The measure of angle d in the given triangle is 30 degree.
From the given figure,
95°+c=180° (Sum of two adjacent angles is 180°)
c=180°-95°
c=85°
Now, consider triangle with three angles 65°, c and d.
Here, 65°+c+d=180° (Sum of interior angle of triangle is 180°)
65°+85°+d=180°
150°+d=180°
d=180°-150°
d=30°
Therefore, the measure of angle d in the given triangle is 30 degree.
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I need help writing the equations for 15 a, and c
Answer:
a) We can set the following equation:
\(|x-2.5|=0.5.\)Recall that:
\(|x|=c\Leftrightarrow x=c\text{ or x=-c.}\)Therefore:
\(x-2.5=0.5\text{ or x-2.5=-0.5}\Leftrightarrow\text{ x=3 or x=2.}\)c) We can set the following equation:
\(|x-45|=9.\)The solutions of the above equation are:
\(x-45=9\text{ or x-45=-9 }\Leftrightarrow\text{ x=54 or x=36.}\)Find the measurement of Q using a trig
ratio
Answer:
Step-by-step explanation:
x2et
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
Help please, question in picture
Answer:
option A is right answer
Point C is in the interior of
Answer:
Point C is in the interior of angle ABD.
I'm going to cry.
Mary, three female friends, and her brother, Peter, attend the theatre. In the theatre there is a row of 10 empty seats. For the first half of the show, they decide to sit next to each other in this row.
Find the number of ways these five people can be seated in this row.
Please explain why the answer is 6x5! and not just 5!
Answer:
Step-by-step explanation:
To find the number of ways that Mary, her three female friends, and her brother Peter can be seated in a row of 10 seats, we can follow these steps:
First, we need to consider the number of ways that the five people can sit together in the row of 10 seats. We can treat these five people as a single unit and arrange them in the row in 5! (5 factorial) ways.
However, since Mary and her friends are all female, we need to account for the number of ways that they can be arranged within this group of five. We can arrange the four women in 4! (4 factorial) ways.
Finally, we need to consider the number of ways that Peter can be seated in one of the remaining seats. Since there are six remaining seats, Peter can be seated in any of these seats in 6 ways.
Therefore, the total number of ways that Mary, her three female friends, and her brother Peter can be seated in the row of 10 seats is:
5! × 4! × 6 = 120 × 24 × 6 = 17,280
So there are 17,280 ways that these five people can be seated in the row of 10 seats, assuming that they all sit next to each other for the first half of the show.
Hhhhhhheeeellllpppppp asap
Answer:
Number 1 is 50 and Number 2 is 40
Step-by-step explanation:
25 X 2 = 50
2 X 20 = 40
y is 1 1/2 times x what ratio is y:x
Answer:
y:x
11:2
Hope it helps!
The value of ratio of y ; x is,
⇒ y : x = 3 : 2
We have to given that,
y is 1 1/2 times a number x.
Here, it can be written as,
⇒ y = 1 1/2 × x
To find the ratio of y : x, we can divide x both side,
⇒ y / x = 1 1/2
⇒ y / x = 3/2
⇒ y : x = 3 : 2
Therefore, The value of ratio of y ; x is,
⇒ y : x = 3 : 2
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Solve the right triangle.
Round your answers to the nearest tenth.
B
с
24
39°
b
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite of the angles.
so, we have here now (sin(90) = 1)
b/sin(51) = c/sin(90) = 24/sin(39)
c = 24/sin(39) = 38.1363775... ≈ 38.1
b = 24×sin (51)/sin(38) = 29.63753176... ≈ 29.6
A pollster for an election believes that the age group and socio-economic class of a voter may be factors that affect the extent to which that voter will agree with a new range of policies of the current government. A two-way ANOVA test is conducted to test this. Three hypotheses are tested: Test 1 relates to whether age group is a significant factor, Test 2 relates to whether socio-economic class is a significant factor, and Test 3 relates to interaction between these two factors. The levels of age group tested are 18 to 39, 40 to 55, and over 55. The levels of socio-economic class being tested are lower class, middle class, and upper class.
In the ANOVA test, the pollster does not reject the null hypothesis in Test 1, rejects the null hypothesis in Test 2, and does not reject the null hypothesis in Test 3. The following table presents four statements relating to this ANOVA test and socio-economic class as a factor in voter agreement with the new government policies. For each statement, select whether it can be concluded from the ANOVA test or cannot be concluded from the ANOVA test. a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class. Can conclude ___ Cannot conclude____
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies
Can conclude ___ Cannot conclude____
a) Yes given statment concluded from the ANOVA test
b) No given statment cannot concluded from the ANOVA test
c) No given statment cannot concluded from the ANOVA test
d) Yes given statment concluded from the ANOVA test
a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.
Can conclude: Yes, this can be concluded from the ANOVA test, as the null hypothesis was rejected in Test 2, indicating that there is a significant difference between at least two levels of socio-economic class.
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 3 did not reject the null hypothesis, indicating that there is no significant interaction effect between age group and socio-economic class.
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.
Can conclude: Yes, this can be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
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find the number of permutations of the letters in twelve
Answer:
360
Step-by-step explanation:
Six letters in twelve with a repeated e would be 6! ÷ 2
How many unique ways are there to arrange the letters in the word PRIOR?
Answer:
60
Step-by-step explanation:
Answer:
it is 60
Step-by-step explanation:
For what value of a does (1/7)^3a+3=343^a-1
Answer:
the answer is 0
Step-by-step explanation:
edge 2022
Help Help Help Help I need help
6 to the 15th power
Step-by-step explanation: for exponents with the same base number just add the exponents (example): 3 to the 3rd power looks like this 3 x 3 x 3 but if we add 3 to the firth power, 3 x 3 x 3 x 3 x 3 then the entire thing becomes 3 to the eighth power, 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
9. (10 points) Find all values of b such that
3x² - 2bx
to nieme
x ≥-3
-3x² + 5x +4bx x < -3
f(x) =
is continuous at x = -3. What type of discontinuity exists at x = -3
when b is not equal to this value(s)? Explain your answer(s).
In the function given, the type of discontinuity that exists at x = -3 when b is not equal to 11/6 is a jump discontinuity.
What is the value of bFor the function f(x) to be continuous at x = -3, the limit of f(x) as x approaches -3 from both the left and the right must be equal to f(-3). That is:
lim x→-3+ f(x) = f(-3) = lim x→-3- f(x)
Since x < -3 for the second part of the function, we can calculate the left-hand limit as:
lim x→-3- f(x) = -3(-3)² + 5(-3) + 4b(-3) = 9 + (-15) - 12b = -6 - 12b
And the right-hand limit as:
lim x→-3+ f(x) = 3(-3)² - 2b(-3) = 27 + 6b
Therefore, we must have:
-6 - 12b = 27 + 6b
Solving for b, we get:
b = 33/18 = 11/6
So when b = 11/6, the function is continuous at x = -3.
Now let's consider the case where b is not equal to 11/6. In this case, the left-hand limit and right-hand limit are not equal, which means the function has a jump discontinuity at x = -3. The value of the function at x = -3 from the left-hand side is:
f(-3-) = -3(-3)² + 5(-3) + 4b(-3) = 9 - 15 - 12b = -6 - 12b
And the value of the function at x = -3 from the right-hand side is:
f(-3+) = 3(-3)² - 2b(-3) = 27 + 6b
Therefore, the type of discontinuity that exists at x = -3 when b is not equal to 11/6 is a jump discontinuity.
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15.) whats the approximately measure of one interior angle of the regular polygon shown
16.) the shape in the figure is a square . Use the properties to determine the value of X
Answer:
15) For a regular polygon of N sides, the measure of one interior angle is:
A = (N - 2)*180°/N
In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:
A = (11 - 2)*180°/11
A = 9*180°/11 = 147.27°
Rounding to the first decimal after the decimal point, we get:
A = 147.3°
Then the correct option is B.
16) We know that the length of all the sides of a square is the same.
In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4
And those lengths must be the same, then we have the equation:
2x + 4 = 4
subtracting 4 in each side of the equation we get:
2x + 4 - 4 = 4 - 4
2x = 0
The only solution for this equation is x = 0.
Then the correct option is C
What is (1/4) / (6/7)
Please don’t just tell me the answer, please review the steps.
Answer:
7/24 Is The Answer!
Step-by-step explanation:
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
1/4 Divided by 6/7 = 1/4 ₓ 7/6
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
1/4 times 7/6 = 7/24
The result Is
1/4 divided by 6/7 = 7/24
The system of equations has 2x-y=2(x+1) y=-2
A. no solution
B. one solution
C. infinitely many solutions
Answer:
A.
Step-by-step explanation:
This equation has no solution.
Four movie tickets cost $34.00. How much do seven movie tickets cost?
Answer:
7 movie tickets 59.5
Step-by-step explanation:
divide 34 by 4 and then you get 8.5 then multiply that by 7
please help thank you I need it for 5 min :)
Answer:
72 degrees
Step-by-step explanation:
To convert from radians to degrees
=> 2π/5 x 180/π
=> 2π/π x 180/5
=> 2 x 36
=> 72 degrees
=> you are right :)
14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)
Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)
Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)
Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .
Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
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please help will give brainliest. Links will be banned
Answer:
400 m^2Step-by-step explanation:
Area = 30 x 15 - 10 x 5
Area = 450 - 50
Area = 400 m^2
Hope that helps! :)
-Aphrodite
Answer:
400 m^2
Step-by-step explanation:
the figure is composed by a square and a rectangle
Area of the square = side^2 = 10^2 = 100 m^2
area of the rectangle = base x height = 20 x 15 = 300 m^2
total area = 300 + 100 = 400m^2
Please help me answer this :)
I will give braisnlt
Answer:
y = -1/2x + 4
Step-by-step explanation:
I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)
I got +4 because 4 is where x = 0, or the y intercept
the exact value of sin 5pi/12 is
The exact value of sin(5π/12) is (√6 + √2)/4
Calculating the exact value of sin 5pi/12From the question, we have the following parameters that can be used in our computation:
sin 5pi/12
Express properly
So, we have
sin(5π/12)
Convert the angle to degrees
This gives
sin(5π/12) = sin(5/12 * 180)
Evaluate
sin(5π/12) = sin(75)
The actual value of sin(75) is (√6 + √2)/4
This means that
sin(5π/12) = (√6 + √2)/4
Hence, the exact value of sin(5π/12) is (√6 + √2)/4
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The exact value of sin 5π/12 is (√6 + √2)/4
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Angle in trigonometry can be measured in either degree or radian.
π is a measurement in radian which is equivalent to 180° in degrees.
Therefore:
5π/12 = 5 × 180/12
= 75°
Therefore sin5π/12 = sin75°
sin75 = sin( 45+30) = sin45cos30+ cos 45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= √3/2√2 + 1/2√2
= (√3+1)/2√2
rationalizing;
(2√6 + 2√2)/8
dividing through by 2
=(√6 + √2)/4
therefore tan75 =(√6 + √2)/4
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The measures of two complementary angles have a ratio of 2:3. What is the measure of the larger angle?
The measure of the larger angle is
°.
Step-by-step explanation:
complementary angles add up to 90
x +2/3x = 90
5/3x = 90
5x = 270
x = 54
the other angle is 36
double checking
54 * 2 ÷ 3 = 36
HELP FAST!
Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral?
Answer:
Step-by-step explanation:
There is an inequality for a triangle with sides a; b; c that must always hold :a+b>cb+c>aa+c>b Using this , let 's check if there is a triangle with sides 3,5 ; 3,5 ; 93,5+3,5<9 From what we can conclude that such a triangle does not existAnd what is said in the problem is that it is possible to make an isosceles or equilateral out of it , it is said the other way around to get it . In fact, this triangle will not exist
help!! attachment below!
Answer:
4800
Step-by-step explanation:
In 10 seconds his wings will flap 800 times!
So in 60 seconds his wings will go 6 times more frequently.
10 /800 = 60/x
10 x = 800 * 60
10 x = 48000
x = 48000/10
x = 4800
Complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and a compounded n times a year. Complete the table
The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.
To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.
The formula for calculating compound interest is as follows:
A = P(1 + r/n) ^nt,
where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.
The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &
\text{A = P(1 + r/n) }^{nt} &
\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &
\text{3100(1 + 0.04/1)}^{1*10} &
\text{\$4788.03} \\ \hline \text{2} &
\text{3100(1 + 0.04/2)}^{2*10} &
\text{\$4798.76} \\ \hline \text{4} &
\text{3100(1 + 0.04/4)}^{4*10} &
\text{\$4817.46} \\ \hline \text{12} &
\text{3100(1 + 0.04/12)}^{12*10} &
\text{\$4861.94} \\ \hline \end{array}\)
The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.
In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.
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Please help I will brainliest!! Really urgent!!
Find the difference
and tell you me how you go it, not just the answer please!❤️
Answer:
-2.83333333
Hope this helped!
Answer:
\(\frac{1}{3}\)x-1
Step-by-step explanation:
(\(\frac{5}{6}\)x-7)-(\(\frac{1}{2}\)x-6) =
The - sign before 6 is turned into a + sign when the bracket is removed because the arithmetic operation before the bracket is - and two - makes the second - turn into a + (It's a rule I can't rlly explain it well but yea)
\(\frac{5}{6}\)x-7-\(\frac{1}{2}\)x+6 = \(\frac{5}{6}\)x-1-\(\frac{1}{2}\)x
-7+6 makes it a -1.
\(\frac{5}{6}\)x-\(\frac{1}{2}\)x-1 = \(\frac{5}{6}\)x-\(\frac{3}{6}\)x-1
To make the denominator of the two fractions the same, I multiplied the second fraction by 3 so that both denominators are 6.
\(\frac{5}{6}\)x-\(\frac{3}{6}\)x-1 = \(\frac{2}{6}\)x-1
After making the denominator the same, I can directly do the equation for the numerators (5-3=2) and keep the denominator the same.
\(\frac{2}{6}\)x-1 = \(\frac{1}{3}\)x-1
Since 2/6 has a common factor which is 2, I can divide both the numerators and denominators so that the fraction can be simplified further into 1/3, its simplest form.
What is 1*2*3*4*…*99?
Answer:
2376
Step-by-step explanation: