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AOBC is a parallelogram ,
Thus :
[tex]OA = BC = a[/tex]
And ;
[tex]AC = OB = b [/tex]
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M is the midpoint of AC ,
So :
[tex]AM = MC = \frac{b}{2} \\ [/tex]
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According to case of Cosine in ∆ OAM :
[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]
So :
[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]
[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]
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According to the case of Sine in ∆ OAM :
[tex] \frac{OM}{ sin(A) } = \frac{
AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]
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Related Questions
A ream of paper contains 500 sheets, and a case of paper contains 10 reams. An office supply store gets a delivery of 400 cases. How many sheets of paper are in the delivery? Express your answer in scientific notation.
Answers
Answer:
2,000,000 or 2x10^6
Step-by-step explanation: Multiply the total number of sheets in a ream times the total number of reams in a case times the number of cases.
Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answers
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
Equation parallel y= -3 also passes through the point (2,5)
Answers
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
Answers
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
Find the values of x and y.
X= __
Y= __
Answers
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?
Answers
Answer:
# of 5 dollar bills: 9
# of 1 dollar bills: 6
Step-by-step explanation:
9•5 = 45
1•6 = 6
To Check: 45 + 6=51
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answers
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
Can someone fill in the blanks please ?? 30 points
Answers
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerPlease help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
Answers
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
Answers
In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answers
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
Learn more about triangle here: https://brainly.com/question/19606977
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answers
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answers
Answer:
B
Step-by-step explanation:
i got it right
PLEASE HELP find the sins of z
Answers
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Find the value of x that makes m ∥ n .
Answers
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Will give brainliest if correct.
Answers
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Y-intercept = (0,2)
To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)
To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)
............................... 6/2(1+2)
Answers
Answer:
9
Step-by-step explanation:
6/2(1+2)
=3*3
=9
Answer:
6
Step-by-step explanation:
6/2 is 3 and 1+2 is three and 3 + 3=6
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
Answers
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7
The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?
Answers
Answer:
26 boys and 39 girls
Step-by-step explanation:
if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answers
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answers
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
Answers
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answers
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7
Answers
Answer:
A=3√5
B=11√7
Step-by-step explanation:
5√5-2√5
5-2√5
3√5
B) 8√7+3√7
8+3√7
11√7
Find the hypothesis for side a 16 side b 20
Answers
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
Answer ASAP Brainliest and 22 Points!
Answers
Answer:
Step-by-step explanation:
1. 5x+8-7x=4x+1 2.
5x-7x+8=4x+1
2x+8=4x+1
-2x+8=4x+1
-2x+8-8=4x+1-8
-2x-8=4x-7
6x=-7
x=7/6
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answers
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answers
Answer:
12.55
Step-by-step explanation:
Subtract 20 by 7.45
The required amount bob will get in return is given as $12.55.
Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
total nill = $7.45
Total money given = $20
Change to return = 20 - 7.45 = $12.55
Thus, the required amount bob will get in return is given as $12.55.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answers
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
To know more about Polynomial click the link given below.
https://brainly.com/question/17822016