please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure,
100'
Answers
Let's consider what the problem wants us to find:
fractional part covered by the labeled angleangle in radiansLet's find the fractional part:
⇒ the fractional part is equal:
[tex]\frac{degree-covered-by-angle}{total-angle} =\frac{100}{180} =\frac{2*2*5*5}{2*2*3*3*5} =\frac{5}{3*3} =\frac{5}{9}[/tex]
Answer: The angle 100 degrees covers 5/9 of a semicircle.
Let's find the angle measure in radians:
⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees
⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]
so [tex]100*\frac{\pi }{180} =\frac{100\pi }{180} =\frac{10}{18} \pi =\frac{5}{9} \pi[/tex]
Answer: The angle 100 degrees in radians is [tex]\frac{5}{9} \pi[/tex] which in terms of [tex]\pi[/tex] is
5/9
Hope that helps!
Related Questions
find x and y intercepts y=(2x+10)(x-2)
Answers
Step-by-step explanation:
[tex]y = (2x + 10)(x - 2)[/tex]
[tex]y = 2x(x - 2) + 10(x - 2)[/tex]
[tex]y = 2x ^{2} - 4x + 10x - 20[/tex]
[tex]y = 2x ^{2} + 6x - 20[/tex]
[tex]to \: find \: x \: intercept \: y = 0[/tex]
[tex]0 = 2x ^{2} + 6x - 20[/tex]
[tex]x = 2 \: or \: - 5[/tex]
[tex]to \: find \: y \: intercept \: x = 0[/tex]
[tex]y = 2(0)^{2} + 6(0) - 20[/tex]
[tex]y = - 20[/tex]
Answer:
y = -20
x- 2, -5
Step-by-step explanation:
State the quadrant in which lies if secθ > 0
and cscθ < 0.
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
Answers
Answer:
D
Step-by-step explanation:
secΘ > 0 in 1st and 4th quadrants
cscΘ < 0 in 2nd and 4th quadrants
then
secΘ > 0 and cscΘ < 0 in the 4th quadrant
Which expression is equivalent to 3(2x+4y)-y? Show your work
A. 17xy
B. 6x+12
C. 3(6xy)-y
D. 6(x+2y)-y
Answers
Hey there!
3(2x + 4y) - y
= 3(2x + 4y) - 1y
= 3(2x) + 3(4y) - 1y
= 6x + 12y - 1y
= 6x + 11y
LETS TEST OPTION D. FOR YOUR RESULT…
Option D.
6(x + 2y) - y
= 6(1x + 2y) - 1y
= 6(1x) + 6(2y) - 1y
= 6x + 12y - 1y
= 6x + 11y
6x + 11y = 6x + 11y which makes this statement TRUE ☑️
Therefore, your answer is:
Option D. 6(x + 2y) - y
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
win a brainliest for free by answering questions
Answers
There are 4 dived gaps in every number, so to find the value of one gap, divide 1 by 4 (0.25)
Answer: 1.2
Step-by-step explanation:
4, raised to what power, equals 1/4
Answers
Answer:x=-1
Step-by-step explanation:
4^x=1/4
x=-1
Find the volume of the cylinder, round your answer to the nearest tenth
Answers
Answer:
V≈502.65 rounding would be v = 503
You know
Step-by-step explanation:
i forgot how to do this
help
Answers
Answer:
62.8 inStep-by-step explanation:
C=2πr
r=10in
C=2*π*10
C=20*3.14
62.8 in
EASY, PLEASE HELP, ASAP
Answers
Answer:
B. 50 feet
Step-by-step explanation:
6 times 2.5 is 15
so that means 20 also has to be multiplied by 2.5
which becomes 50
Answer: B. 50 feet
Step-by-step explanation:
We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:
[tex]\frac{20}{6} =\frac{x}{15}[/tex]
Now we will cross multiply and solve for x:
300 = 6x
50 = x
x = 50
The length of the second triangle is B. 50 feet
The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?
