Answers
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
Related Questions
The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800
C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?
Answers
Answer:
[tex]P(x<810)=0.5[/tex]
[tex]P(x<800) = 0[/tex]
[tex]P(x>808.40) = 0.58[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Step-by-step explanation:
Given:
[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x<800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x<820^{\circ} \mathrm{C}} \\ {1} &; {x>820^{\circ} \mathrm{C}}\end{array}[/tex]
Solving (a): P(x < 810)
To solve this, we make use of:
[tex]P(x<810) = F(x) = 0.05x - 40[/tex]
Because
[tex]800^\circ C \le 810 \le 820^\circ C[/tex]
So:
[tex]F(x) = 0.05 * 810 -40[/tex]
[tex]F(x) = 40.5 -40[/tex]
[tex]F(x) = 0.5[/tex]
Hence:
[tex]P(x<810)=0.5[/tex]
Solving (b): P(x < 800)
To solve this, we make use of:
[tex]P(x<800) = F(x) = x[/tex]
Because:
[tex]x < 800^\circ C[/tex]
So:
[tex]P(x<800) = 0[/tex]
Solving (c): P(x > 808.40)
Here, we make use of complement rule:
[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]
Where:
[tex]P(x\le808.40) = 0.05x - 40[/tex]
[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]
[tex]P(x\le808.40) = 0.42[/tex]
So:
[tex]P(x>808.40) = 1 - 0.42[/tex]
[tex]P(x>808.40) = 0.58[/tex]
Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:
[tex]P(805.40 < x < 808.40)[/tex]
This is calculated using:
[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]
[tex]P(805.40 < x < 808.40) = 0.15[/tex]
Using complement rule, the required probability is:
[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
Answers
I = (16,000)(0.1)(0.5)
I = $800
help if a plane go down on by newyork and newjersey where do you bury the survivors
Answers
Answer:
You don't bury survivors because they survived
Step-by-step explanation:
I don't know how to do this, please help
Answers
Answer:
m7=80º
m8=100º
Step-by-step explanation:
i needa big mac frfr brrrrrrrr
Answers
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
5,890,000=a×10b a==?
Answers
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
Answer this correctly with an explanation I’ll give u brainalist + 10 points
Answers
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
D
Step-by-step explanation:
HELP QUICK PLZ
The cost to purchase a song from iTunes is $0.99 per song. To purchase from Napster, you must be a member. The Napster membership fee is $10, in addition to $0.89 per song. How many songs would need to be downloaded for the monthly price of Napster to be the same as iTunes?
Answers
Answer:
It will take
100 songs for the monthly price of Napster to cost the same as iTunes.
Convert 65 millimeters to centimeters
Pls use step by step pls
Answers
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Divide 65 by 10 to get the number of centimetres:
65mm/10mm=6.5cm
Hope this helps!!
What is a measurement 90 degrees called
Answers
Answer:
A right angle.
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.
Answers
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
Part A
In the boxes provided, write three equations that can be solved to
find h, the number of hours it takes James to mow each of the
three lawns. Use h and = in each equation.
Equation for Mrs. Chavez's lawn:
Equation for Mr. Ortiz's lawn:
Equation for Mrs. White's lawn:
Answers
Answer:
Step-by-step explanation:
To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)
Reasoning There are 27 more green ca
in the parking lot. What percentage of
lot are green? What percent are black
Answers
hi 13% are black and 13% are green
Can someone please help me
Answers
Answer: 7 and 83
Step-by-step explanation:
complementary have an engles sum of 90 degree
7+83=90.
What percent is 31 green fish out the f 49
Answers
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100
What is the value of x in the equation?
3(2x+3)=27
Answers
Answer:
x=3
Step-by-step explanation:
3(2x+3)=27
2x+3=27/3=9
2x=9-3=6
x=6/2=3
Josiah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries? 1 pound = 1 pound= 16 ounces 16 ounces Before you try that problem, answer the question below. How many ounces of strawberries did Josiah buy?
