Answer:
67.97
Step-by-step explanation:
let AC be length of ladder and BC be distance between ladder and wall and angle be theta
Now,
costheta=BC/AC
THETA =COS^-1(3÷8)
THETA=COS^-1(0.375)
THETA=67.97 DEGREE
Find the values of m and b that cause the graph to pass through the two points plotted
Answer: 0.5, 5
Explanation:
Please help will get brainliest and 70 coins! <33
The last number in Row 8 is 56.
The number in Row 12 and column 3 is 80.
The row and column that will contain the number 400 is Row 58 Column 1
What does the figure shown in the image represent?The figure shown in the image represents the multiplication table 7.
Each column contains 7 numbers.
Beginning with the first Row and column, 7 numbers are added until the next row. At the end of each row is a multiple of 7.
The last number in Row 8 will be the product of 7 and 8 = 56
The number in Row 12 and Column 3 will be:
7 * 11 + 3 = 80
The row and column that will contain the number 400 will be:
400/7 = 77 remainder 1
Hence, it will be Row 58 Column 1.
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The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25 What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
How to determine the average rate of change?From the question, we have the following ordered pairs
x intercepts = (6,0) and (18, 0)
Vertex = (12, -36)
Points (21, 41.25)
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using
m = [f(21) - f(18)]/[21 - 18]
This becomes
m = [f(21) - f(18)]/3
Substitute the known values in the above equation
m = [41.25 - 0]/3
Evaluate the difference
m = 41.25/3
Evaluate the quotient
m = 13.75
Approximate
m=14
Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
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Complete question
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
See attachment for graph
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6!= 6.5.4.3. 2. 1.) What value of N satisfies the following equation? 5!.9!= 12. N! (A)10 (B)11 (C)12 (D)13 (E)14
The value of N that satisfies the following equation, 5!9!= 12N!, is 10.
Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.
Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.
Given the equation 5!9!= 12N!, expand the factorial notation.
(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!
N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
N = 10
Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.
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Please help find the surface area!!!!!!
Answer:
142 ft square
Step-by-step explanation:
Face 1: 3(10)=30 ft square
Face 2: 4(10)=40 ft square
Front: 2(6)=12/2=6 ft square
Back: Same as front
bottom: 6(10)=60 ft square
Total: 30+40+6(2)+60=142 ft square
() means multiply in case don't know
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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I need some help with this
Mason and Derek collected 120 stickers last month. For every 7 stickers that Mason collected, Derek collected 3. How many more stickers were in Mason's collection?
Answer:
48 stickers.
Step-by-step explanation:
Let \(7x\) be the number of stickers Mason collected.
Let \(3x\) be the number of stickers Derek collected.
Equation:
\(7x + 3x = 120\)
Solve:
\(10x = 120\)
\(x = 12\)
Mason collected 84 stickers (\(7x\)) while Derek collected 36 stickers (\(3x\)).
The difference in the number of stickers between them is 48 stickers.
Therefore, Mason collected 48 stickers more than Derek.
I would appreciate it if you mark my answer as brainliest.
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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Please help ive been stuck on this one for a while
The probability of choosing a consonant and then a vowel from jar A after replacing the consonant is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Given that, jar A contains the 8 letters in the word Colorado. Jar B contains the 11 letters in the word Connecticut.
16. an o from jar A, then an o from jar B.
Probability of an event = 1/8 × 1/11
= 1/88
17) an n or a t from jar B
Probability of an event = 2/11 + 2/11
= 4/11
18) an n from jar B and then drawing a t from jar B without replacing the n
Probability of an event = 2/11 × 2/11
= 4/121
19) Two vowels from jar A without replacing the first
Probability of an event = 4/8 × 4/8
= 16/64
= 1/4
20) a consonant and then a vowel from jar A after replacing the consonant
Probability of an event = 4/8 × 3/7
= 12/56
= 3/14
21) a letter that is not an o from jar A
Probability of an event = 5/8
Therefore, the probability of choosing a consonant and then a vowel from jar A after replacing the consonant is 3/16.
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POSSIBLE POINTS. 5
Your company takes orders over the phone. The company's average call time is 4.6 minutes. The graph below shows 4 calls and the difference between the
call time and the company's average call time. For these 4 calls, what is the mean difference between the call times and the company's average call time,
rounded to the nearest 0.1 minute?
(Note: A negative difference indicates the call is shorter than the average.)
a
Difference between Call Time and
Company Average Call Time
(Negative values indicate calls shorter
than company average.)
5 -
4.79
3
5
Call 3
2
0.68
Call 4
Call 2
Call 1
-1.55
-2.32
O-23
O 0.4
O 0.4
O 1.6
O 23
Answer: .04
Step-by-step explanation:
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
Solve the proportion. x/6 = 20/24
X/6 = 20/24
Cross multiply:
24x = 120
Divide both sides by 24
X = 5
Answer: x = 5
Select all of the following expressions that result in a rational number.
Answer:
1, 4, 7
Step-by-step explanation:
This must be the answer to your problem
What fraction is equal to 5/7
The answer is
\(\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}\)
To learn more, take a look at this chart please.
Answer:
Any of these
10/14
15/21
20/28
etc.
Step-by-step explanation:
Basically, if you multiply the fraction by the same number, it will be equal.
Which equation could possibly represent the graphed function?
Answer: A
Step-by-step explanation:
The polynomial has roots at \(x=-4, -2, 4\).
