ASAPPPP HELP
A 10 foot ladder is placed against a wall at an angle of 25° with the
ground. How far up the wall does the ladder reach?
Round your answer to the nearest whole foot. DO NOT INCLUDE
UNITS IN YOUR ANSWER
Answers
Answer:
the ladder reaches 8 feet up
Step-by-step explanation:
:D
b=10sin25
4.2 ft
Related Questions
Consider the equation z^16=(−1−i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ, 0<θ<2π. Express your answer as z=re^iθ where r=______and theta=_________.Consider the equation z^13=(−1+sqrt3i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ,0<θ<2π. Express your answer as z=re^iθ where r=_________ and theta=__________
Answers
1. Considering the equation \(z^{16}\) = −1−i.The value of z which satisfies this equation and which has the second smallest positive argument θ, 0<θ<2π as z=r\(e^{i\theta}\) where r = \(\underline{2^{1/32}}\) and θ = 13π/64.
2. Considering the equation \(z^{13}=(-1+\sqrt{3i})\). The value of z which satisfies this equation and which has the second smallest positive argument θ,0<θ<2π as z=r\(e^{i\theta}\) where r = \(\underline{2^{1/13}}\) and θ = 8π/39.
1. The equation is z^{16} = -1 - i.
We have express our answer in the form of
\(\; z = re^{i\theta }\)
When we enter it into the first equation, we obtain,
\(r^{16}e^{16i\theta }=-1-i\; \; \; \; \; \; \; \; \; \; \; \;\)--(2)
Using the modulus of both sides, we obtain,
\(\left |r^{16} \right |\: \: \left | e^{16i\theta } \right |=\sqrt{\left ( -1 \right )^{2}+\left ( -1 \right )^{2}}\)
Simplifying
\(\; \; \; \; \; r^{16}=\sqrt{2}\)
Taking root of 16 on both side, we get
\(r=2^{1/32}\)
Plugging this value of 'r' back in equation (2), we get,
\(\sqrt{2}\; \; e^{16i\theta }=-1-i\)
Divide by √2 on both side, we get
\(e^{16i\theta }=-\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i\)
We can write \(e^{16i\theta }\) as
\(\; \; \; \;cos16\theta +isin16\theta =-\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i\)
On comparing, we get
\(\; \; \; \;cos16\theta=-\frac{1}{\sqrt{2}}\;, \; \; \; \; \; \; \; sin16\theta =-\frac{1}{\sqrt{2}}\)
Angle must therefore be in the third quadrant.
\(16\theta=\pi +\frac{\pi }{4}=\frac{5\pi }{4}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;16\theta=\frac{5\pi }{4}+2\pi =\frac{13\pi }{4}\)
\(\theta=\frac{5\pi }{64}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;\theta=\frac{13\pi }{64}\)
So, second smallest positive argument = 13π/64.
2) The equation is \(z^{13} = -1 +\sqrt{3i}\).
We have express our answer in the form of
\(\; z = re^{i\theta }\)
When we enter it into the first equation, we obtain,
\(r^{13}e^{13i\theta }=-1+\sqrt{3}i\; \; \; \; \; \; \; \; \; \; \; \;\)
Using the modulus of both sides, we obtain,
\(\left |r^{13} \right |\: \: \left | e^{13i\theta } \right |=\sqrt{\left ( -1 \right )^{2}+\left ( \sqrt{3} \right )^{2}}\)
Simplifying
\(r^{13}=2\)
Taking root of 13 on both side, we get
\(r=2^{1/13}\)
Reintroducing this 'r' value into the equation from \(r^{13}e^{13i\theta }=-1+\sqrt{3}\), we get,
\(2e^{13i\theta }=-1+\sqrt{3}i\)
Divide 2 on both side, we get
\(e^{13i\theta }=-\frac{1}{2}+\frac{\sqrt{3}}{2}i\)
We can write \(e^{13i\theta }\) as
\(\; \; \; \;cos13\theta +isin13\theta =-\frac{1}{2}+\frac{\sqrt{3}}{2}i\)
\(\; \; \; \;cos13\theta=-\frac{1}{2}\;, \; \; \; \; \; \; \; sin13\theta =\frac{\sqrt{3}}{2}\)
Angle must therefore be in the second quadrant.
