Answers
Explanation:
The Law of Cosines can be used to write a quadratic in x. The desired form corresponds to its solution using the quadratic formula.
[tex]L^2=r^2 +x^2 -2rx\cdot\cos{\theta}\\\\x^2-2rx\cdot\cos{\theta}+(r^2-L^2)=0[/tex]
Using the quadratic formula gives the positive value of x as ...
[tex]x=\dfrac{-(-2r\cdot\cos{\theta})+\sqrt{(-2r\cdot\cos{\theta})^2-4(1)(r^2-L^2)}}{2(1)}\\\\\boxed{x=r\cos{\theta}+\sqrt{r^2\cos^2\theta+L^2-r^2}}[/tex]
Related Questions
• 3 skittles are red • 6 skittles are green • 3 skittles are blue A skittle will be randomly selected from the bag. What is the probability in decimal form that the skittle selected will be green?
Answers
Answer:
13.4
Step-by-step explanation:
You multiple all of numbers and divide it by 4
Answer:
The probability of pulling out a green skittle in decimal form is 0.5
Step-by-step explanation:
Hope that helps
Help please it's urgent
Answers
Answer:
7.6
Step-by-step explanation:
please make me brainliest
Answer:
it’s me on another account make my other title brainliest now :D
Step-by-step explanation:
my equation is - 3 = X + 8
Answers
Answer:
X=-11
Step-by-step explanation:
Isolate the varible. Substract 8 on both sides to get X equals -11
Hope this helps!
Can anyone help me solve this series problem?
Answers
Answer:
32 by using triangle taerem
Find the value of x for the triangle.
Answers
The sum of all the angles in a triangle is 180 degrees, so we get the equation:
[tex]55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3[/tex]
The value of x is -3.
Hope that helps!
Answer:
(x+74)+55+54=180
x= -3
00
1
Which number makes the sentence true?
-3,834 = 2,470
OA. 6,304
ОВ.
6,305
OC. 6,314
OD. 1,364
Answers
Answer:
The answer for this question is 6,304
Please help meeeeeee
Answers
Answer:
a) 45°=x
b) not
................
How to find angles C and D.
Answers
Answer:
c = 21º
d = 100º
Step-by-step explanation:
In questions like this, always find the angles you can find and it will help you find more and more.
So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140
angle e = 140º
Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.
As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º
Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º
Can someone please help me.
Answers
Its figure A cause see how it says small squares thats the one
thanks
your gurl unique
Learning POST-Qunz Greatest Common Factor - Item 31123 Ques Drag each pair of numbers to show if their greatest common factor (GCF) is less than 6, equal to 6, or greater than 6 CLEAR CHE 8 and 20 18 and 45 4 and 10 12 and 28 12 and 30 16 and 24 GCF is less than 6. GCF is equal to 6. GCF is greater than 6. DRAG AND DROP ITEMS DRAG AND DROP ITEMS HERE DRAG AND DROP ITEMS HERE be here to search 昌 52°
Answers
The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .
Graph the following function: y=−sec(x+π/4)+2
Answers
A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.
Answers
Answer:
50 + 40x
Step-by-step explanation:
Solve x / by 2.4 =12.7
Answers
Answer:
30.48
Step-by-step explanation:
...
Answer:
30.48
Step-by-step explanation:
2.4x12.7=30.48
Evaluate −2x2−4x+3 when x=−2.
Answers
Answer:
-2 x 2 - 4x + 3
If x = -2, then . . .
-2 x 2 -(-4 x -2) + 3
-2 x 2 + 8 + 3
The answer is 7
I know this because of
( )
Exponents
x or /
+ or -
-2x2-4(2)+3 = 7 because x=3 so,
-2x2-8+3
7
Help me! Please.✅✅✅✅✅✅
Answers
Answer:452.38934211693
Step-by-step explanation:
100 POINYS AND BRIANLIST
Answers
Answer: See below
Step-by-step explanation:
Let A represent an adult who visited a therapist
Let B represent an adult who used a non-prescription antidepressant
Given:
P(A) = 0.28 P
P (B) = 0.43
P(A Intersection B) = 0.22
a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27
P(B | A) = 0.79 or 79%
b) P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3
P(A | B) = 0.51 or 51%
Answer:
(a) 44.44%
(b) 71.43%
Step-by-step explanation:
Let A = adults who visited a therapist.
