 feet. what is the area of all 4 walls
Answers
Answer:
100
Step-by-step explanation:
the room is square this means each wall equal 25 .4 walls *25 =100 square feet
Answer:120
Step-by-step explanation:
A store has a sale on paper cups, 2 packs for $15.00. There are
100 cups in each pack.
How many cups are you purchasing?
Answers
Answer:
15/2=7.5
7.5/100=0.075
0.075$ per cup.
-TheOneandOnly003
Hope this answer helps you :)
Have a great day :)
Mark brainliest
The question was “how many cups are you purchasing?”, not the cost per cup!
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
Answers
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Questlon 5 of 10 What is the solution to this equation? -6x + 3 = 21 O A. x = 4 OB. x = -4 O c. x= -3 O D. x= 3
Answers
We have the equation:
\(\begin{gathered} -6x+3=21 \\ -6x+3-3=21-3 \\ -6x=18 \\ x=\frac{18}{-6} \\ x=-3 \end{gathered}\)The solution is x=-3.
PLEASE HELP
Evaluate the integral [x√1-x dx
Answers
The value of the integral is \(\frac{2}{3}\) \(x\) \((1-x)^\frac{3}{2}\) - \(\frac{4}{15}\) \((1-x)^\frac{5}{2}\).
What is Integration?Integration simply can be defined as the method of finding the whole by adding up the parts.
This is actually the reverse process of differentiation.
The given integral is, ∫\(x\sqrt{1-x}\) dx
Integration by parts in an integral is defined as.
∫f(x) g(x) dx = f(x) ∫g(x) - ∫[f'(x)∫g(x)] dx
Let f(x) = x and g(x) = \(\sqrt{1-x}\)
Integral is,
∫\(x\sqrt{1-x}\) dx = [x ∫\(\sqrt{1-x}\) dx] - ∫[d/dx (x) ∫\(\sqrt{1-x}\)] dx
First let's find the following integral.
∫\(\sqrt{1-x}\) dx = ∫\((1-x)^\frac{1}{2}\) dx = \(\frac{2}{3}\) \((1-x)^\frac{3}{2}\)
Substituting in the main equation,
∫\(x\sqrt{1-x}\) dx = [x \(\frac{2}{3}\) \((1-x)^\frac{3}{2}\)] - ∫ [ \(\frac{2}{3}\) \((1-x)^\frac{3}{2}\)]
= \(\frac{2}{3}\) \(x\) \((1-x)^\frac{3}{2}\) - \(\frac{2}{3}\) × \(\frac{2}{5}\) \((1-x)^\frac{5}{2}\)
= \(\frac{2}{3}\) \(x\) \((1-x)^\frac{3}{2}\) - \(\frac{4}{15}\) \((1-x)^\frac{5}{2}\)
Hence the integration of the given function gives \(\frac{2}{3}\) \(x\) \((1-x)^\frac{3}{2}\) - \(\frac{4}{15}\) \((1-x)^\frac{5}{2}\).
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I am lost on this question i found both but it keeps on telling me i am incorrect
Answers
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
Which equation represents a line which is parallel to the line y = -3x – 1 ?
Answers
Answer:3x+y=-8
Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3
Evaluate the work below
Answers
Answer:
\(3 \sqrt{2} \)
Step-by-step explanation:
Given
\( \frac{ \sin(60) \sec(60) \cot(30) }{ \cos( 45) ) } \)
Using the unit circle, we know that
\( \sin(60) = \frac{ \sqrt{3} }{2} \)
\( \cos(45) = \frac{ \sqrt{2} }{2} \)
We can find sec and cot by using reciprocal identies.
\( \sec(x) = \frac{1}{ \cos(x) } \)
\( \cos(60) = \frac{1}{2} \)
So
\( \sec(60) = 2\)
\( cot(x) = \frac{1}{ \tan(x) } \)
\( \tan(30) = \frac{1}{ \sqrt{3} } \)
so
\( \cot(30) = \sqrt{3} \)
Plug in the values.