\(13\theta=\pi -\frac{\pi }{3}=\frac{2\pi }{3}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;13\theta=\frac{2\pi }{3}+2\pi =\frac{8\pi }{3}\)
\(\theta=\frac{2\pi }{39}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;\theta=\frac{8\pi }{39}\)
So, second smallest positive argument = 8π/39.
To learn more about quadrant link is here
brainly.com/question/29298581
#SPJ4
Additive inverse of 400
Answers
Given:
A number is 400.
To find:
The additive inverse of 400.
Solution:
We know that the sum of a number and its additive inverse is 0.
If "a" is number and "b" is its additive inverse, then
\(a+b=0\)
Let x be the additive inverse of 400. Then,
\(400+x=0\)
Subtract both sides by 400.
\(400+x-400=0-400\)
\(x=-400\)
Therefore, the additive inverse of 400 is \(-400\).
For a standard normal distribution, find:
P(0.45 < z < 2.43) (round to 3 decimal places)
Answers
The probability that a standard normal variable is between 0.45 and 2.43 is 0.9314. This can be found using the standard normal table or by using a calculator with a statistical function.
A standard normal variable is a variable that has a normal distribution with a mean of 0 and a standard deviation of 1. The standard normal table shows the probability that a standard normal variable will be less than a certain value. To find the probability that a standard normal variable is between 0.45 and 2.43, we can look up 0.45 and 2.43 in the standard normal table. The table shows that the probability that a standard normal variable is less than 0.45 is 0.6772 and the probability that a standard normal variable is less than 2.43 is 0.9918.
We can then subtract these two probabilities to find the probability that a standard normal variable is between 0.45 and 2.43:
0.9918 - 0.6772 = 0.3146
This means that there is a 31.46% chance that a standard normal variable will be between 0.45 and 2.43.
Rounded to 3 decimal places, the answer is 0.9314.
To learn more about standard normal variable click here : brainly.com/question/30911048
#SPJ11
Write the letter of the correct answer on your answer sheet. If your answer is not found among
the choices, write the correct answer.
For items 1-5, refer to the graph at the right.
____1. Which of the following could be the equation of the parabola?
A. = ( − 2)2 + 1 C. = ( + 1)2 + 2
B. = ( + 2)2 + 1 D. = ( − 1)2 + 2
____2. Determine the y- intercept of the graph?
A. = −5
C. = 5
B. = −3
D. = 3
____3. What is the range of the parabola?
A. {:≥1}
C. {:≥ -1}
B. {:≤1}
D. {:≤ -1}
____4. What is the axis of symmetry of the graph?
A. x = 2
C. y = 2
B. x = 1
D. y = 1
____5. What is the vertex of the parabola?
A. (-2, -1)
C. (2, 1)
B. (-2, 1)
D. (2, -1)
____6. Describe the graph of () = −2 + 6 − 24
A. Opens to the right
C. Opens to the left
B. Opens upward
D. Opens downward
____7. What is the y-intercept of the parabola defined by the equation = ( + 2)2?
A. -4
B. -2
C. 2
D. 4
____8. What is the minimum value of the graph of the quadratic function = 2 + 4?
A. -4
B. -2
C. 2
D. 4
____9. What is the vertex of the parabola having the equation y = (x – 3)2 + 1?
A. (3, -1)
B. (-1, 3)
C. (1, 3)
D. (3, 1)
____10. What is the vertex form of the equation =2−4+7?
A. =(−2)2−3
C. =(+2)2−3
B. =(−2)2+3
D. =(+2)2+3
____11. The equation of the axis of symmetry of the function = −22 + 5 is____.
A. x = 5
C. − 4
3
B. x= -2
D. 5
4
____12. Which of the following equations of parabola has a wider opening? A. y = 1
4
2
C. y = 3x2 B. y = 1
2
2
D. y = 5x2
____13. Determine the equation of the resulting graph when the parabola with the equation
y = x2 + 3, is shifted 4 units downward.
A. y = x2 – 4
C. y = x2 + 1
B. y = x2 – 1
D. y = x2 + 7
For items 14-15, refer to the graph at the right.
____14. Which of the following could be the equation of the parabola?
A. = −2 + 5
C. = 2
2
+ 5
B. = − 2
2
= 5
D. = 2 + 5
____15. What is the vertex of the parabola?
A. V(-5, 0)
C. V(0, 5)
B. V(0, -5)
D. V(5, 0)
Answers
Answer:
Hello dear asker, you have to put the picture of the graph, then I would be happy to help
Tell me the answer and help me explain please
Answers
Answer:
The answer is 9/10
Step-by-step explanation:
8/10 is the same thing as ⅘, ⅘ is just simplified
⅖ is less than ⅘ so it would come before c
6/5 is more than 1 so it wouldn’t be on that number line.
Answer:
OK.
My answer is based on 2 things.
1. That the furthest point on the left is 0( That other little distance is ignored)
2. That the point C is equidistant from 4/5 and 1.
If so..
Then
4/5 + x + x =1
4/5 +2x = 1
2x= 1-4/5
x=1/10
Now
From 4/5 to C is x...
Then Position C would be
4/5 + 1/10
c= 9/10
Or by simply making guesses...
All Other options are greater than 1... So It can't be those cos C is less than 1
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
Answers
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
Learn more about trigonometric function here
brainly.com/question/25618616
#SPJ4
A block hangs in equilibrium from a vertical spring. The equilibrium position sags by 6.00 cm when a second identical block is added. What is the oscillation frequency of the two-block system?
Answers
A block hangs in equilibrium from a vertical spring. The equilibrium position sags by 6.00 cm when adding a second identical block. The oscillation frequency of the two-block system is approximately 1.44 Hz.
To find the oscillation frequency of the two-block system, we can use Hooke's Law and the formula for the frequency of simple harmonic motion.
Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. Mathematically, it can be expressed as:
F = -kx
where F is the force applied by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
In the equilibrium position, the force exerted by the spring is balanced by the weight of the block(s), resulting in zero net force. Thus, we have:
mg = kx_eq
where m is the mass of one block, g is the acceleration due to gravity, and x_eq is the equilibrium displacement of the spring.
When a second identical block is added, the total mass becomes 2m. The equilibrium displacement increases to 2x_eq due to the additional weight. We are given that the equilibrium position sags by 6.00 cm, so we have:
2mg = k(2x_eq)
2mg = 4kx_eq
Dividing both sides by 2m, we get:
g = 2kx_eq / m
The angular frequency (ω) of the two-block system can be calculated using the formula:
ω = √(k / m)
The oscillation frequency (f) can be calculated as:
f = ω / (2π)
To find the oscillation frequency, we need to find k/m. From the equation above, we have:
k/m = (g / 2x_eq)
Substituting the given values, g = 9.8 m/s² and x_eq = 6.00 cm = 0.06 m:
k/m = (9.8 m/s²) / (2 * 0.06 m)
k/m = 81.67 N/m
Now, we can calculate the angular frequency and the oscillation frequency:
ω = √(81.67 N/m / m) = √(81.67 s⁻²) ≈ 9.04 rad/s
f = ω / (2π) ≈ 9.04 rad/s / (2π) ≈ 1.44 Hz
Therefore, the oscillation frequency of the two-block system is approximately 1.44 Hz.
Learn more about oscillation frequency:
https://brainly.com/question/12950704
#SPJ11
Please help! i also have to show work, so please make it as clear as possible :)
Answers
Answer:
Check below or above
Step-by-step explanation:y
what if in example 4 find the measure of each acute angle when the measure of one acute angle in the triangle s three times the measure if the other
Answers
The measure of acute angle are 22.5 degree and 67.5 degree
Acute angles are those angle which is less than 90 degree.
According to the question,
Given that One acute angle in triangle is 3 times the measure of the other in Right angled triangle
Let "x" be the one acute angle
Then, the other acute angle will be = 3x
As we know , the sum of three angles in triangle is 180°
Therefore, x + 3x + 90 = 180
=> 4x = 180 - 90
=> 4x = 90
=> x = 90 / 4
=> x = 22.5°
Hence , the measure of each acute angle is 22.5 and 67.5 degree
To know more about Acute angle here
https://brainly.com/question/10334248
#SPJ4
1/8 x (1/3) power of 2
Answers
What is the solution to the equation 4x-6-10x-3? O x=-2 0 x = 1/2 Ox=2
Answers
a construction worker needs to pour a rectangular slab 23 ft long, 24 ft wide, and 8 in thick. how many cubic yards does the construction worker need?
Answers
Answer:
13.63 cubic yards
Step-by-step explanation:
we are asked to find the volume of the slab in cubic yards, hence we have to be sure that all the lengths are expressed in yards first. We use the following conversions:
1 ft = 1/3 yard
1 in = 1/36 yard
Length = 23 ft = 23 x (1/3) = 23/3 yards
Width = 24 ft = 24 x (1/3) = 8 yards
thickness = 8 in = 8 x (1/36) = 8/36 = 2/9 yards
hence volume = Length x Width x Thickness
= (23/3) x 8 x (2/9)
= 13.63 cubic yards
There are 13.63 cubic yards required by the construction worker.
What is the volume of the cuboid?The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.
The volume of a cuboid is length × breadth× height
Since we are required to calculate the slab's volume in cubic yards, we must first ensure that all lengths are given in yards.
We use the following conversions:
1 ft = 1/3 yard
1 in = 1/36 yard
Length = 23 ft = 23 × (1/3) = 23/3 yards
Width = 24 ft = 24 × (1/3) = 8 yards
Thickness = 8 in = 8 × (1/36) = 8/36 = 2/9 yards
The volume of slab = Length × Width × Thickness
The volume of slab = (23/3) × 8 × (2/9)
The volume of slab = 13.63 cubic yards
Therefore, the construction worker needs 13.63 cubic yards.
Learn more about the volume of cuboids here:
brainly.com/question/23118276
#SPJ5
The Point class represents x,y coordinates in a Cartesian plane. Which line of code appears completes this operator which transforms a Point by dx and dy? (Members written inline for this problem.) class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return _________________________;}
Answers
The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.
The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`
Learn more about operator
https://brainly.com/question/29949119
#SPJ11
Please help!! Im bad at this
Answers
Answer:
B
Step-by-step explanation:
This is proportional because the number of calories burned is directly proportional to the amount of time spent on the treadmill
hi i need the answer to this
Answers
Answer:
She forgot about the negative sign in front of the 3.7, therefore, she added 3.7 to -3.3 which is equals to 0.4
The students in the astronomy club are selling snacks to raise money for a planetarium field trip. If they sell x muffins at $0.35 apiece and y bags of carrot sticks at $0.15 apiece, the total number of dollars raised will be T = 0.35x + 0.15y. How many dollars will they raise if they sell 210 muffins and 120 bags of carrot sticks?
Answers
Answer:
$91.5
Step-by-step explanation:
muffins: 210 carrot sticks:120
T= 0.35x + 0.15y (replace x as no. of muffins & y as no. of carrot sticks)
T= (0.35×210) + (0.15×120)
T= 73.5 + 18
T= 91.5
Estimate the solution to the following system of equations by graphing 3X+5Y=14 6X-4Y=9
Answers
Answer: Y = 19/14 and X = 101/42
Step-by-step explanation: Given: 3X + 5Y = 14, and 6X - 4Y = 9
Solving using elimination method:
3X + 5Y = 14 multiply by 2
6X - 4Y = 9 multiply by 1
Therefore, 6X + 10Y = 28
(-) 6X - 4Y = 9
14Y = 19
Y = 19/14
Substituting Y into 3X + 5Y = 14,
3X + 5 x (19/14) = 14
3X + 95/14 = 14
3X = 14 - 95/14
3X = 101/14
Divide both sides by 3
X = 101/42
Therefore Y = 19/14 and X = 101/42
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800. The law firm designated twice as many partners as associates to the case and was able to charge the client $17600 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Answers
The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800. The equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case is: 800 x + 1800 y = 17600.
