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.
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).
Suppose the sequence {an} is arithmetic with a3 = 15, d = -3/2, and an=6
Find n.
Answer:
The value of n = 9th term
Step-by-step explanation:
Given:
In an arithmetic series
a3 = 15
d = -3/2
an = 6
Find:
The value of n
Computation:
In an arithmetic series
An = a + [n - 1]d
where,
An = last term
a = first term
n = number of term
d = common difference
So,
a3 = a + 2d
15 = a + 2(-3/2)
15 = a - 3
a = 18
An = a + [n - 1]d
6 = 18 + [n - 1][-3/2]
-12 = [n-1][-3/2]
8 = n - 1
The value of n = 9th term
Which situation can be modeled by the expression 4 divided 1/3
Answer:
4
Step-by-step explanation:
4/1x 3/1 =12/1=4
Ms.schmidt gav her students the list of number shown below
Step-by-step explanation:
Can you re-do it and send like an example for it THANK YOU SM
I'm really stuck and need help asap.
a = 8
b = 1/4
c = 1
hope this helped :)
Answer:
ax= 8x, by=1/4y and c=1 try that
Frederick's salary varies directly with the hours he works. Last week I earned $ 328.30 and worked 33.5 hours. If he works 35 hours this week, what will be his salary from him?
Answer:
His salary will be of $343.
Step-by-step explanation:
Frederick's salary varies directly with the hours he works.
This means that this question can be solved by proportions, using a rule of three.
We have that:
For 33.5 hours, he earned $328.30. How much he earns for 35 hours?
33.5 hours - $328.30
35 hours - $x
Applying cross multiplication:
[tex]33.5x = 328.30*35[/tex]
[tex]x = \frac{328.30*35}{33.5}[/tex]
[tex]x = 343[/tex]
His salary will be of $343.
The box-and-whisker plot shows the
number of miles run per week by the
members of a running club.
What is the range of the data?
Answer:
18
Step-by-step explanation:
range= max-mini
21-3=18
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
Giving the brainliesttt
What is the range when the domain is
A) -8
B) -4
C) 4
D) 0
E) 10
I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported
Answer:
14. 13.65
15. 7.53
17. 0.0371
18. 0.81
19. 0.864
Here are some answers! Hope this helps
HELP WILL GIVE BRAINLIEST!
Answer:
128 boxes
Step-by-step explanation:
The dimensions of the trunk is 24 in. by 24 in by 48 in
The volume = 24(24)(48) = 27648 cu. in.
The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.
27648/216 = 128 boxes
Write down the first 4 terms of the sequence given by f(n) = 2n + 3
PLZ ANSWER I WILL MARK BRAINLIEST
Step-by-step explanation:
There is a difference between the numbers that is 6
So...
y=6x+5
Answer:
6x+5
Step-by-step explanation:
1 x 6=6+5=11
Determine whether (2,-1) and (-4,2) satisfy the inequality 2x-3y>4. Neither (2,-1) nor (-4,2) satisfies the inequality. (-4,2) satisfies the inequality, but (2,-1) does not. (2,-1) satisfies the inequality, but (-4,2) does not. Both (2,-1) and (-4,2) satisfy the inequality.
Answer:
(2,-1) satisfies the inequality, but (-4,2) does not.
Step-by-step explanation:
To verify if the points satisfy the inequality, we replace then in the inequality, and see if we have a true statement or a false one.
(2,-1)
[tex]x = 2, y = -1[/tex]
So
[tex]2x - 3y > 4[/tex]
[tex]2(2) - 3(-1) > 4[/tex]
[tex]4 + 3 > 7[/tex]
[tex]7 > 4[/tex]
This is a true statement, which means that (2,-1) satisfies the inequality.
(-4,2)
[tex]x = -4, y = 2[/tex]
So
[tex]2x - 3y > 4[/tex]
[tex]2(-4) - 3(2) > 4[/tex]
[tex]-8 - 6 > 7[/tex]
[tex]-14 > 4[/tex]
This is a false statement, so (-4,2) does not satisfy the inequality.