6. 75÷114. 75=n
6. 75÷n = 114. 75
6. 75n=114. 75
6. 75 + n= 114. 75
Answers
Answer:
6. 75n=114. 75
Step-by-step explanation:
each magazine cost: $6.75 plus tax
and on weekend the store collected it sale total: $114.75?
=> 6.75n = 114.75 = 17 magazines sold
simplify
p^2+pq+3qr+3pr
with steps
Answers
Answer: (p+q)(p+3r)
Step-by-step explanation:
p²+pq+3qr+3pr
Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.
p(p+q)+3r(p+q)
Factor out common term p+q by using distributive property.
(p+q)(p+3r)
d=22in cuál es la circunferencia
Answers
Answer:
If the diameter is 22 and the radius would be half of 22 so it would be 11
Solve this quadratic equation using the quadratic formula.
2x 2 - 2x = 1
Answers
[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]
Which of the following statements about closure is NOT true?
Polynomials are closed under addition
Polynomials are closed under subtraction
Polynomials are closed under multiplication
Polynomials are closed under division
Answers
Answer:
Polynomials are closed under division is the answer.
Answer:
Polynomials are closed under division
Also:
were did you go man :(
helpppp please please
Answers
Answer:
the answer is 51.315
Step-by-step explanation:
hope i was able to help you out
Please help I will give
BRAINLY
5 STARS
and a THANKS
Answers
Answer:
1, 3, 5, 7
Step-by-step explanation:
the c stands for columns.
when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.
Answer:Day 26
Step-by-step explanation : just multiply the numbers
A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume
Answers
Answer:
I dont know
Step-by-step explanation:
In a pile of cards, there are four hearts, twelve clubs, and eight diamonds. How many times would we expect a diamond to be drawn in 300 trials?
Answers
The correct answer is c. 100.
Step-by-step explanation:
Number of cards in the given pile = 24
Total number of diamond cards in the pile = 8
Probability of picking up a diamond in a draw of card from the pile is given by .
There are supposed to be 300 trials.
Therefore number of times a diamond card is picked from the pile is given by 300 × = 100.
Out of 300 trials to pick a card, about 100 times we can expect to have picked up a diamond card from the pile.
I DONT UNDERSTAND Julio bought a backpack for 39$ and 2 belts for 17$ each the sales tax is 6%. How much did Julio spend for all items including tax??
A-$59.64 C-$77.38
B-$63.00 D-$89.01
Answers
Answer: C
Steps:
39+17+17=73
73x0.06=4.38
4.38+73=77.38
Add the sales tax to price without tax
Answer:
C. $77.38
Step-by-step explanation:
Items + tax = total
Items × .06 = tax
OR
Items × 1.06 = total
39 + 17 + 17 = 73
73 × .06 = 4.38
73 + 4.38 = 77.38
OR
73 × 1.06 = 77.38
Jenni is eating a package of gummy bears. There are 4 red, 2 yellow and 3 green gummy bears left. What is the probability that she'll eat two yellows without looking in the bag.
Answers
Answer:
1/45
Step-by-step explanation:
Total = 10
Probaility of getting yellow: 2/10
Probbaility of getting yellow again: 1/9
2/10 * 1/9= 2/90 or 1/45
Huw is paid a weekly wage.
Every week he:
saves
1/5 of his wage,
spends 70% of the money he has left on his living expenses,
spends all that remains on his social life.
One week, Huw saves £40.
How much does Huw spend on his social life?
_____%
Answers
= 40 x 5
= £200
As he saves £40,
so the amount of money he spends on his living expenses
= (200-40) x 70%
= £112
The amount of money he spends on his social life
= 200 - 40 - 112
= £48
The percentage of the money he spends for his social life
= 48/200 x 100%
= 24%
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units, what is the measure of side DE? Round your answer to the nearest hundredth. 4.89 units 5.34 units 6.38 units 9.06 units
Answers
Answer:
It is 6.38 units!
Step-by-step explanation:
I took the test and it was correct.