\( \frac{ \frac{ \sqrt{3} }{2} \times 2 \times \sqrt{3} }{ \frac{ \sqrt{2} }{2} } \)
\( \frac{ \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{12} }{1} }{ \frac{ \sqrt{2} }{2} } \)
\( \frac{3}{ \frac{ \sqrt{2} }{2} } \)
\(3 \sqrt{2} \)
If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
Answers
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
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Please awnser asap I am
Stuck
Answers
Answer:
it is too blury to read
Step-by-step explanation:
There are five consecutive odd integers. The sum of the three least integers is 3 more than the sum of the two greatest. Find the integers
Answers
Answer:
11, 13, 15, 17, 19
Step-by-step explanation:
The numbers: (x)+(x+2)+(x+4)+(x+6)+(x+8)
Given: (x)+(x+2)+(x+4) = 3+(x+6)+(x+8) => 3x + 6 = 2x + 17 => x = 11
The integers: 11, 13, 15, 17, 19
Answer:
7, 8, 9, 10 and 11
Step-by-step explanation:
Let:
a = smallest integer
Then the five consecutive integers in ascending order will be:
a, (a + 1), (a + 2), (a + 3), (a + 4)
According to the statement in the question:
a + (a + 1) + (a + 2) = (a + 3) + (a + 4) + 3
3a + 3 = 2a + 10
a = 7
Find the value of x
8,
9,
7,
10
Answers
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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if a person has 35 marbles and 27 of them are red then how manny other marbles r not red?
Answers
Answer:
So, the equation would be 35-27 which = 8
Step-by-step explanation:
What is the answer to this question?
Answers
Answer:
the answer is the top right option
Step-by-step explanation:
help!!! i need this by tonight :0!
Answers
Answer:
43
Step-by-step explanation:
We're to evaluate, |c² - d⁴| + (cd)², if c = 3 and d = -2
Substitute:
|3² - (-2)⁴| + (3 * -2)²
|9 - 16| + (-6)²
|-7| + 36
7 + 36 (absolute value of -7 = 7)
= 43.
Choose the value that makes the statement true.
In the number 2.016, the value of the digit 1 is 1 (select)
(select)
and the value of the digit 6 is 6
Answers
Standard Form: 2,016
Place Value: From left to right for 2,016
Digit Place Value
2 Thousands
0 Hundreds
1 Tens
6 Ones
Word Form:
2,016 =
two thousand sixteen
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
SUBNANT
Answers
Answer:
269
Step-by-step explanation:
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
2. The point (0,0) is a solution to which inequality?
A. y-9 < 3x - 10
B. y-9>3x + 10
C. y - 9 > 3x - 10
D. y + 9 > 3x + 10
Answers
Answer:
b
Step-by-step explanation:
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
Answers
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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3. If an investment company pays 6% compounded semiannually, how much should you deposit
now to have $10,000 5 years from now?
Answers
Answer:
$9,287.67
Step-by-step explanation:
Number of years 5
Interest per pd 3%
FV 10,000
Calculator.net has a financial calculator that will greatly help you
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The amount to deposits so that after 5 years, 10,000 is the amount is
$7,440.94
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
r = 6%
n = 2
A = $10,000
t = 5 years
A = P \((1 + r/n)^{nt}\)
P = 10,000 / \((1 + 0.03)^{10}\)
P = 10,000 / \((1.03)^{10}\)
P = $7,440.94
Thus,
The amount to deposits so that after 5 years, 10,000 is the amount is
$7,440.94
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The Heat (H) required to melt copper is proportional to the copper’s mass in grams (g). Suppose the number of calories to melt 1 gram of copper is represented by c . Which statements are true for this situation
Answers
Answer:
H = cg The number of calories to melt one gram is the constant of proportionality. Heat = calories(mass) Write as y = kx, where k is the constant of proportionality → H = cg → c is the constant of proportionality
Step-by-step explanation:
Helpppp asapppp !!!!!!!
Answers
Answer:
B
Step-by-step explanation:
i might be wrong if i am my bad