The correct answer is:
(2,-1) satisfies the inequality, but (-4,2) does not.
write an equation of the line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
y = -2x + 1.5
Step-by-step explanation:
line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)
slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2
(y - -4.5) / (x - 3) = -2 ... pass (3,-4.5)
y + 4.5 = -2x +6
y = -2x + 1.5
You get a single payment loan of $4,400 at an interest rate of 12% the term of the loan is 172 days how much exact interest will you pay
9514 1404 393
Answer:
$248.81
Step-by-step explanation:
The interest formula is ...
I = Prt
where principal P earns interest at annual rate r for t years. Here, t is a fraction of a year: 172/365. The interest is ...
I = $4400×0.12×172/365 ≈ $248.81
You will pay interest of $248.81.
Answer:
$ 248. 81 is the answer.Step-by-step explanation:
[tex] \carryonlearning[/tex]Teagan was playing Trouble and recorded the number
of times she rolled a 6. During the game, she was
successful 5 times out of the 25 times she tried.
What was the experimental probability of rolling a 6 in
the game? Write your answer in decimal form.
Answer:
20%
Step-by-step explanation:
Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.
Which of the following values is not changed by moving the center of an ellipse? a or b b c a, b or c
Answer:
a, b or c
Step-by-step explanation:
Find the 12th term of the geometric sequence 5, –25, 125, ...
HELP ASAP WILL NAME BRAINLEST
Step-by-step explanation:
[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]
Match the appropriate transformation with the appropriate rule.
Answer:
i only know one, which is c and 2
Step-by-step explanation:
Please look at the images below. (I will mark you as Brainliest if you are correct!)
Answer:
ima say its a that is my lucky guess im sorry if you get it wrong
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary
o -2.88
o -2.00
o -0.65
o -0.53
Answer:
-2.88
Step-by-step explanation:
When graphed Y=0 crosses the X-axis three times
X= -2.88, -0.65, 0.53
Answer:
It's A on edge or -2.88
Step-by-step explanation:
please soleeeeeeeeeeeeèeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Answer is 99. I am pretty sure.
7 1/2 x 3/4 = 45/8 =
Answer:
90/6 is the answer
Step-by-step explanation:
Answer:
15/71
Step-by-step explanation:
(
71
2
x)(3)
4
=
45
8
(
71
2
x)(3)*(8)=(45)*(4)
852x=180
Step 2: Divide both sides by 852.
852x
852
=
180
852
Math people please answer me this please fast!!!!!
Answer:
Wait nvm sorry point A is at (1,-5) so the answer is B
Step-by-step explanation:
Which function represents a quantity growing exponentially?
A y = 2(0.5)
В y = 0.5(2)
C y = 2(0.5)2X
D y = 6)
Answer: c
Step-by-step explanation:
I need help with this
Answer:
cool dude
Step-by-step explanation:
A boat traveled 17 miles in 2 hours. At this rate, how many
miles will the boat travel in 72 hour
Answer:
1 hour=8.5miles
Step-by-step explanation:
if the boat traveled 17 miles in 2 hours then in 1 hour the boat traveled, because 17/2=8.5
idek if this answers your question but 8.5*72=612
Given the set of integers 1 − 20 , what is the probability of selecting a number that is divisible by 7 ?
The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].
What is probability?Probability deals with finding out the likelihood of the occurrence of an event.
It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.
The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Given
Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
The probability of selecting a number that is divisible by 7 :
We all know the 7 multiples less than 20 : 7, 14
There are 2 numbers that are divisible by 7 in the set of integers 1 - 20
Therefore, Number of favorable outcomes n(E) = 2
Total number favorable outcomes n(S) = 20
Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]
Hence,
The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].
Find out more information about probability here
https://brainly.com/question/14395172
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