Using trigonometric ratio, the height of the building is 72 feet
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
In this question, we need to use trigonometric ratio to find the height of the building.
Using tangent of the angle;
tan θ = opposite / adjacent
tan 45 = x / 52
x = 52tan45
x = 52
From the top of the building to the window level of the other building, the distance is 52 feet.
The height of the building = 52 + 20 = 72 feet
Learn more on angle of elevation here;
https://brainly.com/question/25748640
#SPJ1
You walk 15 miles to a clothing store. Then you walk another 34 miles to a shoe store. How many miles have you walked in all?
Answer: 49 Miles
Step-by-step explanation:
You would add the original 15 miles to the 34 to get 49 in total.
49 Miles is how much you've walked.
write a trinomial that has a factor of X +3 and a GCF of -5x
Answer:
it is - 15 please mark me brainliest
FREE BRAINLiest IF YOU ANSWER CORRECTLY!!(jwo26)
Answer:
what is the question? u do not say
Answer:
Whats the question?
Step-by-step explanation:
out of a random sample of 1000 dutch men, how many would we expect to be taller than cm (rounded to the nearest whole number)?
Rounding to the nearest whole number, we would expect approximately 251 Dutch men out of a random sample of 1000 to be taller than 190 cm.
To determine how many Dutch men we would expect to be taller than a certain height out of a random sample of 1000, we can use the normal distribution and the properties of the standard normal distribution. We are given that the average height of Dutch men is 183 cm with a standard deviation of 10.5 cm.
To find the probability of a Dutch man being taller than a certain height, we need to convert that height to a standard score or z-score using the formula:
z = (x - μ) / σ
where x is the height we are interested in, μ is the population mean height of Dutch men, and σ is the population standard deviation of Dutch men.
Once we have calculated the z-score, we can use a standard normal distribution table or calculator to find the probability of a Dutch man being taller than that height.
For example, if we want to find the number of Dutch men we would expect to be taller than 190 cm, we can calculate the z-score as:
z = (190 - 183) / 10.5 = 0.67
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being greater than 0.67 is approximately 0.2514.
To find the number of Dutch men we would expect to be taller than 190 cm out of a sample of 1000, we can multiply the probability by the sample size:
1000 * 0.2514 = 251.4
To learn more about distribution click on,
https://brainly.com/question/14555226
#SPJ4
Complete question is:
Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a men of 183 cm and standard deviation of 10.5cm. out of a random sample of 1000 dutch men, how many would we expect to be taller than cm (rounded to the nearest whole number)?
Can you please answer this
Answer:
4:1 or 4/1
Step-by-step explanation:
To do this, first find the number of free throws he missed by doing 15 - 12 = 3.
Then, the ration would just be 12:3 and would simplify to 4:1. As a fraction, this is 4/1
A circle is described by the equation x2 y2 14x 2y 14 = 0. what are the coordinates for the center of the circle and the length of the radius?
Answer:
length is (-7,-1) and radius is 6
Step-by-step explanation:
We are given the expression of the equation of a circle that is
x2 + y2 + 14x + 2y + 14 = 0.
Using completing the squares:
x2 + y2 + 14x + 2y + 14 = 0(x+7)^2 + (y+1) ^2 = -14 + 49 + 1(x+7)^2 + (y+1) ^2 = 36 center thus is at (-7,-1) and the radius is equal to square root of 36 equal to 6.
. Find the sum of the following polynomials.
1. 10mn and -15mn ____________________________________________
2. -7a
2
and -8a
2
____________________________________________
3. 6(x+3) and -7(x+3) ____________________________________________
4.
1
4
ab and -
1
4
ab ____________________________________________
5. 0.5 xyz and 1.5 xyz
Answer ad Step-by-step explanation:
1. Adding 10mn and -15mn.
10mn + -15mn = -5mn.
2. Adding \(-7a^{2}\) and \(-8a^{2}\).
\(-7a^{2} + -8a^{2} = -15a^{2}\).
3. Adding 6(x + 3) and -7(x + 3).
6x + 18 + -7x - 21
x - 3.
4. Adding ?
5. Adding 0.5xyz and 1.5 xyz.
0.5xyz + 1.5xyz = 2xyz.
