What is the length of PQ to the nearest hundreth place.(use 3.14 for *)
P
135° Q
A
12 in.
a
169.6 in.
56.5 in.
Ob
Ос
84.8 in.
Od
28.3 in.
Answers
Given:
The radius of the circle = 12 in.
The central angle of the intercepted arc PQ = 135 degrees.
To find:
The measure of arc PQ.
Solution:
The length of arc is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle.
Substituting [tex]r=12,\pi=3.14,\theta=135^\circ[/tex] in the above formula, we get
[tex]s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}[/tex]
[tex]s=75.36\times 0.375[/tex]
[tex]s=28.26[/tex]
[tex]s\approx 28.3[/tex]
The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).
Related Questions
In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?
Answers
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial. (a) What is the probability that all four computers fail on one day
Answers
Answer:
625/100,000,000 or 6.25 out of one million
Step-by-step explanation:
(0.005)^4 = .000000000625 = 625/100,000,000
The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
The probability that a computer fails on any single day is 0.005.
Let X denotes no. of computers fail on day
So, n = 4 , p = 0.05, q= 1-0.05=0.995
P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]
P (X = 4)
= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]
=1* 0.00000000063*1
=0.00000000063
=6.3*[tex]10^{-10}[/tex]
Hence, the probability that all four computers fail on one day is
=6.3*[tex]10^{-10}[/tex].
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342 employees prefer a bonus over extra vacation days from a survey of 450 employees what is the population proportion
Answers
Answer:
76
Step-by-step explanation:
450/100 = 4.5
342/4.5 = 76
PLEASEEEEE HELPP
Karen is having a party. She’ll have 2 tables fir every 6 guest
Answers
Answer:
i hate these questions lol her name do be karen sorry um you do multiplicaton for this question i hate aleks expesially thqat question i feel you bro
Step-by-step explanation:
Answer: it’s all in the explanation!
Step-by-step explanation:
So, in the question, it states that she’s gunna have two tables for every six guests. You’re gonna need to find out how much people are going to be at ONE table, so two divided by six! And as you know, that equals three. For the first space, since it’s a odd number, you need to use the three instead of six since there’s gunna be one table by itself. So three times 5. The first space is gunna be 15 :). The second space is somewhat the same process. What times three equals 21? Seven! So for the second space, you’re gunna pit seven. For the third one, you do 8 times three, which equals 24. And for the last space, it’s 10, for three times ten :), hoped this helped!
What are the missing numbers in the data set? Assume the numbers are in order.
24, 28, 32, 39, ___ Range = 18
Group of answer choices
41
42
43
44
Answers
Answer:
42
Step-by-step explanation:
To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.
Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!
(4x-1)2=11
whats the solution
Answers
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?
Answers
What value of x and y will make the polygon below a parallelogram?
Answers
Answer:
[tex]x = 4[/tex]
[tex]y =1[/tex]
Step-by-step explanation:
Given
The attached figure
Required
x and y
If the attached is a parallelogram, then:
Either segment of a diagonal are equal; So, we have:
[tex]3x = 12[/tex]
[tex]x + y = 5y[/tex]
In [tex]3x = 12[/tex]
Divide both sides by 3
[tex]x = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]
[tex]4 + y = 5y[/tex]
Collect like terms
[tex]5y - y =4[/tex]
[tex]4y = 4[/tex]
Divide both sides by 4
[tex]y = \frac{4}{4}[/tex]
[tex]y =1[/tex]
What are all the values of x that make the quadratic A
equation below true?
x² – 16=0
Answers
x = 4
x = -4
good luck :)
The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4
Answers
Answer:
C: 3
Step-by-step explanation:
The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.
Answers
m = 5√2
just use trigonometry
The table shows the height of a softball that Hallie threw in the air. Is the relationship shown linear? Why or why not?
••no links just answers••
I know it's not linear but I dont know why.
Answers
Answer:
Not a linear relationship
Step-by-step explanation:
Given
The attached table
Required
Linear or not
To do this, we simply calculate the slope of the table at different intervals.
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (0.5,7.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]
[tex]m = \frac{7.2}{0.5}[/tex]
[tex]m = 14.4[/tex]
Let:
Let:
[tex](x_1,y_1) = (1,10.7)[/tex]
[tex](x_2,y_2) = (2,12.2)[/tex]
So, the slope is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5\\[/tex]
See that the calculated slopes are not equal.
Hence, it is not linear
Please help me thank you
Answers
Answer:
19/24 option d is correct
Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)
HELP ASAP
Answers
Answer:
Yield on this bond = 4.5%
Step-by-step explanation:
Given:
Face value of bond = $10,000
Annual interest receives from bond = $450
Find:
Yield on this bond
Computation:
Yield on bond = [Annual interest / Face value]100
Yield on this bond = [Annual interest receives from bond / Face value of bond]100
Yield on this bond = [450 / 10,000]100
Yield on this bond = [0.045]100
Yield on this bond = 4.5%
Х
Compare fractions an
Compare the numbers using a >, <, or = symbol.
2 1/2 28/10
Answers
Answer:
2 1/2 < 28/10
Step-by-step explanation:
28/10 simplifies to 2 8/10 which simplifies to 2 4/5
david invest $10,000 in a CD that pays 8% compounded quarterly. how long will it take his investment to double
Answers
Answer:
Step-by-step explanation:
1. Write a equation
[tex]10,000(1+\frac{0.08}{4})^4^x[/tex]
2. plug in 20,000 to y
[tex]20,000=10,000(1+\frac{0.08}{4})^4^x[/tex]
3. Solve
Find the measure of minor arc KL.