So, the equation should have factors of \((x+4), (x-2), (x-4)\).
This eliminates everything except for A.
A survey was conducted on a college campus to determine what type of food students want in the dining halls. Out of 1200 students that completed the survey, 45% said that they wanted ice cream available. What is the margin of sampling error for the survey?
a. 0.149
b. 0.029
c. 0.450
d. 0.214
Answer:
The answer is b. 0.029
Step-by-step explanation:
Margin error for a sample size of 1200 is 2.9%.
The Margin error formula can be represented as:
\(z \times \: \sqrt{ \frac{p0(1 - po)}{n} } \)
Where
z = critical value
n = sample size
\(p0 = sample \: proportion\)
In each diagram, ∆ABC has been transformed to yield ∆A'B'C'. Which transformation could NOT be achieved by rotation alone?
The ∆ABC has been transformed to yield ∆A'B'C'. The fourth diagram shows that the transformation could NOT be achieved by rotation alone.
The diagram is attached with the answer below:-
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
In the first figure, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along the midpoint of AB.
The second and third figures are the same. In both figures, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along with the origin.
In the fourth figure, ∆ABC has been transformed to yield ∆A'B'C' by rotation of 180 degrees either clockwise or counterclockwise along with the origin.
But only in the fourth figure, ∆ABC has been transformed to yield ∆A'B'C' by reflection along the x-axis.
Therefore, the correct option is the 4th diagram.
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I need help with question 7 and 8 :))
Answer:
7) a
8) b
I'll give an explanation if you request one.
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?
Answer:
0.4246
Step-by-step explanation:
Given data:
mean ( u ) = 15 inches
std ( б )= 6 inches
sample size( n ) = 46
ux = mean sample length
Determine the probability that x within 0.5 inch of the claimed population mean
ux = u = 15
бx = б/ √ 46 = 6 /√ 46 = 6 / 6.78 = 0.88
Hence the P( 14.5 < x < 15.5 )
= P ( [14.5 - 15 / 0.88 ] < z < (15.5 - 15) / 0.88) )
= P ( -0.5682 < z < 0.5682 )
= P ( z < 0.5682 ) - P ( z < -0.5682 )
= 0.7123 - 0.2877 ( from Z table )
= 0.4246
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
If m/DKL = (21x + 5)°, m/JKD = (4x + 2)°,and m/JKL = 132º, find
MZDKL
Finding the missing angle of the figure, the value of m∠DKL is 110°
Describe angle.Two rays that have a common endpoint and are referred to as the angle's sides and vertices, respectively, form an angle. Two rays can form angles in the plane where they are positioned. Angles are also produced when two planes intersect. These angles are dihedral.
given,
m∠DKL = (21x + 5)°
m∠JKD = (4x + 2)°
and
m∠JKL = 132°
By angle sum property of angles
m∠DKL + m∠JKD = m∠JKL
substituting the values, we get
(21x + 5)° + (4x + 2)° equals 132°
(21x + 4x + 5 + 2)° = 132°
(25x + 7)°= 132°
(25x)° = 132° - 7°
x = 125° / 25°
x = 5
now, the value of m∠DKL
m∠DKL = [21 (5) + 5]°
m∠DKL = 105° + 5°
m∠DKL = 110°
Hence the value of m∠DKL is 110°
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Subtract (−5r2−6rs+6s2) from (6r2+9rs−10s2) and simplify.
Answer: Hope this helps you understand!
Step-by-step explanation:
Let's simplify step-by-step.
−5r2−6rs+6s2−(6r2+9rs−10s2)
Distribute the Negative Sign:
=−5r2−6rs+6s2+−1(6r2+9rs−10s2)
=−5r2+−6rs+6s2+−1(6r2)+−1(9rs)+−1(−10s2)
=−5r2+−6rs+6s2+−6r2+−9rs+10s2
Combine Like Terms:
=−5r2+−6rs+6s2+−6r2+−9rs+10s2
=(−5r2+−6r2)+(−6rs+−9rs)+(6s2+10s2)
ANSWER:
=−11r2+−15rs+16s2
Answer:
11r^2+15rs−16s^2
Step-by-step explanation:
Use the distributive property.
(6r^2+9rs−10s^2)−(−5r^2−6rs+6s^2)
6r^2+9rs−10s^2+5r^2+6rs−6s^2
Use the commutative property to combine like terms, then simplify.
6r^2+9rs−10s^2+5r^2+6rs−6s^2
6r^2+5r^2+9rs+6rs−10s^2−6s^2
11r^2+15rs−16s^2
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
Dist
What is the value of the
expression when a = 2
and b = 5?
10b - (100 + 5)
Co
Ad
the least common multiple of the two numbers is 40 the ratio of the greater number is the to the lessor number is 5, 4
if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.
What is Least Common Multiple (LCM)?Least Common Multiple is the meaning of the abbreviation LCM.
The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.
It can also be computed using two or more numbers.
Finding the LCM of a given collection of numbers can be done in a variety of ways.
Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.
In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.
The smallest number among all numbers is called the least common multiple of two or more numbers.
According to our question-
The number LCM is equal to 40.
4 × 5 × x = 40
20 × x = 40
20x=40
x=2
The larger number is equal to 4 x=4(2)=8.
The smaller value is =5x=5(2)=10.
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Complete question-
The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?