Find the number of sides of a regular polygon if the interior angle is 150
Answers
360/30= 12.
remember that no matter what is the polygon the sum of EXTERIOR angle is 360.
and 1 exterior angle + 1 interior angle = 180.
Related Questions
How many odd integers are there between 101 and 199?
Answers
98/2 49
49+ 1=50
there are 50 odd numbers
Answer:
49 odd numbers are there between 101 and 199.
Step-by-step explanation:
Given : 101 and 199.
To find : How many odd integers are there between 101 and 199.
Solution : We have given 101 and 199.
Total number(N) between 101 and 199
N = 199 - 101 = 98
N = 98 .
We can see 98 is even number so, there are half numbers are odd and half numbers are even .
Odd number = [tex]\frac{N}{2}[/tex].
Odd number = [tex]\frac{98}{2}[/tex].
Odd number = 49.
Therefore, 49 odd numbers are there between 101 and 199.
Consider the function f (x) = (2x - a)(x - b)/5(x - b)(x - c). Determine where the following features of its graph
are located in terms of a, b, and/or c. Explain your reasoning for each situation.
a. the x-intercepts
b. the y-intercepts
c. any vertical asymptotes
d. any horizontal asymptotes
e. any “holes” in the graph
Answers
.. f(x) = (2x -a)/(5(x -c)) . . . . . . x ≠ b
The x-intercept will be located where f(x) = 0, at x = a/2.
b) The y-intercept is located where x = 0, at f(0) = a/(5c)
c) The vertical asymptote is where the denominator is zero, at x = c
d) The horizontal asymptote is the value that results when x gets large, y = 2/5.
e) There is a "hole" in the graph at x=b, where the function is undefined.
I need to know what 8(ii) because I don’t know the method
Answers
[tex]\bf y+y+50=180\implies 2y=180-50\implies 2y=130 \\\\\\ y=\cfrac{130}{2}\implies y=65[/tex]
Use the data to create a scatter plot.
Stretch distance
(cm)
Weight
(Newtons)
2.0
1
3.5
2
4.0
2
4.5
3
5.5
5
6.0
6
7.5
8
9.0
9
Weight vs. Stretch Distance
Point
Move
Undo
Redo
Reset
Stretch distance (cm)
Weight (N)
Answers
To create a scatter plot for the given data, label the axes with 'Stretch distance (cm)' and 'Weight (Newtons)', plot the points, and observe the correlation. A positive trend is expected as weight increases with stretch distance.
Explanation:To create a scatter plot with the given data of stretch distance versus weight, you would typically use graphing software or graph paper. Here's a step-by-step explanation on how to plot the data:
Label the x-axis as 'Stretch distance (cm)' and the y-axis as 'Weight (Newtons)'.Mark even increments on both axes according to your data range. For stretch distance, you might use increments of 1 cm, and for weight, you could use increments of 1 Newton.Plot each pair of values from the table onto the graph. For example, you would place a point at (2.0 cm, 1 N), (3.5 cm, 2 N), and so on.Once all points are plotted, you may observe a pattern or trend which can be indicated by drawing a line of best fit if appropriate.
After plotting all the points, your scatter plot might show a positive correlation between stretch distance and weight, indicating that weight increases as the stretch distance increases.
find the area of the triange with the given vertices A(0,4), B(0,0), C(2,0)
Answers
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Hope this helps!
how do you solve log base 3 (27) by hand
Answers
The log base 3 of 27 is equal to 3.
To solve log base 3 of 27 by hand, we need to determine the exponent to which the base 3 must be raised to obtain 27.
In this case, 3 raised to the power of what exponent equals 27?
By observing that [tex]3^3[/tex] equals 27, we can conclude that:
log base 3 of 27 = 3.
Therefore, the solution to log base 3 of 27 is 3.
To know more about log, refer here:
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One angle of a right triangle measure a°, where cos a° = 3/5. What is sin(90° - a°)? (PLEASE ANSWER!!!)