EquationLet variable x = number of associates, assigned to the case
Let variable y = number of partners assigned to the case.
The system of equations to describe this are:
800 x + 1800 y = 17600
y = x + 2
Plugging equation 2 in equation 1, we get,
800 x + 1800(x+ 2) = 17600
2600 x + 3600 = 17,600
Collect like terms
2400 x = 14,000
Divide both side by 2400x
x = 14,000 / 2400
x = 5.8
x = 6 (Approximately)
So,
y = x + 2
y = 5.8 +3
y = 7.8
y = 8 (Approximately)
Therefore the number of associates assigned to the case were 6, and the number of partners associated to the case were 8.
Learn more about equation here: https://brainly.com/question/2972832
#SPJ1
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
Answers
Answer:
-17
Step-by-step explanation:
\( - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17\)
Answer\(-3y^{2}-6y-17\)
Given that u= [6/5] and v=[-6/4] find 1/3( u-1/2v)
Answers
Answer:
\(\frac{-7}{10}\ or \ 0.7\)
Step-by-step explanation:
step 1.
\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)
step 2.
put it in a calculator
step 3
=\(\frac{-7}{10}\ or \ 0.7\)
write the value of pi bothin decimal and fraction
Answers
Answer:
3.142 and 22/7
Step-by-step explanation:
thats its
Suppose a group of 24 people bought tickets to the American Kennel Club Museum of the Dog. Tickets cost $15 each for adults, $10 each for students, and $5 each for children under age 12. There were twice as many adults as children under age 12. If the total cost of the tickets was $260, how many tickets were purchased for children under age 12? *
Answers
Answer: 50
Step-by-step explanation:
PLSSSS HELPP I OFFERED ALL MY POINTS ! I APPRECIATE IT ! THIS IS DUE SOON !
Answers
Answer:
Step-by-step explanation:
DE=7 inches
Hope this helps! ❤️
Erika read 90 pages in 2 and half hours. At the same time, how many hours would it take her to read 225 pages?
Answers
Answer:
6.25 hours
Step-by-step explanation:
pages per hour
pages/hour
90/2.5 = 36
36 pages per hour
225 / 36 = 6.25 hours
Answer:
6.25 hours
Step-by-step explanation:
2 and half hours = 2.5 hours
Proportions:
90 pages ⇔ 2.5 hours
225 pages ⇔ E hours
E = 225*2.5/90
E = 6.25 hours
6.25 hours = 6 and 1 quarter hours
The vertices of quadrilateral ABCD are
A(-4, -2), B(4, -6), C(6, -2), and D(-2, 2).
What kind of quadrilateral is ABCD ?
Answers
Answer:
4 sided quadrilateral
Step-by-step explanation:
When finished with the construction for "Copy an
Angle", segments are drawn connecting where the
arcs cross the sides of the angles. What method
proves these two triangles to be congruent?
A. ASA
B SSS.
C. SAS
D.AAS
Answers
how do you solve f-3/4=5/6?
Answers
Answer:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
Maya is hiking down a mountain after one hours she is at 500 feet elevation and after three hours she is at 300 feet elevation
Answers
Answer:
Maya is hiking down at a speed of 100 feet per hour.
Step-by-step explanation:
Given that Maya is hiking down a mountain, and after one hours she is at 500 feet elevation while after three hours she is at 300 feet elevation, to determine the speed at which Maya is hiking down the following calculation must be performed:
3-1 = 2
500-300 = 200
200/2 = 100
Thus, Maya is hiking down at a speed of 100 feet per hour.
The midpoint between y and 31 is -5. Find y
Answers
I need help with math
Answers
Answer:
0,-2 0,-5
2,-3 1,-4
Step-by-step explanation: