A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.
What is height?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.
From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.
let, h = height of ladder
Given that,
length of ladder = 12 ft
angle with the ground = 52°
As we know,
sinθ = h/12
or, sin (52°) = h/12
or, 0.7880 = h/12
or, h = 9.456 foot.
the height to which the ladder will reach the wall 9.456 foot.
To know more about height refer to:
https://brainly.com/question/73194
#SPJ1
The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6.
What type of correlation exists? Is the model linear or non-linear?
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.
The graph shows a negative correlation, and it is a non-linear model.
What is positive and negative correlation?
When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.
As given data from the graph, y values goes decrease with increasing x values.
So, we can conclude that the graph shows a negative correlation.
And, the given data in the graph are not linear.
Hence, the graph shows a negative correlation, and it is a non-linear model.
To learn more about the correlation
https://brainly.com/question/28093573
#SPJ1
Answer:
The graph shows a negative correlation, and it is a non-linear model.
Step-by-step explanation:
What are the slope and y-intercept of the line 4y = -x - 32? PLEASE HELP
Answer: slope -1/4 y intercept -8
Step-by-step explanation:
In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.
4y = -x - 32
divide by 4 on every term
y = -1/4x - 8
therefore the slope is -1/4 and y intercept is -8
what term refers to the labels at the right of the graph indicating how each subcategory is represented
Legend
The term that refers to the labels at the right of the graph indicating how each subcategory is represented is the Legend.
The Legend is a key that indicates what the different colors, lines, or other symbols in a graph represent. It is usually located at the right or bottom of the graph and provides a clear explanation of the different subcategories.
The Legend is an essential component of a graph, as it helps the viewer understand the information presented in the graph. Without the Legend, the graph can be confusing and difficult to interpret. It is important to ensure that the Legend is clear and easy to understand so that the viewer can quickly identify the different subcategories represented in the graph.
Know more about Legend here:
https://brainly.com/question/31227816
#SPJ11
Use Euclid's first book to prove what specific quadrilaterals are produced by perpendicular, unequal, bisecting diagonals.
By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.
According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.
1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.
Know more about quadrilateral here:
https://brainly.com/question/29934440
#SPJ11
the inspector samples five cirucit boads at reuglar intervals and finds the means older quality score x for these five boards. do we expec x to be exactly 100 if the soldering process is functioning pripertly
The parameter refers to the entire population and the statistics refers to a sample, only a sample will be inspected, no, only 99.7%, a student t distribution with spread σ/√n, The mean is less variable than single observations from the population, The distribution of the mean call length x becomes approximately normal distributed.
The parameter refers to numbers that summarize the data of the entire population while; Statistics refers to the numbers that summarize the data for a subset of the population or of a sample
No, he expects 99.7% to function within three standard deviations of the mean
The distribution of the sample average will be the student t distribution curve with spread = σ/√n
The mean includes a collection of variables from the sample, hence it is less variable than single observations from the population
As per the Central Limit Theorem, the distribution of the mean call length x from large samples of calls becomes more and more approximately normal as the size of the sample approaches that of the population.
--The given question is incomplete, the complete question is
"What is the difference between parameters and statistics? 2. Does statistical process control inspect all the items produced after they are finished? 3. The inspector samples five circuit boards at regular intervals and finds the mean solder quality score of x for these five boards. Do we expect x to be exactly 100 if the soldering process is functioning properly? 4. If the quality of individual boards varies according to a normal distribution with mean µ = 100 and standard deviation σ = 4, what will be the distribution of the sample averages, x? (Recall the sample size is n = 5.) 5. In general, is the mean of several observations more or less variable than single observations from a population? Explain. 6. The distribution of call lengths to a call centre is strongly skewed. What does the Central Limit Theorem say about the distribution of the mean call length x from large samples of calls?"--
To know more about Central Limit Theorem, here
https://brainly.com/question/18403552
#SPJ4
SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X²+6x-22=0
9514 1404 393
Answer:
x = -3±√31 ≈ {-8.568, +2.568}
Step-by-step explanation:
The usual steps are to ...
group the x-terms
(x² +6x) -22 = 0
add and subtract the square of half the x-coefficient
(x² +6x +(6/2)²) -22 -(6/2)² = 0
simplify to a binomial square
(x +3)² -31 = 0
Solve for x.