Answers
Answer:
$0.30 per ounce
Step-by-step explanation:
16 ounces per pound
16 x 2 = 32 ounces per 2 pounds
9.60/32 = $0.30 per ounce
The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? 
A f(x)=-2x^4
B f(x)2x^4
C F(x)=-1/2x^4
D f(x)=1/2x^4
( NEED HELP ASAP PLZ)
Answers
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
Answers
Hope this helps
Leave a like and brainliest!
Geometry proof help please
Answers
Answer:
the picture is blurt can't see any thing sorry can't help
Henry constructed circle A with a radius of 4 units. He then created a sector
as shown in the figure below. Which of the following expressions would help
him find the area of the shaded sector?
Answers
Answer:
C
Step-by-step explanation:
area of circle is found by [tex]\pi[/tex][tex]r^{2}[/tex]
r=4 so 4*4=16
so A=16[tex]\pi[/tex]
we are finding area of shaded part so 45/360(16[tex]\pi[/tex])
The area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
Henry constructed circle A with a radius of 4 units.
Henry then created a sector as shown in the figure below.
As we know, the area of the sector can be find using the formula:
Area of the sector = (θ/360)πr²
Here, θ is the central angle
r is the radius
π = 3.141
r = 4 units
θ = 45 degrees
A = (45/360)π(4)²
A = (45/360)16π square units
Thus, the area of the shaded sector is (45/360)16π square units if Henry constructed circle A with a radius of 4 units option (C) is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answers
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
Please need help please please
Answers
Answer:10
Step-by-step explanation:
Answer:
10 people
Step-by-step explanation:
Please I need help it’s an emergency
Answers
Answer:
C. 1.35 M
I hope it helps...
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answers
Answer:
20 Sq cm
Step-by-step explanation:
Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.
Area of trapezium
[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]
Hope this helps!!
WILL MARK BR ONLY HAVE 5 MINUTES XTRA POINTS
Answers
Answer:
B 8 out of 43
Step-by-step explanation:
Answer:
8 out of 43
Step-by-step explanation:
There are 86 total chocolates
There are 16 taffy chocolates
So the current ratio is 16:86
You can divide it by 2 which gives you "8 out of 43"
2. Bryan wants to rent a boat. The rental shop charges an initial fee of $12 plus $8 per hour to
rent the boat. If he paid a total of $120 when he rented a boat, for how many hours was the
boat rented?
Answers
Answer:
13.5 hr.
Step-by-step explanation:
Let h = no. of hours
Total cost = 12 + 8h = 120
8h = 108
h = 13.5 hr.
An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.
The relationship between
n
and
S
(
n
)
is shown in the table below.
Answers
The question is incomplete. Here is the complete question.
An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.
The relationship between n and S(n) is shown in the table below.
Which of the following equations represents an explicit formula for S(n)?
A. S(n) = 40,000(1.05)ⁿ
B. S(n) = 40,000 + 1.05n
C. S(n) = 40,000(1.05)ⁿ⁻¹
D. S(n) = 40,000 + 1.05(n-1)
Answer: A. S(n) = 40,000(1.05)ⁿ
Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:
[tex]S(n)=S_{0}r^{n}[/tex]
where
S₀ is the initial value
r is the rate the salary grows
n is the years the employee worked
From the table, in the first year, an employee receives $40,000, so, that is the initial value.
The salary increases at a constant rate of 1.05 per year, as shown below:
[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]
r = 1.05
So, the rate the salary grows is r = 1.05 or 5%.
Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].
In a certain town there were 348 robberies last year. This year the number of robberies has gone down 40%. How many robberies were there this year, to the nearest whole number?
Answers
Answer:
209 robberies
Step-by-step explanation:
Robberies last year =348
Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.
Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8
To the nearest whole number = 209
There are 209 robberies this year.
I hope this help.
Which fraction is equivalent to 9 12
Answers
Answer:
3/4
Step-by-step explanation:
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction