The measure of the acute angle is ∠8 = 30.75°
How to find the measure of the acute angle?Here we want to find the measure of the angle ∠8, where we only know that:
Sin(∠8) = 0.5113
To find the measure, we can apply the inverse sine function in both sides, then we will get:
Asin(Sin(∠8)) = Asin(0.5113)
∠8 = Asin(0.5113)
∠8 = 30.75°
That is the measure of the angle.
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will mark brainliest!!
picture included ^^^^
please and THANK YOU
^^!!
Answer:
shift the graph up 1 unit
Step-by-step explanation:
d is the vertical shift
+1 means we shift the graph up 1 unit
Identify the population and the sample in the situation below:
The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.
Question 1 options:
Population: soccer team, Sample: starting eleven player
Population: the starting eleven, Sample: soccer team
Population: the coach, Sample: soccer team
Population: soccer team, Sample: uniforms
Answer:
your answer is, A Population: soccer team, Sample: starting eleven player.
Step-by-step explanation:
I just took the test.
The population and the sample in the situation below is a Soccer team and starting eleven players respectively.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.
Given, The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.
Since A population is an entire group that you want to draw conclusions about. A sample is a specific group that you will collect data from. The size of the sample is always less than the total size of the population.
and The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment.
Thus in our case,
Population: soccer team
Sample: starting eleven players
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Please help what is the answer a b c or d
Answer:
A
Step-by-step explanation:
I did test rf
5x + 12 = 2x + 21
Step by step
(Right answer plz )
Answer:
\(5x + 12 = 2x + 21 \\ 5x - 2x = 21 - 12 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3\)
Step-by-step explanation:
please mark me brainliest
Answer:
\(5x + 12 = 2x + 21 \\ 5x - 2x = 21 - 12 \\ 3x = 9 \\ x = \frac{9}{3}\\ \boxed{x = 3}\)
x = 3 is the right answer.Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi
143
21
7
5
and if you can go answer my other questions????? plzzz
When Tom found the difference -10 -(-3), he got -13. Complete the statement that explains what Tom
might have done wrong.
Answer: Below :p
Step-by-step explanation:
-10 - (-3) is -7.
The opposite of -3 is 3 since there were parentheses around -3.
Tom might have added the negatives wrong to get -13 or he thought the subtraction symbol was an addition symbol.
please y'all I running out of time please look at the graph and tell me what are the intervals where the function is increasing and decreasing
The intervals at which the graph is increasing is (-∞, 3) and it is decreasing on the internal (3,∞)
Representing parabolic graphs into quadratic equations.Parabolic graphs are graphs with a u-shaped curve, to determine where these graphs are increasing or decreasing, we need to represent them as quadratic equations.
To do that, we need to look at the graph and look at where these graph cuts the xy axis, as well as checking the vertex point. From the graph, we are the following xy points: (0,0) (6,0) and the vertex point (3,120).
From these, we deduce that the quadratic equation is:
\($$y = \dfrac{-40x^2}{3}+ 80x$$\)
Thus, from the vertex point (3,120) the intervals at which the graph is increasing is (-∞, 3) and it is decreasing on the internal (3,∞).
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Choose the numerical expression that matches the phrase.
Multiply 4 and 7, then add 3.
3 x 4 +7
Α.
B. 3 x 7 +4
C.4 x 7 + 3
D. 7 x 3 + 4
Answer:
Multiple 4 and 7, then add 3 is equivalent to
C. 4 x 7 + 3
Answer:
C. 4 x 7 + 3
Step-by-step explanation:
→ Multiply 4 and 7
4 × 7
→ Then add 3
4 × 7 + 3
What is the solution of the equation 3 and minus 2 is equal to 46?
The solution of the equation 3z minus 2 is equal to 46 is 16.
The given equation '3z minus 2 is equal to 46' can be written as
3z - 2 = 46
Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:
3z = 46 + 2
3z = 48
z = 48/3
z = 16
The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.
Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.
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Find the solutions to the equation below.
Check all that apply.
x2 - 4 = 0
Answer:
2
Step-by-step explanation:
First you add 4 to both sides and get
2x=4
then you divide by 2 and get
4/2=x
4/2=2
x=2
Answer:
+2 or -2
Step-by-step explanation:
move 4 after equal sign
now it's x² =4 and put a root on the two parts of equation and this is what you get
Plz actually answer cuz i need the answer for that grade upgrade
Answer:
The answer is I think the opened circled -> but I'm not 100% sure
Step-by-step explanation:
Geometry Find the area of the Triangle
Answer:
A = 148.92 sq in
Step-by-step explanation:
A = bh/2
A = 20.4(14.6) ÷ 2
A = 297.84 ÷ 2
A = 148.92 sq in
The base of the solid is square, one of whose sides is the interval [0, 2] along the the x-axis. The cross sections perpendicular to the x-axis are rectangles of height f(x) 8x² . Compute the volume of the solid. (Use symbolic notation and fractions where needed:)
The volume of the solid is 64/3 cubic units.
To compute the volume of the solid, we integrate the area of the cross sections over the interval [0, 2] along the x-axis. The area of each cross section is given by the product of the height f(x) = 8x² and the width dx. Hence, we have:
V = ∫[0,2] f(x) dx
= ∫[0,2] 8x² dx
= [8(x³/3)] [0,2]
= 8(2³/3 - 0³/3)
= 8(8/3)
= 64/3
Therefore, the volume of the solid is 64/3 cubic units.
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if p > 5 is prime and p is divided by 10, show that the remainder is 1, 3, 7, or 9
If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9
The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.
However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).
Therefore, p must end in 5. This means that p can be written in the form:
p = 10n + 5
where n is some integer. Now, let's consider what happens when we divide p by 10:
p/10 = (10n + 5)/10 = n + 0.5
Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.
To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).
Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.
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HELP PLEASE MATH IS HARD
The box plot displays the number of flowers planted in a town last summer. A box plot uses a number line from 6 to 21 with tick marks every one-half unit. The box extends from 10 to 15 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 20. The graph is titled Flowers Planted In Town, and the line is labeled Number of Flowers. Which of the following is the best measure of center for the data shown, and what is that value? The mean is the best measure of center and equals 11. The mean is the best measure of center and equals 12. The median is the best measure of center and equals 11. The median is the best measure of center and equals 12.
After answering the presented question, we can conclude that thus, the equation correct answer is: The median, which equals 11, is the best measure of center.
What box plot represent?The box plot depicts the distribution of the quantity of flowers planted in a town last summer based on the information provided. The box spans the number line from 10 to 15, with a line at 11 inside the box and lines outside the box ending at 7 and 20.
The median is depicted by the line in the box, which is positioned at 11 in the box plot. As a result, the median is the best measure of center for the data provided, and its value is 11.
Thus, the correct answer is: The median, which equals 11, is the best measure of center.
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Find the average value fave of the function f on the given interval.
f(x) = 3 sin(8x), [−π, π]
The average value of the function f(x) = 3 sin(8x) on the interval [-π, π] is: fave = (1/(2π)) * 0 = 0. To find the average value fave of the function f on the interval [−π, π], we use the following formula:
fave = (1/π) ∫(from -π to π) f(x) dx
Applying this formula to the given function f(x) = 3 sin(8x), we have:
fave = (1/π) ∫(from -π to π) 3 sin(8x) dx
Using the integral formula ∫ sin(ax) dx = -1/a cos(ax), we can evaluate the integral as follows:
fave = (1/π) ∫(from -π to π) 3 sin(8x) dx
= (1/π) [ -1/8 cos(8x) ] (from -π to π)
= (1/π) [ -1/8 (cos(8π) - cos(-8π)) ]
= (1/π) [ -1/8 (1 - 1) ]
= 0
Therefore, the average value fave of the function f on the interval [−π, π] is 0.
To find the average value (fave) of the function f(x) = 3 sin(8x) on the interval [-π, π], use the formula:
fave = (1/(b - a)) * ∫[a, b] f(x) dx
Here, a = -π, b = π, and f(x) = 3 sin(8x).
fave = (1/(π - (-π))) * ∫[-π, π] 3 sin(8x) dx
fave = (1/(2π)) * ∫[-π, π] 3 sin(8x) dx
Now, we need to evaluate the integral:
∫[-π, π] 3 sin(8x) dx = (-3/8)cos(8x) | from -π to π
Plug in the limits of integration:
(-3/8)cos(8π) - (-3/8)cos(-8π) = 0 - 0 = 0
So, the average value of the function f(x) = 3 sin(8x) on the interval [-π, π] is: fave = (1/(2π)) * 0 = 0
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suppose you have a population of 500 butterflies. if the population experiences a net growth of 12% in the following year, how many butterflies do you have?
The net growth of of population of butterflies led to 560 butterflies.
We know that the population of butterflies is 500.
The population experiences a net growth of 12%.
The net growth can be defined as increase in number of individuals in a population .
So, the gain in the population of butterflies = 12% of 500= (12/100) × 500= 60 Butterflies
So, the new population of butterflies after the gain is 500 + 60 = 560 Butterflies.
This can be calculated by another method which is
112% of 500= (112/100)*500 = 560 butterflies
Hence, the required answer is 560 butterflies.
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It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it.
Answer:
a)45min
b)900min
Step-by-step explanation:
We were told that it takes Matt 3 minutes to read one page in a book.
It implies that 3minutes = 1page of the book
Then he continues to read at the same pace, he can read 15 similar pages in minutes.
a)Then, he can read 15 similar pages in
15x3 minutes.which is 45minutes.
b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins
Answer: has anyone seen my dad?
Convert 111110 base two to base eight
Answer: I got 76.
Step-by-step explanation:
Can you help me with the question listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answer:
x = 4
Step-by-step explanation: 4 times 4 is 16 and 16 plus 7 is 23.
Answer:subtract 7 from both sides
Step-by-step explanation:
4x+7=23
4x -7=23
4x=16
Divide 4 from both sides
X=4
PLS HELP 10 points plsssss now
Answer: Alternate interior angles and congruent angles.
Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.
(I’ve also attached a helpful image from the web!)
Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism
Step-by-step explanation:
Volume = Length × Width × Height
Volume = 10 × 3 × 2
Volume = 60 cm
The base of a triangle is twich the height of the triangle. If the area is 16 square inches, what is the height?.
The height of a triangle when the area is 16 inches h=4
The area of the triangle(A) is given by:
A=1/2bh---(1)
where,
b is the base
h is the height
As per the statement:
The area of a triangular block is 16 square inches.
A=16 in
It is given: If the base of the triangle is twice the height
⇒ b=2h---(2)
Substitute these in [1] we have;
A=1/2bh
16=1/2(2h)h
h^2=16
h=4in
Substitute h =4 in [2] we have;
b=2h
b=2(4)
b=8in.
Therefore, the base and height of the triangle are 8 inches and 4 inches.
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Aaron earns a weekly salary of $350. He earns a 7% commission on
the sales that he makes. Last week his sales totaled $3200.
Answer:
574
Step-by-step explanation:
3200/100 x 7 + 350
3x+15=6x the property of this
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 6x
Solve using inverse operations
3x + 15 = 6x
-3x -3x
15 = 3x
/3 /3
x = 5
The quastion is on graph theory, matching.
Let A and B each be sets of N labeled vertices, and consider bipartite graphs between A and B.
Consider taking |E| =aN, i.e., the total number of edges is proportional to the number of vertices. This is a relatively sparse number of edges, given the total number of edges that can exist between A and B.
6) Show that taking |E| = 3/N, the expected number of matchings goes to 0 as N › [infinity]. (5 points)
7) Show that taking |E| = 4.V, the expected number of matchings goes to infinity as N › [infinity]. (5 points)
The expected number of matchings goes to infinity as N › [infinity].
Matching in Graph Theory:A matching in Graph Theory is a set of edges of a graph where no two edges share a common vertex. In other words, a matching is a set of independent edges of a graph. A perfect matching in a Graph Theory is a matching of size equal to half the number of vertices in a graph.The expected number of matchings goes to 0 as N › [infinity]:The expected number of matchings goes to zero as N › [infinity] when |E| = 3/N. It is because 3/N is a relatively dense number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very small in comparison to the total number of matchings possible as N › [infinity].The expected number of matchings goes to infinity as N › [infinity]:The expected number of matchings goes to infinity as N › [infinity] when |E| = 4.V. It is because 4.V is a relatively large number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very large in comparison to the total number of matchings possible as N › [infinity]. Hence the expected number of matchings goes to infinity as N › [infinity].
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simplify the expression
6(6- 2s)=
Answer:
36-12s=y
s=3
thats with it all the way simplified
I have attached the questions above pls help me ASAP
I will give the person with correct answers brainliest as reward
Answer:
a) C = 31.42
b) A = 78.55
Step-by-step explanation:
C = (2)(pi)(r), pi = 3.142 and r = 5
C = (2)(3.142)(5)
C = 31.42
A = (pi)(r)^2, pi = 3.142 and r = 5
A = (3.142)(5)(5)
A = 78.55
how do you solve for -2x + 6y = 18
Answer: x=-3(-y+3)
Step-by-step explanation:
How many units are in the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14
The sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.
In a triangle, the lengths of the two longest altitudes are equal to the lengths of the corresponding sides.
The sides in two different forms or polygons that are in the same position are said to have corresponding sides.
The two polygons have the same size and shape if they are congruent.
Congruence exists between the corresponding sides and angles.
So, the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.
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The sum of the lengths of the two longest altitudes in the triangle with sides 8, 12, and 14 is 17 units.
The sum of the lengths of the two longest altitudes in a triangle can be found using the formula:
Sum of altitudes = (a + b + c) / 2
In this case, the sides of the triangle are given as 8, 12, and 14 units.
The longest altitude in a triangle is the altitude drawn from the longest side. So, we need to find the longest side in the given triangle.
To do that, we can arrange the sides in descending order: 14, 12, 8.
Now, we can use the formula to find the sum of the lengths of the two longest altitudes:
Sum of altitudes = (14 + 12 + 8) / 2 = 34 / 2 = 17 units
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