A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
15.69 feet
18.01 feet
27.89 feet
36.72 feet
Answers
Answer:
hope this helps, brainlist? (OwO)
Step-by-step explanation:
I think the answer is 27.89 feet, C
The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Lenght of the ladder = 32 foot
The angle formed between the ladder and the ground = 29.37°
The ladder, wall of the building, and the ground are making a right-angle triangle.
Let's suppose the base of the ladder is x feet far from the building.
Applying the Cos ratio to find the value of x:
[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]
x = 27.887 feet or (Cos29.37° = 0.871)
x = 27.89 feet
Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
Know more about trigonometry here:
brainly.com/question/26719838
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Related Questions
jose is working two summer jobs making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours jose worked washing cars last week and the number of hours he worked walking dogs last week. define the variables that you use to write the system
Answers
Answer:
164
Step-by-step explanation:
add everything together 10+9+13+122 = 164.
a.
Group
The intervals of the horizontal axis.
b. The break in the vertical axis.
c. The break in the horizontal axis.
d. The intervals of the horizontal axis are not labeled correctly.
Answers
Which functions are linear
Answers
Answer:
its c
Step-by-step explanation:
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Answers
Step-by-step explanation:
540 = 4x-10+5x-11+128+4x+2+132
23= x
RST=104
QRS=82
TPQ=94
The value of x from the figure is 23
PolygonsThe sum of the interior angle of the pentagon is 540 degrees
Taking the sum of all the angles:
4x+2+132+4x-10+128+5x-11 = 540
4x+4x+5x+241 = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
Hence the value of x from the figure is 23
Learn more on polygons here: https://brainly.com/question/24966296
The theoretical probability of an event occurring is 3/4. Fill in the blank with a
number to complete each statement so that it best describes the expected
chances of the event occurring in an experiment. Out of 400 trials, the desired
outcome will occur approximately
times. *
Answers
Answer:
300 times
Step-by-step explanation:
Answer:
The answer is out of every 5, the desired out come will be approximately 2 times.
Step-by-step explanation:
Please see screenshot
Answers
Answer:. 151/99
Step-by-step explanation:
Take the repeating digits from the decimal equivalent, 52 and place them as the numerator of a fraction with 99 as the denominator. That is 52/99
We can verify this value by doing the long division, or enter the values as 52÷99 on a calculator.
For the improper fraction:
Convert the whole number, 1, to its equivalent, 99/99. ( If the whole number is other than 1, multiply it by the denominator and use the product as the numerator. )
Add the numerators: 52 + 99 = 151
Our improper fraction equivalent of 1.525252 is 151/99
[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((
Answers
Step-by-step explanation:
[tex]y = {2}^{x} [/tex]
This is a basic exponential function.
[tex]y = {2}^{ - x} same \: as \: y = 0.5 {}^{x} [/tex]
The (-x) exponent makes a reflection in the y-axis.
4/5(x+1) write the expression in standard form
Answers
Explanation: Hope this helps
What is the slope of the linear function represented in
the table?
Answers
Answer: C) 1/7
Step-by-step explanation:
Find the Slope
(−7, 0) , (0, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
[tex]y_2 -y_1[/tex]
m = ______
[tex]x_2 - x_1[/tex]
Substitute in the values of x and y into the equation to find the slope.
1 − (0)
m = ______
0 − (−7)
Simplify the numerator.
1
m = ______
0 − (−7)
Simplify the denominator.
Multiply −1 by −7.
1
m = _____
0 + 7
Add 0 and 7.
1
m = ___
7
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
22-18-25,
19-24-30,
7-24-25
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
22-18-25,
19-24-30,
7-24-25
answerrrrrr ??????????
Answers
Answer:
19
Step-by-step explanation:
Sub the x with 6
30 - 11 = 19
Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.
Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same
Answers
Answer:
line plots do you mean number line, cos no pic is attached
What is the surface area of a unit cube?
Answers
Answer:
6 units
Step-by-step explanation:
The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.
Y-4x=9 in standard form please show your work
Answers
Answer:
y = x + 9/4 or y = x + 2 1/4
Step-by-step explanation:
y - 4x = 9
y - x = 9/4 (divide both sides by 4)
y = x + 9/4 (Add x to both sides)
1
The bill at a fancy restaurant is $240. You want to tip 15%. How much will the waitress receive as a tip? *
Please explain your work
A $24
B $36
C $15
D $204
Answers
Answer:
answer is c:36. 240x.15=36
what is the intial value of the function represented by this graph (7,6) (0,3)
Answers
Answer: 7
i took the test
Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4
Answers
Answer:
Option A. y = 4x
Step-by-step explanation:
From the question given above, the following data were obtained:
X >> Y
3 >> 12
4 >> 16
5 >> 20
6 >> 24
7 >> 28
Next, we shall use each of the options to obtain the first two value of y to which will correspond to the table above. This is illustrated below:
For Option A:
1. y = 4x
x = 3
y = 4 × 3
y = 12
2. y = 4x
x = 4
y = 4 × 4
y = 16
For Option B:
1. y = 4x + 12
x = 3
y = 4(3) + 12
y = 12 + 12
y = 24
2. y = 4x + 12
x = 4
y = 4(4) + 12
y = 16 + 12
y = 28
For Option C:
1. y = ¼ x
x = 3
y = ¼ × 3
y = ¾
2. y = ¼ x
x = 4
y = ¼ × 4
y = 1
For Option D:
1. y = ¼x + 12
x = 3
y = ¼(3) + 12
y = ¾ + 12
y = 51/4
2. y = ¼x + 12
x = 4
y = ¼(4) + 12
y = 1 + 12
y = 13
From the calculations made above, only option A ie. y = 4x correspond to the data given in the table above.