#teamtrees #PAW (Plant And Water)
Do the side lengths 4 8 and 10 form a triangle?
Yes, they do form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle.
Yes, the side lengths 4 8 and 10 can form a triangle. This is because the sum of any two sides in a triangle must be greater than the third side. In this case, 4 + 8 is greater than 10, so it meets the criteria for a triangle. A triangle is defined as a polygon with three sides and three angles, and is one of the basic shapes in geometry. It is also one of the most studied shapes in mathematics due to its wide range of applications. The three angles of a triangle must add up to 180 degrees, and the three sides must satisfy the triangle inequality, meaning that the sum of any two sides must be greater than the third side. Additionally, the interior angles of a triangle are always equal to the sum of two exterior angles. Knowing this, it can be seen that the side lengths 4 8 and 10 can form a triangle, as the sum of any two sides is greater than the third side.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
2. The two equations y = (x + 2)(x + 3) and y = x? + 5x + 6 are equivalent.
a. Which equation helps find the x-intercepts most efficiently?
b. Which equation helps find the y-intercept most efficiently?
Answer:
it b
Step-by-step explanation:
a) y = (x + 2)(x + 3) helps find the x-intercepts most efficiently.
b) y= \(x^{2} +5x+6\) helps find the y-intercept most efficiently
What is intercepts?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given that:
a) y= (x+2)(x+3)
i.e., x+2= 0 , x+3 = 0
x= -2 , x= -3
and, y = \(x^{2} +5x+6\)
= (x+2)(x+3)
x= -2 and y= -3
y = (x + 2)(x + 3) helps to find the x-intercepts most efficiently
Now,
b) y=(x+2)(x+3)
x =0 , y = 2 x 3 =6
y= \(x^{2} +5x+6\)
y= 0 +05 x 0 + 6
y= 6
So, for y-intercept use y= \(x^{2} +5x+6\)
Learn more about intercepts here:
https://brainly.com/question/14180189
#SPJ2
The volume of the barge is 67,200 and us a rectangular prism
Due to the fact that there has to be some percentage of the barge above the water, they can only be loaded 3/4 of their depth. What volume of cargo can the barge actually carry?
Now i spent 40 points I forgot to include the volume of the barge.
Answer:
this one is hard ill consult my agent
Step-by-step explanation:
i like revenge
whar is 10^-3 written as a positive exponent
Answer:
\(\frac{1}{10^{3} }\)
Step-by-step explanation:
Given expression:
10⁻³
To make this expression to a form with a positive exponent, we have to apply one of the rules of exponents;
a⁻ᵇ = \(\frac{1}{a^{b} }\)
So;
10⁻³ = \(\frac{1}{10^{3} }\)
can someone help with this here’s a pic of the problem
It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.
I'm assuming this is pertaining to similar polygons.
The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125
What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11
Square this linear scale factor to get the area scale factor
(1/8)^2 = (0.125)^2 = 0.015625
This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get
4928*0.015625 = 77
This is how your teacher got 77 as the final answer for figure B.
------------------------------------------------------
Admittedly this concept is a bit confusing at first.
Let's do another example.
Consider a 2 by 3 rectangle of area 2*3 = 6 square units.
Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.
Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.
new area = (area scale factor)*(old area)
new area = 16*(old area)
new area = 16*6
new area = 96
This shows that 16 is the area scale factor.
|| v || = 3 || w || = 3 The angle between v and w is 2.8 radians. Given this information, calculate the following: (a) v. w = ? (b) ||1v + 4w|| = ? (c) ||4v — 4w|| =
The answer to (c) is ||4v — 4w|| ≈ 27.07.
Given that || v || = 3, || w || = 3, and the angle between v and w is 2.8 radians. We can calculate the following:(a) v. w = ?The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them.
Therefore, v.w = ||v|| ||w|| cos θWhere, θ is the angle between v and w. So, v.w = 3×3 cos(2.8) ≈ -3.20 Therefore, v.w ≈ -3.20.(b) ||1v + 4w|| = ?
The magnitude of the vector ||1v + 4w|| can be calculated as follows:||1v + 4w|| = √((1v + 4w).(1v + 4w))= √(1v.1v + 8v.w + 16w.w) Substitute the value of v.w we obtained above and calculate||1v + 4w|| = √(9 + 8×(-3.20) + 16×9)≈ 9.97
Therefore, ||1v + 4w|| ≈ 9.97.(c) ||4v — 4w|| =Similarly, the magnitude of the vector ||4v — 4w|| can be calculated as follows:
||4v — 4w|| = √((4v — 4w).(4v — 4w))= √(16v.v — 32v.w + 16w.w) Substitute the values of v.w and ||v|| we obtained above and calculate||4v — 4w|| = √(16×9 — 32×(-3.20) + 16×9)≈ 27.07 Therefore, ||4v — 4w|| ≈ 27.07.
The answer to (a) is v.w ≈ -3.20. The answer to (b) is ||1v + 4w|| ≈ 9.97. The answer to (c) is ||4v — 4w|| ≈ 27.07.
To know more about magnitudes visit:
https://brainly.com/question/31022175
#SPJ11
If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
To learn more about proportionality, click here: brainly.com/question/28194586
#SPJ11
Can some body please help me whit this question?
8 - (7/10)t = 6 - (1/5)t Thx
Answer:
8-(7/10)t=6-(1/5)t - Get Easy Solution
Simple and best practice solution for 8-(7/10)t= 6-(1/5)t equation. Check how easy it is, and learn it for the future. Our solution is simple,
Step-by-step explanation:
make me as brain liest
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
i tell you the the product of the numbers is 24 and one of the numbers is 4. what is the probability the other number is odd
Answer:
if i see the picture
i can probaly help
Step-by-step explanation:
Write 2 equivalentexpressions forthe followingexpression.12x + 16x
In order to find two equivalent expressions for the given expression, first let's add the like terms:
\(\begin{gathered} 12x+16x\\ \\ =(12+16)x\\ \\ =28x \end{gathered}\)Now, instead of adding like terms, let's factor the expression using the common factor 4x:
\(\begin{gathered} 12x+16x\\ \\ =4x(\frac{12x}{4x}+\frac{16x}{4x})\\ \\ =4x(3+4) \end{gathered}\)So two equivalent expressions are 28x and 4x(3+4)
solve for h h+6/5=2
Answer:
h=0.8
Step-by-step explanation:
Steps
$h+\frac{6}{5}=2$
$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$
$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$
Show Steps
$\mathrm{Simplify}$
$h=\frac{4}{5}$
Answer:
The answer would be 2h
Step-by-step explanation:
please let this be helpful
in the simplex method, the pivot column is the column with the most negative number (to the left of the vertical bar) in the bottom row. why?
The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.
What is pivot column in simplex method?
The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.
A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.
The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.
To learn more about Simplex method's visit:https://brainly.com/question/15058261
#SPJ4
A collection of quarters and dimes has a total value of $5 and contains 32 coins. How many of each kind of coin are in the collection?
Step-by-step explanation:
Let q be the number of quarters and d be the number of dimes.
We have q + d = 32 and $0.25q + $0.10d = $5.
=> 5q + 2d = 100 and q + d = 32
Therefore we get q = 12 and d = 20. (12 quarters and 20 dimes)
The number of coins of quarters and dimes will be 12 and 20, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A collection of quarters and dimes has a total value of $5 and contains 32 coins.
Let 'x' be the number of quarters and 'y' be the number of dimes. Then the equations are given as,
x + y = 32 ...1
0.25x + 0.10y = 5 ...2
From equations 1 and 2, then we have
0.25 x + 0.10 (32 - x) = 5
0.25 x + 3.2 - 0.10 x = 5
0.15 x = 1.8
x = 1.8 / 0.15
x = 12
Then the value of the variable 'y' is given as,
12 + y = 32
y = 32 - 12
y = 20
The number of coins of quarters and dimes will be 12 and 20, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Give the slope and the y-intercept of the line y=-6x-2 Make sure the y-intercept is written as a coordinate. This means the y-intercept must be in the form (0,b)
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).
