In an isosceles triangle, one angle is 33 degrees greater than each of the other two equal angles. Find the measure of all three angles
Answers
Solution:
in an isosceles triangle, the angles opposite of the apex are equal. The three angles in any triangle equal 180 degrees. Now, if we let x represent one of the angles opposite the apex, then the angel at the apex will be
\(x\text{ + 33}\)Adding up the three angles will equal 180:
\(x\text{ + x + (x+33) = 180}\)this is equivalent to:
\(3x\text{ = 180-33 = 147}\)that is:
\(3x\text{ = 147}\)solving for x, we get:
\(x\text{ = }\frac{147}{3}\text{ = 49}\)We can conclude that the angles in the isosceles triangle are 49 degrees, 49 degrees, and (x+33)= (49+33) = 82 degrees. Then, the correct answer is:
Angle 1: 49 degrees
Angle 2: 49 degrees
Angle 3: 82 degrees
Related Questions
100 POINTS PLEASE HELP ME ALGEBRA
Answers
The range of the graph of the exponential function is (b) {y | y > 0}
Calculating the range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
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A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answers
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
ASKING AGAINN COMONN YALL
Answers
Answer:
20 units
Step-by-step explanation:
The y axis is 2-6 so subtract 6 and 2 which is 4
the x axis is 3-9 so subtract 9 and 3 which is 6
The other sides are the same
4+4+6+6= 20
Please help it's a pretty quick question, and will take only a bit of your time. Thanks!
Answers
Answer:
1. 10.625
2. 11
3. 11
Step-by-step explanation:
What is the approximate area of a circle with radius 6 cm?
Answers
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
I need help with this
Answers
Answer:
im confusled
Step-by-step explanation:
Simplify the expression
9v^2(u^2+ uv -5v^2)
Answers
Answer:
9u^2v^2+9uv^3-45v^4
plz give brainliest
Step-by-step explanation:
write the single expression in index form 2²×2⁴×2³
Answers
Answer:
The answer is 16
Step-by-step explanation:
You just need to multiply those numbers and walaaahhh
kojo is n years old now? how old was he 5 years ago.how old will he be 10 years from now
Answers
Answer:
5 years ago: n - 5
10 years from now = n + 10
I'll MARK THE BRAINLIEST!
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week. A) Which statement is true about the range? B) Which statement is true about the mean?
A} The range is greater for the girls, B) The mean is less for the girls
B} The range is greater for the girls, B) The mean is greater for the girls
C} The range is greater for the boys, B) The mean is greater for the girls
D}The range is greater for the boys, B) The mean is greater for the boys
Answers
The range is greater for the girls and the mean is greater for the girls. So, correct option is B.
A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.
Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.
B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:
(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours
To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:
(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours
Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".
So, correct option is B.
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URGENT! WILL GIVE BRAINLIEST (PICTURE INCLUDED)
Answers
9514 1404 393
Answer:
x > -1 and x ≠ 3
Step-by-step explanation:
The function value will be positive when there are an even number of negative factors. The factors change sign at x = -1, are zero at x = 3. The expression is positive for ...
x > -1 and x ≠ 3
A bike has a diameter of 10 in. What is the circumference of the wheel?
Answers
Solve for I in the diagram below.
Answers
Answer:
20
Step-by-step explanation:
180-100
80=(x+3x)
4x=80
x=20
In one town, 29% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. O 0.081 O 0.580 O 0.290 O 0.084
Answers
The probability of getting both of them are Democrats is 0.0841
In statistics, probability is defined as the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Here we have given that in one town, 29% of all voters are Democrats.
And we need to find the probability of getting both of them are Democrats if two voters are randomly selected for a survey.
According to the given question, here we know that
Number of Democrats voters = 29%
Number of person selected = 2
Here we have to convert the percentage into decimal, then we get,
=> 29% = 0.29
Then the probability that they are both Democrats is calculated as,
=> 0.29 x 2 = 0.0841
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At times 6 x 10 To the six power cubic feet of water go over Niagara Falls every minute there are 1440 minutes and one day at this rate how many cubic feet of water would go over Niagara Falls in one day
Answers
Answer:
6.718464×10^13 / 67184640000000
Step-by-step explanation:
6×10^6 = 46656000000 × 1440 = 67184640000000
Abby will receive a cash prize when she earns 300 bonus points at the videoshop. Abby receives 5 bonus points every time she rents a recent release videoat the video store, plus a 60-point bonus for becoming a member. The totalnumber of bonus points, B is given by B = 5n + 60, where n is the number of videos being rented. How many videos must Abby rent to receive her cashprize?
A.240
B.120
C.60
D.48
Answers
What is the range of the function f(x)= 1/2sin(2x-pi)
Answers
The answer is [-1/2-1/2]
The range of the function f(x) is [-1/2, 1/2].
What is the range of a function?The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f.
For the given situation,
The function f(x) = 1/2sin(2x-π)
The graph below shows the range of the function f(x) = 1/2sin(2x-π) graphically.
As the range of sinx function is [-1, 1], the range of sin2x is also [-1, 1].
Let us consider \(\theta = 2x-\pi\)
⇒ Then, \(sin \theta\) lies in the range \([-1,1]\)
⇒ \(-1\leq sin(2x-\pi )\leq 1\)
⇒ \((\frac{1}{2} )(-1)\leq sin(2x-\pi )\leq( 1)(\frac{1}{2} )\)
⇒ \(\frac{-1}{2} \leq sin(2x-\pi )\leq\frac{1}{2}\)
Hence we can conclude that the range of the function f(x) is [-1/2, 1/2].
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x = - 23
y = - 5
z = - 10
\((x-12)/ (y+z)\\\)
Answers
i had to do the answer as a pic cuz my iPad is gonna die.
sorry <:)
/ (y+z)\\[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/MisMyK2iguFVoDswEnFmQI7DfpQifTbE.jpeg)
Answer:
7/3Step-by-step explanation:
x = - 23
y = - 5
z = - 10
(x - 12)/(y+z)=
(-23 - 12)/(-5-10)=
45/15=
7/3
Do You Know How? In 3-8, estimate each product using rounding or compatible numbers. 4. 104 x 0.33 3. 0.87 x 112 0.90x110=99 6. 0.54 x 24 5. 9.02 x 80 9x80=720 7. 33.05 x 200 a. 0,79 x 51
Answers
Estimating Products
Some operations can be estimated and its results approximated by using rounding and number that are easier to calculate.
For example the product 0.87*112 can be estimated by using 0.9 (a very close rounded number) and 110 instead of 112. One of the factors was rounded up and the other was rounded down. The product should be very close to the real exact product.
Now for 104*0.33. 104 can be rounded to 100 and it can be easily multiplied by 0.33. 100*0.33 = 33
0.54*24 can be estimated as 0.5*26=13 or as 0.6*30=18
33.05*200 is approximated as 33*200 = 6600
0.79*51 is estimated as 0.8*50 = 400
Some of the estimations above can be challenged and some people can propose better combinations for more accurate results. It's a subjective task.
Can you please figure out this equation and see if I have the right answer
Answers
The expression is given to be:
\(\tan \left(\frac{7\pi }{12}\right)\)Rewrite the expression:
\(\frac{7\pi}{12}=\frac{\pi}{4}+\frac{\pi}{3}\)Therefore, we have:
\(\tan\left(\frac{7\pi}{12}\right)=\tan\left(\frac{\pi}{4}+\frac{\pi}{3}\right)\)Recall the summation identity:
\(\tan \left(x+y\right)=\frac{\tan \left(x\right)+\tan \left(y\right)}{1-\tan \left(x\right)\tan \left(y\right)}\)Therefore, we have:
\(\tan\left(\frac{\pi}{4}+\frac{\pi}{3}\right)=\frac{\tan\left(\frac{\pi}{4}\right)+\tan\left(\frac{\pi}{3}\right)}{1-\tan\left(\frac{\pi}{4}\right)\tan\left(\frac{\pi}{3}\right)}\)Recall that:
\(\begin{gathered} \tan \left(\frac{\pi }{4}\right)=1 \\ \tan \left(\frac{\pi }{3}\right)=\sqrt{3} \end{gathered}\)Hence, the equation becomes:
\(\frac{\tan(\frac{\pi}{4})+\tan(\frac{\pi}{3})}{1-\tan(\pi\/4)\tan(\pi\/3)}=\frac{1+\sqrt{3}}{1-1\cdot\sqrt{3}}\)Therefore, we can simplify the expression to be:
\(-2-\sqrt{3}\)The THIRD OPTION is correct.