(x - 1)
G
H (5x + 7)04
Answers
Answer:
m(minor arc KL) = 153°
Step-by-step explanation:
"Measure of intercepted arcs between two diameters are equal in measure"
By this property,
m(JK) = m(HL)
(7x - 1)° = (5x + 7)°
7x - 5x = 7 + 1
2x = 8
x = 4
Therefore, m(arc HL) = (5x + 7)
= 5(4) + 7
= 27°
Now measure of minor arc KL = m(arc KH) - m(arc HL)
= 180° - 27°
= 153°
Therefore, measure of minor arc KL is 153°
One coin is flipped six times. What is the probability of flipping two heads and four tails?
Answers
Answer:
1/6 x 1/6 = 1/36
1/36 is our probability of getting two heads and four tails.
I don’t know what 2⁄3 × 1⁄8 × 5⁄9 =
Answers
Answer:
5/108
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5/108
Step-by-step explanation:
2/3 * 1/8 is 2/24
^2/24 can be simplified to 1/12
^ 5/9 * 1/12 is 5/108.
Therefore,
Your answer is 5/108 , if I understood the question correctly.
Factorial – is the product of natural numbers, for example:
5! = (5)(4)(3)(2)(1) = 120
Simplify the following expression:
1) 11! 2) 15! 3) 20!
8!(7-3)! 10!(9-5)! 13!
Answers
Answer:
Step-by-step explanation:
11! = 11*10*9*8*7*6*5*4*3*2*1 = 3991600
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1=1.307674368 * [tex]10^{12}[/tex]
also looks like this 1,307,674,368,000
20! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2 = 2.432902008 * [tex]10^{18}[/tex]
also looks like this 2,432,902,008,000,000,000
8!(7-3)! = 8!4! = (8*7*6*5*4*3*2)(4*3*2) = 967,680
10!(9-5)!13! = 10!4!13! =3,628,800*24*6,227,020,800 = 5.423187139*[tex]10^{17}[/tex]
At a book store, 5 fiction books are sold for every 7 nonfiction books sold. How many total books were sold if 35 nonfiction books were sold?
Answers
Answer:
25 Fiction books were sold.
Step-by-step explanation:
The total number of books is 60 books in all.
Answer:
Step-by-step explanation:Total number of books sold altogether in the end is 3040.Step-by-step explanation:A book shop sold fiction books and cartoon books at a ratio of 3:5. ... Then, it sold four times as many fiction books and 40% ... 28 fiction books sold 7 non fiction books are sold D. For every 35 fiction books are sold 11 ...
The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40
Answers
Answer:
For a gestation period of 6 months, the life span is 15.
Step-by-step explanation:
Gestation(months) x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span (years) y 30 12 6 3 25 12 10 40
y =? x= 6 months
Assuming the variables x and y have a significant correlation
Graphing the data on a spreadsheet
Using the linear equation obtained
y = 1.5229*x + 6.3425
x=6
y = 1.5229*6 + 6.3425
y = 15. 5
NO LINKS-DOCS ETC
PLZ SOLVE ASAP
LOTS OF POINTS
WILL MARK BRAINLYEST
Answers
Answer: Betsy is incorrect.
Step-by-step explanation:
The area of a trapezoid is a+b/2 multiplied by h.
First, we should do 5+8/2= 6.5
Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.
6.5 times 4= 26
Betsy thought the answer was 52, but it is 26 so she is incorrect.\
I hope this helps, may god bless you! :)
Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?
Answers
60 problems in x minutes
25x=2400
x= 96
96 minutes
(b) Rewrite the percentage in the sentence below as a decimal.
The photographer filled 40% of her memory card with animal pictures.
Answers
Explication:
40 / 100 = 0.4
Consider the system of quadratic equations
y = 3x^2 - 5x,
y = 2x^2 - x - c,
where c is a real number.
(a) For what value(s) of c will the system have exactly one solution (x,y)?
(b) For what value(s) of c will the system have more than one real solution?
(c) For what value(s) of c will the system have no real solutions?
Solutions to the quadratics are (x,y) pairs. Your answers will be in terms of c, but make sure you address both x and y for each part.
Answers
9514 1404 393
Answer:
(a) c = 4
(b) c < 4
(c) c > 4
Step-by-step explanation:
(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:
3x^2 -5x = 2x^2 -x -c
x^2 -4x +c = 0 . . . . . . . subtract the right side expression
The discriminant is
d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.
The system will have exactly one solution when d = 0.
16 -4c = 0
4 -c = 0
__
(b) There will be more than one real solution when d > 0
4 -c > 0
c < 4 . . . . two real solutions
__
(c) There will be no real solutions when d < 0.
4 -c < 0
c > 4 . . . . no real solutions
_____
Additional comment
The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.
On a coordinate plane, how are the locations of the points (7. -4) and (-7, 4) related?
OA.
reflection across both axes
OB.
reflection across the x-axis
OC. reflection across the y-axis
OD.
locations unrelated
Answers
Answer:OC
Step-by-step explanation:
what is the regular price r of a museum ticket before the discount? Enter the amount table.
Answers
Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
What is discount?
Discount is a reduction made from the gross amount or value of something.
What is regular price?
Regular price means the price at which similar goods or services are regularly sold on the market.
Given,
[tex]54=0.9r\\r=54/0.9\\r=60[/tex]
The regular price r is $60
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Answer:
The regular price r of a museum ticket before the discount is $60
Step-by-step explanation:
hope this helps
Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students that had lunch.
Answers
Answer:
300 : 180 = 5 : 3
300 : 180 = 5 : 3
Find the surface area of the following triangular pyrarnid using the net.
Each triangle is congruent, with a base of 7 ftand a height of 6ft.
Answers
Answer:
B 84 is our answer
Step-by-step explanation:
triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area