Answers
Your answer would be: 180 degreeses.
Jenna is a professional typist.she can type 22,500 words in 5 hours of typing.in one hour how many words can she type?in one minute how many words can she types?
Answers
Explain how to find the degree of a polynomial.
Answers
Answer:
The Degree of a Polynomial is the largest of the degrees of the individual terms. Add the degrees of the variables of each term to decide what is the Degree of the Polynomial. Degree of term 1 is 2 (1+1= 2), Degree of term 2 is 6 (2+4 = 6), Degree of term 3 is 7 (5+2 = 7) 7 is the Degree of the Polynomial.
What is 2 (log₃8+log₃z) - log₃(3⁴-7²) written as a single logarithm?
Answers
We start by solving first brackets. We will use the rule:
[tex]log a + log b = log (a*b)[/tex]
[tex] log_{3} 8 + log_{3} z = log_{3} (8z)[/tex]
Now we are left with:
[tex]2log_{3} (8z)- log_{3} ( 3^{4} - 7^{2} )[/tex]
To get rid of 2 we will use rule:
[tex]a* log_{b} c= log_{b} c^{a} [/tex]
[tex]2log_{3} (8z)= log_{3} (8z)^{2} [/tex]
Now we are left with:
[tex] log_{3} (8z)^{2}-log_{3} ( 3^{4} - 7^{2} )[/tex]
To solve this we will use rule:
[tex]log a -logb = log \frac{a}{b} [/tex]
[tex]log_{3} (8z)^{2}-log_{3} ( 3^{4} - 7^{2} )= log_{3} \frac{64 z^{2} }{3^{4} - 7^{2}} =log_{3} \frac{64 z^{2} }{32} =log_{3} 2z^{2}[/tex]
How could you increase the mass of a wooden block?
Take it to Jupiter where there is more gravity.
Take it to the moon where there is less gravity.
Cutting it in half.
None of the above.,
Answers
The histogram shows the number of hours volunteers worked one week.
What percent of the volunteers worked 8 to 11 hours or 16 to 19 hours?
Enter your answer in the box.
%
Answers
1. Find the product of 2x4(2x2 + 3x + 4).
2x8 + 3x4 + 4x4
4x6 + 6x5 + 8x4
4x4 + 3x5 + 2x6
3x6 + 4x5 + 5x4
2. Find the product of (3x 4)(2x2 + 2x 1)
6x3 + 2x2 - 5x + 4
6x3 + 14x2 - 11x + 4
6x3 - 14x2 - 5x + 4
6x3 - 2x2 - 11x + 4
3. Find the product of (x2 + 4x 3)(2x2 + x + 6).
2x4 + 9x3 + 4x2 + 21x 18
2x4 + 9x3 + 10x2 + 21x 18
2x4 + 7x3 + 4x2 + 21x18
2x4 + 9x3 + 4x2 + 27x 18,
Answers
4x^(4 + 2) + 6x^(1 + 4) + 8x4
4x^6 + 6x^5 + 8x^4
B) (3x 4)(2x2 + 2x 1)
6x^(4 + 2) + 6x^(4 + 1)
6x^6 + 6x^5
C) (x2 + 4x3)(2x2 + x + 6)
Expanding we have:
2x^4 + x^3 + 6x^2 + 8x(3 + 2) + 4x^4 + 24x^3
2x^4 + x^3 + 6x^2 + 8x5 + 4x^4 + 24x^3
8x^5 + 6x^4 + 25x^3 + 6x^2
Extra points to the person who answer first
Mandana is ordering new tile for her kitchen floor. The area of the floor is 116.9 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
A. 131 square feet B. 138 square feet C. 133 square feet D. 141 square feet
Answers
In order to know what is the reasonable amount of tile for Mandana to order, you have to divide the choices with the area of the floor and deduct with 1 and multiply by 100. You have to assess if the answer you will get will fall between 15% and 20% which is the goal of Mandana.
a. 131/116.9 = (1.1206 – 1) x 100 = 12.06%, this does not fall between 15% and 20%
b. 138/116.9 = (1.1805 – 1) x 100 = 18.05%, this fall between 15% and 20%
c. 133/116.9 = (1.1377 – 1) x 100 = 13.77%, this does not fall between 15% and 20%
d. 141/116.9 = (1.2062 – 1) x 100 = 20.62%, this does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order that is between 15% and 20% extra of the materials is 138 square feet.
Which function increases at a faster rate on 0 to infinity, f(x)=x^2 or g(x)=2^x?Explain your reasoning.
Answers
Answer:
g(x) increase at a faster rate.
Step-by-step explanation:
Given : Two functions [tex]f(x)=x^2[/tex] or [tex]g(x)=2^x[/tex]
To find : Which function increase at a faster rate on 0 to infinity
Solution :
We put some value of x in the functions and note down the observation.
x → 0 1 2 3 4 5 6 7
[tex]f(x)=x^2[/tex] → 0 1 4 9 16 25 36 49
[tex]g(x)=2^x[/tex] → 1 2 4 8 16 32 64 128
Comparing the values of f(x) and g(x), we can see that that g(x) increases at a faster rate on 0 to infinity.
Reason - The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function f(x).
Rewrite the following quadratic function in vertex form. Then, determine the axis of symmetry. y=5x^2+15x-2
Answers
Answer: The vertex form of the given function is [tex]y=5\left(x+\dfrac{3}{2}\right)^2-\dfrac{53}{4}[/tex] and its axis of symmetry is [tex]x=-\dfrac{3}{2}.[/tex]
Step-by-step explanation: The given quadratic function is
[tex]y=5x^2+15x-2~~~~~~~~~~~~~~(i)[/tex]
We are to rewrite the above function in vertex form and to determine its axis of symmetry.
We have from equation (i),
[tex]y=5x^2+15x-2\\\\\Rightarrow y=5(x^2+3x)-2\\\\\Rightarrow y=5\left(x^2+2\times x\times \dfrac{3}{2}+\dfrac{9}{4}\right)-\dfrac{45}{4}-2\\\\\Rightarrow y=5\left(x+\dfrac{3}{2}\right)^2-\dfrac{45+8}{4}\\\\\Rightarrow y=5\left(x+\dfrac{3}{2}\right)^2-\dfrac{53}{4}.[/tex]
So, the given function is a parabola with vertex at the point [tex]\left(-\dfrac{3}{2},-\dfrac{53}{4}\right).[/tex]
Therefore, the axis of symmetry is given by
[tex]x=-\dfrac{3}{2}.[/tex]
Thus, the vertex form of the given function is [tex]y=5\left(x+\dfrac{3}{2}\right)^2-\dfrac{53}{4}[/tex] and its axis of symmetry is [tex]x=-\dfrac{3}{2}.[/tex]
To convert the quadratic function y = 5x² + 15x - 2 into vertex form, completing the square yields y = 5(x + 1.5)² - 13.25, with an axis of symmetry at x = -1.5.
To rewrite the quadratic function y = 5x² + 15x - 2 in vertex form and find the axis of symmetry, follow these steps:
Complete the square
Start with the given quadratic function:
y = 5x² + 15x - 2
To complete the square, first factor out the coefficient of x² (which is 5):
y = 5(x² + 3x) - 2
Now, focus on the expression inside the parentheses, x² + 3x.
To complete the square, need to add and subtract a constant term that will make it a perfect square trinomial.
add (3/2)² = 2.25 and subtract the same value inside the parentheses:
y = 5(x² + 3x + 2.25 - 2.25) - 2
Simplify the expression inside the parentheses
Now, simplify the expression inside the parentheses:
x² + 3x + 2.25 = (x + 1.5)²
So, the equation becomes:
y = 5[(x + 1.5)² - 2.25] - 2
Distribute the 5 and simplify further
y = 5(x + 1.5)² - 5(2.25) - 2
Rewrite in vertex form
y = 5(x + 1.5)² - 11.25 - 2
y = 5(x + 1.5)² - 13.25
Now, the quadratic function is in vertex form:
y = 5(x + 1.5)² - 13.25
Find the axis of symmetry
The axis of symmetry of a parabolic equation in the form y = a(x - h)² + k is given by x = h.
The axis of symmetry is x = -1.5 (opposite sign of the value inside the parentheses).
Therefore, the axis of symmetry for the quadratic function y = 5x² + 15x - 2 is x = -1.5.
learn more about quadratic function here
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A triangle with one obtuse angle must also have two acute angles.a. trueb. false
Answers
Because the sum of the angles in a triangle is 180°
Obtuse angle = angle greater than 90°.
180° - Obtuse angle = less than 90°
So there cannot be another obtuse angles, therefore both the other angles will be acute.
Jerry starts to save at age 35 for a vacation home that he wants to buy for his 50th birthday. He will contribute $300 each month to an account, which earns 1.7% interest, compounded annually. What is the future value of this investment, rounded to the nearest dollar, when Jerry is ready to purchase the vacation home? Answers: $61,960 $60,924 $5,077 $5,163 This is the only question I couldn't figure out , I just need help with it please. Thanks
Answers
FV of annuity= P{[(1+r)^n-1]/r}
monthly contribution is $300
yearly contribution will be 300*12=$3600
hence P=$3600
r=1.7%=0.017
t=n=50-35=15 years
Therefore:
FV of annuity=3600{[(1+0.017)^15-1]/0.017}
=$60924.45
Hence the answer is $60924
please help asap!!! brainliest to best/right answer!!!!!!
Answers
The options for number two is
31.5 m^2
63 m^2
84 m^2
126 m^2
Please help! I will give brainliest to the best explained answer.
Answers
for q 1:
the base=12 in
the height= 3 in
then the area = 12*3 = 36 sq in
for q 2:
the base= 14 in
the height = 4.5 in
then the area =4.5*14 =63
Mr.gleasons math class lasts 40 minutes . Math class starts at 9:55 a.m. At what time does math class end
Answers
The answer is "10:35am".
Reason:
Just add 9.55 and 40 mins:
9.55+40=10:35a.m
=10:35am
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer:
10:35
Step-by-step explanation:
Just add 9.55 and 40 mins:
9.55+40=10:35a.m
According to Okun's law, if the unemployment rate goes from 2% to 5%, what will be the effect on the GDP?
Answers
Answer: decreases by 3%
Step-by-step explanation:
PLEASE HELP ASAAAAAPPPP
Answers
y = 9800 * 1.02^7 = 11257
Answer is 2nd choice
PLEASE HELP! An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.
What does the margin of error imply?
A.It can be concluded, with 81% confidence, that between 93% and 97% of all employees will rate the vacation policy as "delightful."
B.It can be concluded, with 95% confidence, that at least 81% of all employees will rate the vacation policy as "delightful."
C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
D.It can be concluded, with 81% confidence, that at least 95% of all employees will rate the vacation policy as "delightful."
Answers
Let me know if you have any other questions! ♥
Answer:
The answer is option C.
Step-by-step explanation:
Here, according to the given question, margin of error means that the number of people who rated the vacation as 'delightful' ranges between 81% (83-2) and 85% (83+2) of the population at a 95% confidence interval. The range is formed as 81% to 85% as its given that the margin of error is ±2% .
Therefore, only option C is having both the ranges, 81% and 85%. So, option C is the correct answer.
C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
**PLEASE HELP**
The area of a rectangle is 3x^2 + 14x + 8, and the length is x + 4. Which expression best describes the rectangle's width?
A.) 2x + 2
B.) 3x - 2
C.) 3x + 2
D.) 2x + 4
Answers
Given information
----------------------------------------------------------
Area = 3x² + 14x + 8
Length = x + 4
----------------------------------------------------------
Formula
----------------------------------------------------------
Area = Length x Width
----------------------------------------------------------
Find Width
----------------------------------------------------------
3x² + 14x + 8 = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width = (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2
----------------------------------------------------------
Answer: The width is 3x + 2 (Answer C)
----------------------------------------------------------
https://screenshots.firefox.com/cxfIjV7PcUHa4HAl/lms.thinkthroughmath.com
Please give answer and explain how to solve.
Answers
prism dimensions)
1st edge has 4 small cubes , edge of the small cube=1/4,
so 1st edge of the large cube =1/4*4=4/4 (it could be written as 1)
2d edge has 3 small cubes , so 2d edge= 3*1/4=3/4
3d edge has also 3 small cubes , so 3d edge= 3*1/4=3/4
Volume= first edge*second edge*third edge=4/4*3/4*3/4=1*3/4*3/4=9/16
Answer 4/4*3/4*3/4=9/16
The histogram below shows the age distribution of Elizabeth’s grandchildren.
The box-and-whisker plot below shows the same data.
Which of the following best explains why one graph appears skewed and one graph appears symmetric?
A. The intervals on the x-adis of the histogram are too large
B. The interval on the y-axis of the histogram is too small
C. The interval on the x-axis of the histogram is inconsistent
D. The interval in the box-and-whisker plot is too small
Answers
I hope helped`` ^-^
Answer:
Option: C is the correct answer.
C. The interval on the x-axis of the histogram is inconsistent
Step-by-step explanation:
Clearly after looking at the histogram we see that the interval on the x-axis are inconsistent.
Since, the intervals given are:
0-4 ( length of interval is 4)
5-9 ( length of interval is 4)
10-14 ( length of interval is 4)
But the intervals:
(15-19) is missing in the given histogram.
And then a interval of length 4 is given i.e. (20-24)
Hence, option: C is the correct answer.
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at a rate of 48 meters per minute. Ursula gave Andre a 1-minute head start.
Answers
Final answer:
Ursula, swimming at 60 meters per minute, and given Andre a 1-minute head start who swims at 48 meters per minute, will catch up to Andre 4 minutes after she starts.
Explanation:
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at a rate of 48 meters per minute. Ursula gave Andre a 1-minute head start. To determine who wins the race, we need to calculate the time it takes for Ursula to catch up to Andre, given the head start.
Let's denote the time it takes for Ursula to catch up to Andre as t (in minutes). Since Andre has a 1-minute head start, he would have swum 48 meters before Ursula starts. Therefore, the distance Andre swims in t+1 minutes is 48(t+1). Ursula's swimming distance in t minutes is 60t.
To find out when Ursula catches up to Andre, we set these distances equal to each other:
60t = 48(t+1)60t = 48t + 4860t - 48t = 4812t = 48t = 4Thus, Ursula will catch up to Andre 4 minutes after she starts swimming, which is 5 minutes after Andre starts.
List the first five terms of each of the following geometric sequence.
A_1 = 10; r = 5
Answers
1. Suppose that the amount of algae in a pond triples every 2 hours. If the pond initially contains 80 pounds of algae, how much algae will be in the pond after 8 hours? (1 point)
a) 720
b) 1,280
c) 6,480
d) 320
Answers
It triples every 2 hours
2 hours later = 3(80)
4 hours later = 3(3(80)))
6 hours later = 3(3(3(80)))
8 hours later = 3(3(3(3(3(80)))))
8 hours later = [tex] 3^{4} [/tex] x 80
8 hours later = 6480 (Answer C)
OR
We find the number of 2 hours period in that 8 hours
8 ÷ 2 = 4
It starts at 80 pounds
It tripes every 2 hours
Total algae = [tex] 3^{4} [/tex] x 80 = 6480 (Answer C)