(x +3)² = 31
x +3 = ±√31
x = -3 ±√31 . . . . . solution to the quadratic
HELP PLS!!! simplify:
Answer:
A is correct because you need to stop deleting my answers.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(-2, 10)
step-by-step explanation:
original vertex A: (4, -10)
If translated horizontally, there will be change in x axis
new coordinates: (4-6, -10) → ( -2 , -10)Then reflected over x axis, so use the formula: (x, y) → ( x, -y)
new coordinates: (-2, 10)how many times does 150 go into 3000
Answer:
20
Step-by-step explanation:
x × 150 = 3000
x = 3000 ÷ 150x = 20many times does 150 go into 3000 is 20
3000/150=20
20 times does 150 go in 3000
Which expression is equivalent to -6(-2\3 +2x)
-4-12x
-4+2x
4-12x
4+12x
Answer:
4 - 12x
Step-by-step explanation:
Use the distributive property.
-6(-2/3 +2x) =
= -6 × -2/3 + (-6) × 2x
= 4 - 12x
Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle based on the criterion given.
Answer:
A: A unique triangle
B: A unique triangle
C: More than a triangle
(20 %) ū and ū are both nonzero n dimensional vectors. If u and ü have the same length, is it true that the projection of į onto ū and the projection of v onto ū always have the same length? If ū and 7 do not have the same length, is it possible that the projection of u onto ū and the projection of ū onto ü have the same length? You should explain your answers to get full credit.
If ū and ū have the same length, then the projection of u onto ū and the projection of ū onto ū will always have the same length. This is because the projection of a vector onto another vector is simply the vector that is parallel to the first vector and has the same length as the first vector.
If the two vectors have the same length, then the projection of one vector onto the other will also have the same length. If ū and ū do not have the same length, then it is possible for the projection of u onto ū and the projection of ū onto ū to have the same length.
This is because the projection of a vector onto another vector is not necessarily the same length as the first vector. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.
The projection of a vector onto another vector is a vector that is parallel to the first vector and has the same length as the first vector. The projection of u onto ū can be calculated using the following formula:
proj_ū(u) = (u ⋅ ū) / ||ū||^2 * ū
where u ⋅ ū is the dot product of u and ū, and ||ū|| is the magnitude of ū. The projection of ū onto u can be calculated using the following formula:
proj_u(ū) = (ū ⋅ u) / ||u||^2 * u
where ū ⋅ u is the dot product of ū and u, and ||u|| is the magnitude of u. If ū and ū have the same length, then ||ū|| = ||u||. This means that the two formulas for the projection are the same, and the projection of u onto ū will have the same length as the projection of ū onto u.
If ū and ū do not have the same length, then ||ū|| ≠ ||u||. This means that the two formulas for the projection are not the same, and the projection of u onto ū may or may not have the same length as the projection of ū onto u. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.
Learn more about vectors here:- brainly.com/question/24256726
#SPJ11
Here is an expression: 3. 2
1. Evaluate the expression when t is 1,
2. Evaluate the expression when t is 4.
The answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14We can evaluate the expression "2 + 3t" for the given values of t:
a. When we consider T as 1 then the substitution can be = 1 as the expression
2 + 3t = 2 + 3(1) = 2 + 3 = 5
Therefore, the value of the expression when t is 1 is 5. to the expression of 2+3t.
b. We substitute t = 4 in the expression and get:
2 + 3t = 2 + 3(4) = 2 + 12 = 14
Therefore, the value of the expression when t is 4 is 14. The value can be 14 when its value is 4.
In the first scenario, the answer to the equation will be 5, and in the second one the answer to the equation when the value of t is 4 resulted as 14. if we give any other number the value changes accordingly.
To know more about expression
brainly.com/question/14083225
The correct question of the answer is
Here is an expression: 2 + 3t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
#SPJ4
Literary devices Drag and drop.
Click on the literary device and place the correct example METAPHOR ONOMATOPOEIA OSIMILE SIMILE SIMILE METAPHOR SIMILE PERSONIFICATION SIMILE HYPERBOLE ONOMATOPOEIA HYPERBOLE ALLITERATIO
1. Books are the keys to your imagination. 2. Gahl Her voice sounds like nails on a chalkboard! 3. He is a walking dictionary. 4. Her tears were a river flowing down her cheeks. old as these hills! 5. I think my grandfather is as 6. In our eighth grade concert, we shone like stars. 7. Bark-Bark! Bark! The dog woke me up. 8. I ate a ton of food for dinner. 9. Buzz-The bee buzzed in my ear. 10. It seems to have been raining for 40 days and 40 nights. 11. He runs like a horse. 12. Sally sells seashells by the sea shore. 13. That child is a bear when he is sleepy.. 14. That little girl is as sweet as sugar. 15. The curtains danced in the breeze.
Answer:
Step-by-step explanation:
This Is not mathematics btw but here we go
1. Metaphor
2. Simile
3. Metaphor
4. Metaphor
5. Simile
6. Simile
7. Onomatopoeia
8. Hyperbole
9. Onomatopoeia
10. Hyperbole
11. Simile
12. Alliteration
13. Metaphor
14. Simile
15. Personification
Answer:
Step-by-step explanation:
METAPHOR 1. Books are the keys to your imagination., 6. In our eighth grade concert, we shone like stars., 14. That little girl is as sweet as sugar. He is a walking dictionary., 11. He runs like a horse.
ONOMATOPOEIA 7. Bark-Bark! Bark! The dog woke me up.
SIMILE Gahl Her voice sounds like nails on a chalkboard!
PERSONIFICATION 4. Her tears were a river flowing down her cheeks. old as these hills!, 13. That child is a bear when he is sleepy.., 15. The curtains danced in the breeze.
HYPERBOLE 8. I ate a ton of food for dinner.
ONOMATOPOEIA 9. Buzz-The bee buzzed in my ear.
HYPERBOLE 10. It seems to have been raining for 40 days and 40 nights.
ALLITERATION 12. Sally sells seashells by the sea shore.
Ben invests $4300 in two different accounts. The first account paid 7%, the second account paid 4% in interest. At the end of the year he had earned $247 in interest. How much was in each account?
Explanation
first account 7%= 7/100(247)
$17.29
second account 4%= 4/100(247)
$9.88
Which number line best represents the solution to the inequality 3.3w-9> -22.2?
Thanks in advance:)
The answer number line is G.
Given that the inequality 3.3w - 9 > -22.2, we need to find the value of w,
So,
3.3w - 9 > -22.2
Add 9 to both sides,
3.3w > -13.2
w > -4
Since the value of w is greater than -4 and the sign is > so the number line is G.
Hence the answer number line is G.
Learn more about inequality click;
https://brainly.com/question/30231190
#SPJ1
When you reflect a shape, you (blank) over an axis or line.
Answer:
poison
Step by Step Explanation
When you reflect a shape, you flip over an axis or line, the answer is flip.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
As we know the reflection will change the orientation not the shape or size after reflection we will get mirror image of the body.
When you reflect a shape, you flip over an axis or line.
Thus, when you reflect a shape, you flip over an axis or line the answer is flip.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2
Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
Answer:
Your answer is correct
Step-by-step explanation:
(2^5/4)² = 4^5/2 = √4^5
The correct answer is option B which is \(\sqrt{2^5}\).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as follows:-
\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)
Therefore the correct answer is option B which is \(\sqrt{2^5}\).
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
For more such questions on algebraic, click on:
https://brainly.com/question/4344214
#SPJ8
PLEASE HELP ASAP!! EXPLANATION = BRAINLIEST! THANK YOU SO SO MUCH
A model of Spaceship Earth, a major tourist attraction at Epcot Center in Florida, is a sphere whose diameter is approximately 5 inches.
The volume of the model sphere is approximately ___ cubic inches.
