The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
Fill in the blanks please!!
Answer:
6,I can't help with the second one I wasn't good with that parallel lines
Step-by-step explanation:
Y2-Y1. So 3-9. 6
--------- - - -- = - - =6
X2-X1. 1-2. 1
A survey was given to 321 people asking whether people like dogs and/or cats.
136 said they like dogs
187 said they like cats
41 said they don't like cats or dogs.
How many said they liked both cats and dogs?
232
people liked both cats and dogs.
Submit Question
Answer:
o lawd somebody get Steve Harvey
Step-by-step explanation:
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Step-by-step explanation:
z-score of X = 6150
[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]
z-score of X = 6350
[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]
P(X<6150) + P(X>6350)
=P(z<-0.4) + P(z>-0.4)
=0.3446+0.3446
=0.6892
Given that f(x)= x^2+4, evaluate f(-2)
Answer:
f=-x^2/2-2
Step-by-step explanation:
1.(154)10=(?)2
helpme! to solve it plz.
Answer:
I think its (10000110)2
solve pls brainliest
Answer:
1.833, 3.3052, 3.35, 3.5
Step-by-step explanation:
Hope this helps! :)
Find the missing values in the ratio tables.
Answer:
tatlong Lugar na posibleng paglaruan ng luksong tinik
Using distributive property, factor out the GCF and rewrite 54 + 90
Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90
Why is 4 called a constant?
Answer:
because 4 is a fixed value. and it is not a variable.
Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi
Answer: Taylor is 14 and Jessi is 13
Step-by-step explanation:
Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.
Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.
The cost would be the same for 47 Go golf and 54 golf games.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
Given data as:
Charges for Go Golf -
Renting a ball and a club costs $2.50.
$4.25 for one game and
Charges for Golf Games -
3.25 for the rental of a ball and a club
$8.50 for two games
We have to determine the number of games would the cost be the same.
Total charges of Go golf per game = $2.50 + $4.25 = $6.75
Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75
For per game = $11.75 / 2 = $5.875
Let the game would be x for Go golf and
And let game would be y for the golf game
As per the given condition,
6.75 x = 5.875y
27/4 x = 47/8 y
Apply cross multiplication operation,
54x = 47y
x/y = 47 / 54
x = 47
So y = 54.
Hence, the cost would be the same for 47 Go golf and 54 golf games.
Learn more about Multiplication operations here:
brainly.com/question/25834626
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The cost would be the same for 47 games at Go Golf and 54 games at Golf Games.
Total charges of Go golf per game = $2.50 + $4.25 = $6.75
Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75
Cost per game at Golf Games
= Total charges for 2 games / 2
= $11.75 / 2
= $5.875
Let the number of games be x for Go Golf and y for Golf Games.
As per the given condition,
6.75x = 5.875y
To find the relation between x and y, cross-multiplication can be used:
27/4 x = 47/8 y
54x = 47y
x/y = 47/54
Comparing the value gives
x = 47 and y = 54.
Hence, the cost would be the same for 47 games at Go Golf and 54 games at Golf Games.
Learn more about Ratio here:
https://brainly.com/question/13419413
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What is the application of inverse matrix?
Answer:
The inverse matrix is used to solve the system of linear equations. It also tells us the consistent or inconsistent behaviour of the solution of equations.
Step-by-step explanation:
In real life,
Whereas in programming which is taught at the university, matrices and inverse matrices are used for coding and encrypting messages. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc. They are best representation methods for plotting surveys.what is 512 grams in pounds
Answer:
1.12877
Step-by-step explanation:
You could also round it to the nearest tenth and just say 1.1 pounds
Answer:
1.12877 pounds
Step-by-step explanation:
For an approximate result, divide the mass value by 454.
1 gram = 0.00220462 pounds
Sowy about all my questions b-b-but please help with another one?
Answer:
A
Step-by-step explanation:
count both sides divide by missing pieices
Round 159,095 to the tenths place
Answer:
159,100
Step-by-step explanation:
#dkdjdjdjdidididi )llllllllllllllll
convert 1040 weeks to months with solution
Answer:
1040 x 0.229984 = 239.18336
months = 239
yE2 ÷(3Z)= _______
if y=12, and Z=8
Answer:
45
Step-by-step explanation:
Can you please answer this question?
R = E / I solve for I
I = E/R
Step-by-step explanation:
r = E/I
IF the bottom number of a fraction is multiplied the it's whole number version, the bottom of the fraction is gone and the letter moves to the other side
I*r = E/I * I
IR = E
divide both sides by R to get I by itself
IR/R = E/R
I = E/R
solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)
x + 7y = 10.......(I)
3x - 2y = 7.......(ii)
5x + y = 10.......(I)
7x - 3y = 14......(ii)
Answer:
just rearrange the equation. I did the first one. Do the same for the rest.
2x - 3y = 9
-3y = -2x + 9
y = -2/-3x + 9/-3
y = 2/3x - 3
Step-by-step explanation:
Can somebody help me as soon as possible !!
Answer:
C
Step-by-step explanation:
Hope it helps
Find a point E on CD such that the ratio of CE to CD is [tex]\frac{3}{8}[/tex].
Answer:
Sorry if it’s wrong. But I think the answer is: -3
Step-by-step explanation:
Formula:
E= x1 + a/b (x2 -x1)
E=-9 + 3/8(7+9)
E= -9 + 3/8(16)
E= -9 + 6
E= -3
The location of point E will be at negative 3. Then the correct option is C.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The information is given below.
CE / CD = 3 / 8
CE / ED = 3 / 5 = m / n
Then the location of the point E will be
x = [3 × (7) + 5 × (-9)] / (3 + 5)
x = (21 - 45) / 8
x = - 24 / 8
x = -3
Thus, the location of point E will be at negative 3. Then the correct option is C.
More about the section of the line link is given below.
https://brainly.com/question/6582647
Sarina rounded a number to the nearest whole number and got 7.
which number could be the number Sarina rounded to the nearest whole number?
Check all solutions to the equation. If there are no solutions, check "None."
1x1 = 3
Someone please help!!
Answer:
B and E
Step-by-step explanation:
Plsssss help meeeee
The question and options are in the photo
Answer:
X = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5 + 2x = 3
2x = 3 + 5
2x = 8
x = 8 / 2
x = 4
answer is A. x = 4
Step-by-step explanation:
brainliest plz
Multiply. Enter the product in simplest form.
7
9
×
4
7
=
There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?
Weiming, Farhan and Sam had some comic books.
Weiming and Farhan had 36 comic books altogether.
Weiming had 3 times as many comic books as Farhan.
Sam and Farhan had 60 comic books in total.
(a) How many comic books did Farhan have?
(b) How many comic books did Sam have?
Answer:
Farhan had 9 comic books
Sam had 51 comic books and lived in his Mother's basement
Step-by-step explanation:
W + F = 36
W = 3F
3F + F = 36
F = 9
W = 27
S + F = 60
S + 9 = 60
S = 51
if a=2,b=1 and c=1 than evalute ab+bc
Answer:
3
Step-by-step explanation:
2x1+1x1
Answer:3
Step-by-step explanation:
(2)(1)+(1)(1)
2+1
=3
the sum of 3 fifteens and 4 twos
Answer:
52
Step-by-step explanation:
15 x 3 = 45
2 x 4 = 8
45 + 8 =52
Answer:
The answer is 53
Step-by-step explanation:
Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53