Let B = adults who used antidepressants.
Therefore:
P(A) = 0.28P(B) = 0.45P(A ∩ B) = 0.20Part (a)[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\A given B:\\\\$\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}$\\\end{minipage}}[/tex]
To calculate the probability that an adult visited a therapist (Event A) during the past year, given that he or she used antidepressants (Event B), use the conditional probability formula for A given B:
[tex]\implies \sf P(A | B)=\dfrac{PA \cap B)}{P(B)}[/tex]
[tex]\implies \sf P(A | B)=\dfrac{0.2}{0.45}[/tex]
[tex]\implies \sf P(A | B)=0.444444...[/tex]
[tex]\implies \sf P(A | B)=44.44\%\;\; (nearest\; hundredth)[/tex]
Part (b)[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\B given A:\\\\$\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}$\\\end{minipage}}[/tex]
To calculate the probability that an adult used antidepressants (Event B), given that he or she visited a therapist (Event A) during the past year, use the conditional probability formula for B given A:
[tex]\implies \sf P(B | A)=\dfrac{P(A \cap B)}{P(A)}[/tex]
[tex]\implies \sf P(B | A)=\dfrac{0.2}{0.28}[/tex]
[tex]\implies \sf P(B | A)=0.714285714...[/tex]
[tex]\implies \sf P(B | A)=71.43\%\;\; (nearest\; hundredth)[/tex]
Can you please help me please can you answer both of these questions
Answers
Answer:
Item 2
Perimeter is (5*2) + 12.5*2 = 35 ft
Area is 12.5 * 5 = 62.5 ft^2
________________
Item 3
perimeter is (5.8*2) + 9*2 = 29.6 ft
Area is 9 * 4.8 = 43.2 ft^2
Step-by-step explanation:
Hope to help you
Formular of area. you can find in internet. If you forgot.
and perimeter can take length each side to sum.
Write an equation of the form y = mx for the line shown below. If appropriate, use the decimal form for the slope.
Answers
Answer:
y=3/4x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-3))/(4-(-4))
m=(3+3)/(4+4)
m=6/8
m=3/4
y-y1=m(x-x1)
y-(-3)=3/4(x-(-4))
y+3=3/4(x+4)
y=3/4x+12/4-3
y=3/4x+3-3
y=3/4x
How many ninth does it take to make the same amount as one third
Answers
Answer:
3
Step-by-step explanation:
you have 1/3, to find out how many ninths you have, you must multiply the denominator by three (because 3*3=9). whatever you multiply on the bottom you must multiply on the top (if you don't do that then it's not the same as 1/3 anymore)
therefore 1/3 == (1*3)/(3*3) == 3/9
if you want to know how many twelves it was then you multiply by 4 to get 12 on the bottom:
1/3 == (1*4)/(3*4) == 4/12
therefore 1/3 == 3/9 == 4/12. they are all the same fraction
Brainliest if correct
Answers
Answer:
[tex]\frac{2}{3} + \frac{1}{5} = \frac{10}{15} +\frac{3}{15} = \frac{13}{15}[/tex]
PLEASE BRANLIEST ANSWER IS CORRECT I CHECKED
Step-by-step explanation:
First, find the least common denominator which is 15.
[tex](\frac{5}{5})\frac{2}{3} + (\frac{3}{3})\frac{1}{5}[/tex]
When we multiply by 5/5 or 3/3 we are not changing the value of the fraction, just turning the denominator into one which we can work with the other fraction's denominator.