A ball pit contains 190 balls.
50 are orange, 100 are purple and 40 are yellow.
What is the ratio of yellow to purple balls in its simplest form?
Answers
Step-by-step explanation:
40 :100 yellow to purple, divide both sides by 20
2:5
Answer:
the ratio of yellow to purple is 40:100 that is 2:5 in the simplest form.
Step-by-step explanation:
Hope it helps.
Make a 3-by-6 logic grid on your own paper. Use it to help you solve the logic
puzzle and answer the question given below.
Davis, Roy, and Tom are on the rowing team. Each sits in a different position
(front, middle, and end) and is a different age (18, 19, and 20).
• Tom and the 19-year-old do not sit in the rear.
.
The person who sits in the rear is 20 years old.
Neither Tom nor Roy sits in the front.
Who sits in the middle, and how old is he? Be sure to check both answers.
Answers
Answer:
Tom sits in the middle and he is 18
Step-by-step explanation:
On the table you will first mark off Tom from being in the rear, as well as being 19
You will mark off Tom and Roy from the 1st, which places Davis as 1st, you also know that Tom is neither 1st nor last, so he is in the middle.
Now you see that Roy is neither in the 1st nor middle, so he is last.
Last is also the 20 yr old, so Roy is 20yrs and last seat.
Tom is neither 19 or 20.
So Tom is in the middle and 18yrs old
Antonio has a balance of -$12.00 in his checking account. If he deposits a check for $373.00, what will be the balance in his account?
Answers
Answer:
$361
Step-by-step explanation:
add -12.00 +373.00 and its bassically subtracing 12 from 373 but yea
Use Composition of FunctionsBOX OFFICE A movle theater charges $8.50 for each of the xtickets sold. The manager wants to determine how much the movietheater gets to keep of the ticket sales If they have to glve thestudlos 75% of the money earned on ticket sales t(x). If the amountthey keep of each ticket sale is k(x), which composition representsthe total amount of money the theater gets to keep?
Answers
Given: The amout charged per ticket is $8.50
If x tickets are sold
Then the total revenue (amount made) will be =>
\(8.5\text{ x }x\text{ = \$8.50x}\)If t(x) represents how much the studio collects
and k(x) represents how much is kept
Given: t(x) = 75% then
k(x)= (100 -75)%= 25 %
So that
The total amount that will be kept will be
25% of $8.50x
=>
\(\frac{25}{100}\text{ x (\$8.50x) }\)\(\frac{25\text{ x \$8.50x}}{100}\text{ = }\frac{212.5x}{100}=\text{ \$2.125x}\)The amount that will be kept will be
= > $2.125x
Where x is the number of tickets
Given the following angles, what ray is the common side of ZCFD and ZDFE?ERay FDRay FERay FC
Answers
We will consider two angles as follows:
\(<\text{ CFD > \& < DFE >}\)We are to determine the rays that have a common side to both < CFD > and < DFE >.
We will go ahead and make combination of pairs for each angle < F > common to both.
\(CF\text{ , FD }\)\(&\)\(DF,\text{ FE}\)The common sides of the angle rays would contain similar letters! From the two combinations for each ray-angles we can see that the side:
\(FD\text{ = DF}\)Hence, the ray common to both < CFD > and < DFE > is :
\(\textcolor{#FF7968}{FD}\)
The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answers
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
ASAP ASAP!
What are some differences between constructing a segment bisector and an angle bisector?
Answers
Answer:
An angle bisector divides an angle into two angles that both have the same measure, and the segment bisector divides the line segment into two equal parts
Step-by-step explanation:
Pls tell me the full form of ASAp
this research seeks to identify, describe and produce an analysis of the factors that influence the learning choices of first- year undergraduate students who intend to go on to postgraduate study when they graduate, and develop associated theory.
Answers
The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.
What is factor?Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.
The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.
The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.
In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.
Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.
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When a 3-digit number is rounded to the nearest ten and the nearest hundred, the difference is 50. What is the number?
Answers
Answer: 150?
Step-by-step explanation:
150 -> 200 200-150=50
150-> 150 200-150=50
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Answers
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.