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
Question 4 options:
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → +∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:
A)
x = –1, 1
B)
x = –1, 1∕4, 1
C)
x = –1, –1∕4, 1
D)
x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:
A)
x = 0, 2, 4
B)
x = –2, –4
C)
x = 2, 4
D)
x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:
A)
Odd
B)
Not enough information given
C)
Neither odd nor even
D)
Even
Question 8 (5 points)
image
The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:
A)
(x – 3)(x + 2)(x + 5)
B)
(x + 2)(x – 5)
C)
(x – 3)(x + 5)
D)
(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:
A)
left 2 and downward –3.
B)
right 2 and upward 3.
C)
left 3 and downward 2.
D)
right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:
A)
x + 2
B)
x – 3
C)
x – 2
D)
x + 3
Answers
The solutions to the functions are
a) x → –∞, y → +∞ and as x → +∞, y → –∞
b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4
c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4
d) The function is odd
e) The three factors of the function are (x - 3)(x + 2)(x + 5)
f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3
g) The factor of the function is a = x - 3
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
a)
Let the function be represented as f ( x )
Now , the value of f ( x ) = -5x³ + 3x² + x - 9
The end behavior of the function is given as
As x → –∞, y → +∞ and as x → +∞, y → –∞
b)
Let the function be represented as f ( x )
Now , the value of f ( x ) = 4x³ - x² - 4x + 1
On factorizing the equation , we get
f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )
f ( x ) = ( x² - 1 ) ( 4x - 1 )
Taking the common factors of the expression , we get
f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )
f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )
Therefore , the solutions of the equation are x = -1 , 1 , 1/4
c)
Let the function be represented as f ( x )
Now , the value of f ( x ) = x³ + 6x² + 8x
On factorizing the equation , we get
f ( x ) = x ( x² + 6x + 8 )
Taking the common factors of the expression , we get
f ( x ) = x ( x + 4 ) ( x + 2 )
So , the solution of the function are x = 0, -2, -4
d)
The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function
e)
The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )
f)
Let the function be f ( x )
Now , the translated function is g ( x ) = f ( x - 2 ) + 3
The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3
g)
The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )
Hence , the functions are solved and factorized
To learn more about factorizing click :
https://brainly.com/question/804076
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Can anyone help me with these two questions? Worth 50 points!!
Answers
Answers:
Up to down (The y-coordinate is the vertical line in the coordinate plane)
Zero (A slope is made from how much the line rises divided by the distance it takes to do so, a flat, horizontal line will not rise, and therefore will have a slope of 0)
Answer:
1. is B: Up to Down
2. is C: zero
Step-by-step explanation:
The y-coordinate is the vertical line of the graph, so it is up to down.
When you have a horizontal line, that means you have a zero function meaning there is no coordinate on the x-axis.
A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression.
B.) What is the EXACT volume of the sphere when the diameter is 2/3 centimeter?
Answers
Answer:
[tex]\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3[/tex]
Operating
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}[/tex]
Simplifying
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3[/tex]
B.)
The diameter of the sphere is 2/3 cm, thus the volume is:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3[/tex]
Operating:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}[/tex]
[tex]\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi[/tex]
[tex]\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}[/tex]
Solve for s.
9 − 2s − 10s = –10s − 7
Show work
Answers
Answer:
s=8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Cancel equal terms on both sides of the equation
9 - 2s = - 7
Move the constant to the right-hand side and change its sign
-2s = - 7 - 9
Calculate the difference
-2s = -16
Divide both sides of the equation by -2
s = 8
Explain why the expressions 8x(6-4) and 8x6-4 dont not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)
Answers
Answer:
Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything
help plz i’ll give brainliest
Answers
Answer: d
Step-by-step explanation:
what is the circumference of a 12mm circle
Answers
Answer:
The circumference is 37.7 mm.
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answers
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
what is 14x three over seven
Answers
The equation of line j is y=5/7x-9. Line k, which is parallel to line j, includes the point (-7, 1 ). What is the equation of line k ?
Answers
Answer:
math waaayys can help you
Step-by-step explanation:
(x - 3)2 + (y + 7)2 = 121 what's the radius
Answers
Answer:
[tex]r=11[/tex]
Step-by-step explanation:
The equation of a circle is commonly denoted as:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.
This equation is already written in that format, therefore:
[tex]r^2=121,\\r=\fbox{$11$}[/tex],
Find mike average monthly income based on these weekly incomes
Answers
Answer:
Mike's average monthly salary is $ 1,814.
Step-by-step explanation:
To determine Mike's average monthly salary, taking into account that he earns $ 284, $ 292, $ 418, $ 350, and $ 470 weekly, these amounts must be added for the 5-week duration of the month through the following calculation:
284 + 292 + 418 + 350 + 470 = X
1814 = X
Thus, given that this sum totals $ 1,814, Mike's average monthly salary is $ 1,814.
PLEASE HELP ME PLEASEEEEEEEEEEEEEE