AB = 5, AP = 4, and DP = 12, then find the length of PC
Answers
Answer:
[tex]PC = 0.333[/tex]
Step-by-step explanation:
Given
[tex]AB = 5[/tex]
[tex]AP = 4[/tex]
[tex]DP =12\\[/tex]
See attachment
Required
Find PC
When two chords intersect, the product of the segments are always equal.
In chord DC, the segments are DP and PC
In chord AB, the segments are AP and PB
So:
[tex]DP * PC = AP * PB[/tex]
This gives:
[tex]12 * PC = 4 * PB[/tex] --- (1)
In chord AB, we have:
[tex]AB = AP + PB[/tex]
Make PB the subject
[tex]PB = AB - AP[/tex]
This becomes
[tex]PB = 5 - 4[/tex]
[tex]PB = 1[/tex]
[tex]12 * PC = 4 * PB[/tex] --- (1) becomes
[tex]12 * PC = 4 * 1[/tex]
[tex]12 * PC = 4[/tex]
Make PC the subject
[tex]PC = \frac{4}{12}[/tex]
[tex]PC = 0.333[/tex]
Related Questions
A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the pool?
Answers
let the time taken to be filled by both pipes be y
1/2 +1/8=1/y
(4+1)/8=1/y
5/8=y
cross multiplying
5y=8
y=8/5
=1.6hrs
What is the missing number?
Answers
Answer:
12
Step-by-step explanation:
The missing number is the y-intercept (b) of the table of values given.
Since we already know from the equation that the slope (m) = -³/2, therefore to find y-intercept (b) substitute the coordinates of a pair of value, say (x, y) = (4, 6), and m = -³/2 into y = mx + b
Thus,
6 = -³/2(4) + b
6 = -6 + b
6 + 6 = b
b = 12
The missing number is 12.
Which will give you:
[tex] y = -\frac{3}{2}x + 12 [/tex]
Anyone know how to answer this math question
Answers
Answer:
[tex](x+1)^2+(y-5)^2=36[/tex]
Step-by-step explanation:
The standard form equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where
(h, k) is the center and r is the radius.
Match up the point (-1, 5) with (h, k) to see that h = -1 and k = 5.
x - h = x - (-1) = x + 1
y - k = y - 5
[tex](x+1)^2+(y-5)^2=36[/tex]
find the 12th term of the geometric sequence show below x^2, -2x^6, 4x^10
Answers
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
Answers
Explanation:
x = 18/1/20
x = 18 x 20
x = 360ft
what is the range of the function in this table
Answers
Answer:
B
Step-by-step explanation:
RANGE are the Y values
Answer:
b
Step-by-step explanation:
17
11
S
3
18
If the median is 17, which number could s be?
7
18
Answers
Answer:
s=18
Step-by-step explanation:
the median is 17(middle number)
It goes from smaller to bigger
2 numbers onthe left of 17 and 2 numbers on the right of 17
3 11 17 18 18
Answer:
it would be 18
Step-by-step explanation:
18 being the answer makes 17 the middle it has to be more than 17 and it is 18
Help due at 12 am
God bless you
Answers
Plz mark me brainless
There are 8 people seated, equally spaced, along a counter. If each person has 1 3/8 feet of counter space, how long is the counter?
Answers
Answer:
8+(13-8)=13 pls Point pls
4. Which of the following describes all the solutions of -4x + 2y > 12 when y = 4?
A x < -1
B X > -1
CX-3
D x < 3
Answers
Answer:
Option B is correct
Step-by-step explanation:
Given data
We are given the expression
-4x + 2y > 12
We want to substitute y=4 into the expression
-4x + 2(4) > 12
-4x + 8 > 12
-4x> 12-8
-4x> 4
divide both sides by -4
x> 4/-4
x>-1
Hence option B is correct
I need help figuring this out, thank you! :)
Answers
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8PLEASE HELP THIS IS DUE TODAY
rearrange the parallelogram as a rectangle. Then find the area.
Answers
Find the measure of major
arc
OQN.
M
K
IN
38
6
P
Answers
Answer:
Measure of the major arc OQN = 292°
Step-by-step explanation:
Measure of the major arc OQN = 360° - m(arc ON)
By the definition of central angle subtended at the center by the arc,
Measure of arc ON = Central angle subtended by the arc
= 38°
Now measure of the major arc OQN = 360° - 38°
= 292°
Which of the following is the expanded form of a number? Select all correct answers.
(A) 7·1000+8·100+3· 1/100
(B) 4·100+9·100+3· 1/10 +4· 1/10
(C) 71·10+4·1+6· 1/100 +5· 1/1000
(D) 5·1000+5·100+5·1+5·1/100
(E) 3·1000+8·1000+9·1/1000
(F) 9·1000+3·101+5· 1/10
Answers
Answer:
3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000. (ii) 7833.45. = 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths. = 7000 + 800 + 30 + 3 + 4/10 + ...