To know more about coordinate visit:
https://brainly.com/question/16634867
#SPJ11
Select all of the following that are polar representations of the point: (2,30°)
1. (−2,−30°)
2. (−2,330°)
3. \((2,\frac{\pi }{6})\)
4. (2,−330°)
5. \((-2,\frac{7\pi }{6} )\)
The polar representation of the point (2, 30°) is given by options 3. (2, π/6) and 5, (-2, 7π/6). In polar representation, a point is represented by its distance from the origin (r) and the angle it makes with the positive x-axis (θ).
The given point (2, 30°) has a distance of 2 units from the origin and makes an angle of 30° with the positive x-axis.
Option 3, (2, π/6), represents the same point in radians. The angle π/6 is equivalent to 30°, so it matches the given polar representation.
Option 5, (-2, 7π/6), represents the point (-2, -330°) in radians. The angle 7π/6 is equivalent to -330°, so it also matches the given polar representation.
Options 1, 2, and 4 do not match the given polar representation. Option 1, (-2, -30°), has the correct distance but the angle is negative. Option 2, (-2, 330°), has the correct angle but the distance is negative. Option 4, (2, -330°), has the correct distance but the angle is negative.
Therefore, options 3 and 5 are the polar representations that match the given point (2, 30°).
To learn more about polar representation, refer:-
https://brainly.com/question/2288726
#SPJ11
If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Learn more about Polynomial Function at
brainly.com/question/11298461
#SPJ4
1-2 (14+4) divided by 36
Answer:
0
Step-by-step explanation:
1-2(14+4)/36
1-2(18)/36
1-36/36
1-1
=0
What mathematical term describes both 5. 3 and 8. 2 in the expression 5. 3x-8. 2y+11. 1?
Answer:
coefficients
Step-by-step explanation:
5.3 and 8.2 are coefficients since they are in front of an x and a y.
x and y are called variables.
any number on its own, ie without an x or y, is called a constant
please it do in 6 min i need help with this one please The following points are from a dilation. If
B(0 , 5 ) and B'(x, 2 0 ), what is x?
Answer:
The value of x = 0
Step-by-step explanation:
Given
B(0, 5)B'(x, 20)To determine
The value of x = ?
If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).
i.e. y → 5×4 =20
It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.
Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.
i.e. x → 4×0 = 0
Thus, the rule of dilation is:
P(x, y) = P'(4x, 4y)
Hence,
B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)
Thus,
The value of x = 0 ∵ 0×4 = 0
How you read 0.312 and 0.5
Answer:
Zero point three one two
Zero point five
Step-by-step explanation:
To say it follow these steps:
1) Look at the number.
2) Say the first number before the decimal, straightly, like if its 65 say it as 65, not six, then five.
3) Look after the decimal, maybe 312, as the question above. Say it as three one two, not three hundred and 2.
4) Add a point for the decimal.
5) Say it all together!
Hope this helps!
Answer:
zero point three one two and zero point five?
Please help me please
Answer:
It's option d (Line Segment TS)
Please mark as brainliest
Answer:
Line TS
Step-by-step explanation:
Write the inequality represented by the graph below.
Answer:
y > 3x - 1
Step-by-step explanation:
To find out what the linear inequality of the graph:
We need to determine its slope and y-intercept. Given the following points on the graph: (1, 2) and (0, -1)
Let (x1, y1) = (1, 2)
(x2, y2) = (0, -1)
To solve for slope, we'll use the formula:
\(m = \frac{y2 - y1}{x2 - x1}\)
\(m = \frac{y2 - y1}{x2 - x1} = \frac{-1 - 2}{0 - 1} = \frac{-3}{-1} = 3\)
Therefore, the slope = 3.
Next, we must determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). One of the points we used to solve for the slope reflects the coordinates of the y-intercept, (0, -1). Therefore, the y-intercept (b) = -1.
Now that we have our slope and y-intercept, we can establish the linear equation in slope-intecept form:
y = 3x - 1.
Since the upper half of the region is already shaded, then it means that the inequality symbol must be ">". Therefore, the linear inequality of the graph is y > 3x - 1.
Please mark my answers as the Brainliest if you find my explanations helpful :)