After simplification:
[tex]\frac{10}{15} + \frac{3}{15}[/tex]
Now we can add:
[tex]\frac{13}{15}[/tex]
Answer:
13/15
Step-by-step explanation:
because 5 x 2=10 3 x 1=3
5 x 3=15 5 x 3=15
10/15+3/15= 13/15
HELP PLEASE!
Three consecutive integers have a sum of 57. Find the integers.
Answers
Answer:
18, 19, and 20.
Step-by-step explanation:
Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.
Zoe walks 13of a mile every 25of an hour.
How many miles does Zoey walk per hour?
Answers
Answer:
25/13 miles in an hour
Step-by-step explanation:
So she walks 1/13 mile per 1/25 hour.
To find the miles in an hour, just multiply the 1/25 hour by 25/
1/25 hour * 25 = 1 hour.
1/13 mile * 25 = 25/13 miles in an hour
Maria has 7 gallons of water. Josh has 24 quarts of water. How many more cups of water does Maria have than Josh?
Answers
Answer: Maria has 16 more cups of water than Josh
Step-by-step explanation:
Answer:
38.51
Step-by-step explanation:
1 gal: 19.21 cups
7 gal x 19.21 cup = 134.51 cups
1 quart: 4 cups
24 x 4 = 96 cups
134. 51 - 96 = 38.51 cups
Have an amazing day!
PLEASE RATE!
i need help on this question
Answers
Answer:
Step-by-step explanation:
∠WTX = ∠WUV (facing same arc WV)
9x + 18 = 15x
6x = 18
x = 3
In ΔXUV,
∠VXU = 180 - 15x - (3x + 21)
= 180 - 18x - 21
= 159 - 18(3)
= 159 - 54
= 105°
please help asap
perform the indicated operation. Write the answer in the form a+bi.
(3-10i)(2+4i)
20 points
Answers
Answer:
46 -8i
Step-by-step explanation:
Multiplication of complex numbers is done in a fashion similar to multiplication of any binomials. The difference is that i² = -1, so some terms can be combined.
(3 -10i)(2 +4i) = 3(2 +4i) -10i(2 +4i)
= 6 +12i -20i -40i² = 6 -8i +40
= 46 -8i
_____
Your calculator may be able to help.
Choose the number equal to: -9 • (-1/3) A) -27 B) -3 C) 3 D) 27
Answers
I NEED HELPPPPPPLLLPLEASE
Answers
Step-by-step explanation:
variability = larger range
can you put your answer below
find the cardinality of x , if x={-n,...,-2,-1,0,1,.....n}
Answers
Cardinality is the number of elements in a given mathematical set.
In this set,the cardinality is 2n + 1
Explanation the n is a certain number and also in this set it has both negative and positive n
Before the number of elements in this set excluding one (which is 0 is 2n then the other one is added
Hence the cardinality is 2n + 1
Question 3
It takes 2 2 hours to type a 7-page report. It takes / hour to photocopy the 11 copies of the report.
How long did it take to complete the report? (Tick appropriate box)
0 4 Hours
3 Hours and 45 minutes
O 2 Hours and 45 minutes
Answers
Answer:
3 Hours and 45 minutes
Step-by-step explanation:
2 hours and 30 minute 11/4 is 1 hour and 15 minutes add that and its get 3/45
A. Fill in the missing even or odd numbers.
- 16
1) 6, 8, 10,
2) 38, 42, 46,
58
3) 80, 74, 62, 56,
4) 61, 63, 65, _ 71
5) 109, 107, 105,99
Answers
1) 12, 14
This is the answer because each increasing number was increased by 2, so if you add 2 to 10, you'd get 12. If you add 2 to 12, you would get 14.
2) 50, 54
Same explanation as above but for the number 4.
3) 68, 50
Same explanation as 1, but with subtracting the number 6.
4) 67, 69
Same as number 1
5) 103, 101
Same as number 3 but subtracting the number 2
Hope this helps!!! :)