Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)
Answers
Answer:
A. q2 = r2 + s2 – 2rscos(Q)
D. r2 = q2 + s2 – 2qscos(R)
E. s2 = q2 + r2 – 2qrcos(S)
Step-by-step explanation:
The following relation represent the law of cosines.
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Law of cosines:The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.
A diagram is attached below,
From cosines law,
[tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]
Above relation represent law of cosines.
Learn more about the Law of cosines here:
https://brainly.com/question/4372174
Related Questions
Solve number 8 (geometry)
Answers
Answer:
x = 50
Step-by-step explanation:
the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)
so that means
[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if correct
Answers
Answer:
it is the mean mode and range
Step-by-step explanation:
it is a pair of numbers
Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
Answers
Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
2y + 4x = 16
Anyone know how to solve for Y?
Answers
Answer:
y = -2x + 8
Step-by-step explanation:
In this question, you have to solve for "y".
Solve:
2y + 4x = 16
Get "y" by itself by subtracting 4x from both sides.
2y = -4x + 16
Simplify by dividing both sides by 2.
y = -2x + 8
Answer:
this i what i got..........
What is the value of f(3) f ( 3 ) for the function f(x)=4x−1
Answers
Answer:
1
Step-by-step explanation:
f(x)=4x-1
3(x)=4x-1
3x=4x-1
3x-4x=-1
-1x=-1
x=1
Calculate the value of the expression 18/-3
Select one:
A. 6
B. -6
C. -4
D. 0.167
E. -0.167
Answers
Answer:
-6
Step-by-step explanation:
Any number that is divided by a negative number is a negative number as an answer which is -6.
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answers
Answer:
39
Step-by-step explanation:
x+3x+24=180
4x=156
x=39=A
3x=117=B
ABC and ACD are triangles.
a) Show that AC = 11.4 cm, correct to 3 significant figures.
А
17 cm
76°
429
D
13 cm
83
B В-
с
b) Calculate BC.
Answers
Answer:
a) 11.4
Step-by-step explanation:
cos42=0.74
d²=c²+a²-2caCosD
d²=17²+13²-2×17×13×Cos42
d²=17²+13²-328.47
d²=289+169-328.47
d²=458-328.37
d=√129.63
d=11.4
The length of AC is 11.4 cm and the length of BC is 30.9 cm after solving through trigonometric ratios.
What are trigonometric ratios?Trigonometric ratios deal with the sides and angles in a right angled triangle. sin, cos, tangent ,cosecant ,secant and cotangent are trigonometric ratios.
How to find the length of side of triangle?ABC and ACD are triangle,
The value of AC will be:
According to cosine formula:
[tex]AC^{2} =AD^{2} +AC^{2} -2AD*AC*Cos D.[/tex]
[tex]AC^{2} =17^{2} +13^{2} -2*17*13* cos 42[/tex]
[tex]AC^{2} =[/tex]289+169-328.47
[tex]AC^{2}[/tex]=129.52
AC=11.4 cm
The value of BC will be as under:
using the sine rule
BC/sin A=CA/sin B=AB/sinC
BC/sin76=11.4/sin 21=AB/sin83
from the first 2 in equal to form
BC/sin 76=11.4/sin 21
BC=30.9
Hence the length of AC=11.4 cm and BC=30.9 cm.
Learn more about trigonometry at https://brainly.com/question/24349828
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Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Answers
What property is used to show that 6(x + 7) = 6x + 42?
Commutative property
Identity property
Distributive property
Associative property
Answers
Answer: Distributive because 6 has to be multiplied by x and 7
plzzzzzzzzzzzz help meeeeeeeee
#7thgrademath
Answers
Answer:
all of them are 180 :)
Step-by-step explanation:
BRAINLIEST
please help and leave a small explanation:)
Answers
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
Please quickly answers thus
Answers
Answer:
i believe it's c. im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.
Answers
Answer:
w is 4.8 meters
Step-by-step explanation:
-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.
- a rectangle has 2 sets of equal sides.
-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.
-now 15.8 - 6.2 = 9.6 meters
- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.
the width, w, is 4.8 meters.
2W + 2W + 6.2 = 15.8
4W + 6.2 = 15.8
4W = 9.6
W = 2.4
Perimeter
2.4 + 2.4 + (2.4 + 3.1) + (2.4 + 3.1) = 15.8
Solving a word problem on proportions using a unit rate
Kala drove 315 miles in 5 hours.
At the same rate, how long would it take her to drive 693 miles?
Answers
Answer: It would take Kala 11 hours to drive 693 miles
Step-by-step explanation:
315/5=63 miles an hour
693/63=11 hours
It would take Kala 11 hours to drive 693 miles
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.
Answers
========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?
Answers
Answer: 39210
Step-by-step explanation:
Dana works at a flower shop. One day she received a delivery of flowers and 30% of the flowers were roses. There were 240 roses. What percent of the flowers were not roses?
Answers
Answer:
800
Step-by-step explanation:
I started off with putting 240 over x and 30 over 100. Next I multiplied 240 with 100 and got 24000. Then I divided that with 30 and got 800 as my answer.
Hope this helps :)
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answers
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
What’s the answer to this question
Answers
Answer: 5
Step-by-step explanation:
x + 8 = 13
Subtract 8 from both sides of the inequality.
x = 13 − 8
Subtract 8 from 13.
x = 5
pls give me brainiest :)
the answer is : 7
7 + 8 =15
15 > 13
Are the lines parallel?
Answers
parallel lines must have nothing intersecting
hope this helps
brainliest plz
Identify the property that justifies the following statement
1. Distributive Property of Congruence
2. Symmetric Property of Congruence
3. Reflexive Property of Congruence
4. Transitive Property of Congruence
Answers
Answer:
Transitive property of congruence
Step-by-step explanation:
Find the slope of the line (1,6) and (-3,0)
Answers
Answer:
slope= 3/2
Step-by-step explanation:
y2-y1/x2-x1=slope
0-6/-3-1= -6/-4 or 3/2
Answer:
(1, 6) is 1 quadrant and (-3, 0) is 2nd quadrant
A triangle with a base of 10 and side lengths of 13 is similar to what other kind of triangle
A. base of 100 and side lengths of 100
B. base of 20 and side lengths of 27.5
C. base of 25 and side lengths of 32.5
D. base of 5 and side lengths of 13
Answers
Answer:
Step-by-step explanation:
the only correct choice is C
= multiplied each side by 2.5
There are 3 ants in the soccer field each day the number of ants are multiplied by 10 This function represents
Answers
Answer:
3 x 10d = a
d=days
a=ants
Step-by-step explanation:
4x< 20; x = 20
can you show me the work?
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4x<20 Equation/Question
Step 2
4x<20 Simplify
4x<20
Step 3
4x<20 Divide by 4
answer
x<5
what is the equilvant expression 2^-2
Answers
Answertrkbjvncdmxs
nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj
Step-by-step explanation:
5) What is the product of prime numbers immediately before and after 50?
Answers
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
Need your help, if you could help thanks! <3
Answers
Answer: 48 scoops
Step-by-step explanation: It’ll take 4 scoops per liter.
So, for 12 liters use the equation 4 x 12 = 48
Answer: B. 48
Step-by-step explanation: 4 scoops of 1/4 of a liter is equivalent to 1 full liter. Since we need 12 liters, we multiply 12*4 to give us the amount of scoops needed.
The radius of a circle is 13.9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answers
Answer:
87.3
Step-by-step explanation:
C=2piR
2×3.14×13.9=87.33