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
How to represent a number in expanded form?
The expanded form of a number involves representing a number by the sum of each digit multiplied by its place value (ones, tens, hundreds, thousands, and so on).
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
Find out more on expanded form at: https://brainly.com/question/536253
What shape are the faces, other than the base,
of a pyramid?
Answers
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
What value of c makes the equation true? 34 = 6 + 4c
Answers
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
c=7
Answer:
The answer would be 'c=7'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
What is 4/6 times 9 I need this
Answers
Answer:
5.4 I think sorry if its wrong
Step-by-step explanation:
plzz help for brainly
Answers
Answer:first one
Step-by-step explanation:
In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answers
Answer:
x=16
Step-by-step explanation:
8x-4=180
8x=184
x= 16
3/10 of the beads in a jar are red, the rest are blue if there are 500 more blue beads than red, how many beads are together?
Answers
Answer:hope it helps.
Step-by-step explanation:
Tell me at least one way you use math in your everyday life. Please put your answer in a complete sentence.
Answers
Answer:
To make mistakes and learn more.
Step-by-step explanation:
Because, the only way to learn math is to make mistakes, its okay to make mistakes!
Answer:
i use math in my everyday life to calculate calories for my diet.
Step-by-step explanation:
Please answer if you are SURE.
Answers
Answer Step-by-step explanation:
2x-7
-14
3x
2+7
In a large county in Central Pennsylvania, 42% of all registered voters are Democrats and 53% are Republicans. What is the probability a randomly selected voter is affiliated with some other party?
Answers
Answer:
Probability [Randomly selected voter affiliated with other party] = 1/20
Step-by-step explanation:
Given:
Percentage of Democrats voters = 42%
Percentage of Republican voters = 53%
Find:
Probability [Randomly selected voter affiliated with other party]
Computation:
Percentage of other party voters = 100% - [Percentage of Democrats voters + Percentage of Republican voters]
Percentage of other party voters = 100% - [42% + 53%]
Percentage of other party voters = 100% - 95%
Percentage of other party voters = 5%
Probability [Randomly selected voter affiliated with other party] = Percentage of other party voters / 100%
Probability [Randomly selected voter affiliated with other party] = 5% / 100%
Probability [Randomly selected voter affiliated with other party] = 1/20
• (1,7)
- 10
(0,0)
10
D
A. y = 7x
O B. y = 3x
O C. y = 21x
OD. y=-3x
O E. Y= 1/5x
O E y = -7x
Answers
ILL GIVE BRAINLIEST PLS HELP DUE SOON!
Answers
Answer:
area of shaded portion = 30.5 cm²
Step-by-step explanation:
area of circle = πr² = (3.14)(5²) = 78.5 cm²
area of rectangle = L x W = 8 x 6 = 48 cm²
78.5 - 48 = 30.5 cm²
A data set includes data from student evaluations of courses. The summary statistics are n, , s. Use a significance level to test the claim that the population of student course evaluations has a mean equal to . Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answers
Complete question :
A data set includes data from student evaluations of courses. The summary statistics are nequals92, x overbarequals4.09, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answer:
H0 : μ = 4.25
H1 : μ < 4.25
T = - 2.79
Pvalue =0.0026354
we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Step-by-step explanation:
Given :
n = 92, xbar = 4.09, s = 0.55 ; μ = 4.25
H0 : μ = 4.25
H1 : μ < 4.25
The test statistic :
T = (xbar - μ) ÷ s / √n
T = (4.09 - 4.25) ÷ 0.55/√92
T = - 0.16 / 0.0573414
T = - 2.79
The Pvalue can be obtained from the test statistic, using the Pvalue calculator
Pvalue : (Z < - 2.79) = 0.0026354
Pvalue < α ; Hence, we reject the Null
Thus, we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Answer:
Step-by-step explanation:
The null and alternative hypotheses are:
Null hypothesis: The population mean of student course evaluations is equal to 4.25.
Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.
The significance level is 0.01, so the test will be a two-tailed test.
The test statistic is calculated as:
t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63
The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.
Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.
In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.
Stacia buys 6 yards of ribbon to make a costume. She has 2 feet of ribbons left over. How many feet of ribbon did Stacia use to make the costume? Explain your work.
ANSWER WITH WORDS
Answers
Answer:
16 feet
Step-by-step explanation:
6 yards of ribbon = 6 x 3 =18 feet
ribbon used = 18 -2 = 16 feet
Yesterday, a movie theater sold 269 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all the movie theater made $494 from
popcom sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
The movie theater sold large bags of popcorn and small bags of popcorn.
Answers
Answer:
S=194, L=75 L+S=269, 4L+1S=$494
Step-by-step explanation:
Find the value of 4.5 times the value of one fourth of 12
Answers
Answer: 13.5
Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5
A car park has 20 vehicles 12 of them are cars.what fraction of the vehicles are cars?
Answers
hope this helped.