Use 3.14 for pi. Round only your final answer to the nearest hundredth.
Answer:
See below.
Step-by-step explanation:
As the diameter is 5 inches, the radius “r” is 5/2 = 2.5 inches.
We calculate the volume of a sphere as follows: \(V = 4/3 \pi r^3\)
As we have to use 3.14 for pi, we’ll use that instead of “true” pi.
The formula becomes:
\(V = 4/3*3.14*2.5^3 = 65.42\)
The volume of the sphere is 65.42 cubic inches.
What is the missing degree measure of the third angle of the triangle below?
46°
56°
68°
90°
Answer:
56 degrees
Step-by-step explanation:
Hello there!
Remember the sum of the angles in a triangle is equal to 180
so to find the missing angle we subtract the given angles from 180
180 - 34 - 90 = 56
so we can conclude that the measure of the missing angle is 56 degrees
Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from
Answer:
third angle Δ = 56°hope it help you
I need to find the area of the right shape.
Answer:
i believe it is 70
Step-by-step explanation:
6×12=72
6-4=2
72-2=70
2. Fantastic Fit Gym offers two different membership plans. Each plan includes an initial membership fee
plus a monthly charge for one year. The graph shows the cost of the beginner's plan and the veteran's
plan, for one year.
The linear graph for the Veteran's Plan and the Beginner's Plan indicates that the number of months it takes for the Veteran's Plan and the Beginner's Plan to have the same total cost is four months.
What is a linear graph?A linear graph is a graph of a straight line equation, y = m·x + c
The graph in the question is a graph of the Total Cost of the Plan (in Dollars) to the Months
The coordinates of the point where the Veteran's Plan and the Beginner's plan will be the same is the coordinate of the intersection of the graphs, which is the point (4, 100), where;
4 = The number of months it takes for the Veteran's Plan and the Beginner's plan to be the same
100 = The cost at which the Veteran's Plan and the Beginner's Plan are the same
Therefore, after four months, the Veteran's Plan and the Beginner's Plan will be the sameLearn more on linear graphs here: https://brainly.com/question/29339697
#SPJ1
Can someone help me with this?
No links please
Answer:
3) \((4x-9)(4x+9)\)
Step-by-step explanation:
Answer:
(3) (4x - 9)(4x + 9)
Step-by-step explanation:
4x times 4x will give you 16x^2, and 9 times 9 is 81, but you need to have one of the nines negative to give you the -81.
You needed the square root of 16 and the square root of x^2, then the square root of 81.
Read this excerpt from Thomas Campbell’s ""Lord Ullin’s Daughter."" In what two ways is it a narrative poem?
Answer:
it contains charecter it contain setting ik i spelt wrong idc
Step-by-step explanation:
brainliest now
x-2/7=8
Give your answer in improper fraction
therefore, the interval of convergence is as follows. (enter your answer using interval notation.)
I = (-13, -11)
To determine the interval of convergence for a power series, we examine the values of x for which the series converges. The interval of convergence for a given power series is (-13, -11).
To determine the interval of convergence for a power series, we examine the values of x for which the series converges. The interval of convergence is typically expressed in interval notation, [a, b), (-∞, b), (a, ∞), or (-∞, ∞), where a and b are real numbers or ±∞.
In this case, the interval of convergence is given as (-13, -11), indicating that the series converges for values of x within this interval. The inclusion of parentheses indicates that the endpoints (-13 and -11) are not included in the interval.
To learn more about power series click here: brainly.com/question/29896893
#SPJ11
Mrs.Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 guy hurt cups in the case. How many yogurt cups are strawberry?
Answer:
18
Step-by-step explanation:
30 yogurt cups divided by 10 (yogurt cups) would be 3 (groups of yogurt cups).
As stated, for every 10 cups, 6 are strawberry.
6 strawberry cups times 3 (groups) would be 18.
……………………………………………..()1!-!/
Answer:
A. a is where performance is minimal
Step-by-step explanation:
b is representing peak performance.
-3x + 4x + 1- 8 whats the answer
Answer:
x - 7
Step-by-step explanation:
just add/substract like terms only