The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right-angle triangle given:
Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,
After drawing the triangle:
Applying the tan ratio in the right-angle triangle:
tan50 = EF/DE
tan50 = 7.6/DE
DE = 7.6/tan50
DE = 6.377 ≈ 6.38 units
Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
#SPJ5
In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
What is the ratio of sinC?
Enter your answer as the fraction, in simplest terms, like this: 42/53
Answers
Answer:72/97
Step-by-step explanation: took the test.
John has expenses that total $4280 a month. He spends 22% on his mortgage for his home each month. How much of his total does he spend on his mortgage?
Answers
How do you move a variable from one side of the equal sign to the other??
Answers
The equation 4x = 3x - 8
We need to remove one set of the X variables, so you do the opposite operation and subtract 3x from both sides (NOT THE -8!) and then you end up with X = -8
Hope I helped!
Find the value of AB in the given figure.
Answers
Answer:
AB = 6 cm
Step-by-step explanation:
[tex]In\:\triangle ABC,\:\angle B =90\degree...(Given)\\\\ side\: AB = side\: BC...(Given)\\\\\implies \angle BAC= \angle BCA= 45\degree\\\\\implies \triangle ABC\: is \: 45\degree-45\degree-90\degree \:\triangle\\\\\implies AB = \frac{1}{\sqrt 2} AC\\\\\implies AB = \frac{1}{\sqrt 2}\times 6\sqrt 2\\\\\implies AB = 6\: cm[/tex]
Please explain how you got to the answer. Brainly!!!!!
Answers
Answer:
11. 4
12. 2
13. 2
14. 2
15. 3
Step-by-step explanation:
Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.
To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.
11.
4x³y has degree 4
3x²y² has degree 4
-y³ has degree 3
The highets degree of all terms is 4, so the degree of the polynomial is 4.
12.
a has degree 1
b has degree 1
-c² has degree 2
The degree of the polynomial is 2.
13.
The degrees of the terms are, in order, 2, 2, 2.
The degree of the polynomial is 2.
14.
The degrees of the terms are, in order, 1, 2, 1.
The degree of the polynomial is 2.
15.
The degrees of the terms are, in order, 3, 2, 1.
The degree of the polynomial is 3.
Answer each question about the following series: 3 4.5 6 7.5 9 10.5. what is the common difference of the arithmetic sequence on which the series is based? d =
Answers
Answer:
45.6
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
In the given series 3 4.5 6 7.5 9 10.5
[tex]a_{1}=3[/tex] , [tex]a_{2}=4.5[/tex] , [tex]a_{3} =6[/tex]
As the series is arithmetic and in arithmetic series common difference is,
[tex]d=a_{2}-a_{1}[/tex]
[tex]d_{1} =4.5-3=1.5\\[/tex]
[tex]d_{2} =6-4.5=1.5[/tex]
So, common difference is 1.5
If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation
Answers
Answer:
D
-by-step explanation:
all other is incorrect
A large high school has been waging a campaign against drug use, particularly marijuana. Before the campaign began in
2007, a random sample of 100 students had their lockers checked for drugs. In 27 of the lockers, marijuana was found.
To assess if the program has been successful, another random locker check was conducted in 2017. This time, 30 out of
175 students had marijuana in their lockers. Using a = 0.05, is there evidence to suggest that the proportion of students
who are found with marijuana in their lockers has decreased?
Answers
Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the proportion has decreased.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is still the same, of 27/100 = 0.27, hence:
[tex]H_0: p = 0.27[/tex]
At the alternative hypothesis, it is tested if the proportion has decreased, hence:
[tex]H_1: p < 0.27[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, the parameters are as follows:
[tex]n = 175, \overline{p} = \frac{30}{175} = 0.1714[/tex]
Hence, the value of the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.1714 - 0.27}{\sqrt{\frac{0.27(0.73)}{175}}}[/tex]
z = -2.94.
What is the decision?Considering a left-tailed test, as we are testing if the propoortion is less than a value, the critical value is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is evidence that the proportion has decreased.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and , 1 hours serving customers. What were Delia's earnings? A. $46.97 B. $47.25 C. $53.00 D. $57.75