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)
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
Can someone help? Pls
9514 1404 393
Answer:
[tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 1/2 and (h, k) = (-2, 0), the equation is ...
y - 0 = 1/2(x -(-2))
a town spends 43% of its annual budget on education. if the town's budget is one million dollars, how much will be spent on education?
Answer:
my dad left me
Step-by-step explanation:
my dad left me
Answer:
$430,000
Step-by-step explanation:
1,000,000 * 0.43
All rectangles are _____.
parallelograms
rhombuses
squares
quadrilaterals
All rectangles are parallelograms
What is the slope of the line that passes through the points (4, 7) and (5,8)?
Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
Use the coordinates of the points to determine the slope
slope = Δy/Δx = (8-7)/(5-4) = 1
Two teachers purchase supplies for their classrooms.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Each journal costs the same, and each pencil costs the same.
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
[tex]18x+40y=95.42[/tex]
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
[tex]11x+16y=53.33[/tex]
Now solving these equations to find the value of x
[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]
Multiply eq(1) with 2 and eq(2) with 5
[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
Math Word Problem Please Help
A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?
Answer: They sold 173 adult tickets and 43 student tickets.
Step-by-step explanation:
Equations:
10.25x + 8y = 2117.25x + y = 216X = adult tickets.Y = student tickets.Solving:
10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)10.25x + 1728 - 8x = 2117.25 (distribute)2.25x = 389.25 (combine like terms)x = 173173 + y = 216 (solve for y)y = 43The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
Units of time belong in the numerator or denomintor
Answer:
denominator i think.
Step-by-step explanation:
I need to get the answer but I’m struggling to understand how to get the gradient
Answer:
-5
Step-by-step explanation:
gradient or slope of line: m = (y'-y)/(x'-x)
line pass (-2,5) (-1,0) (0,-5)
use any of two points: m = (0-5) / (-1 - -2) = -5/1 = -5
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2/7
4/10
160
Answer:
[tex] \red{ \bold{ m = 4 \sqrt{10}}} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex]m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ [/tex]
Other than itself, which angle is congruent to
(PLEASE HELP ILL REWARD)
Answer:
The answer is <GBH
Step-by-step explanation:
ITS because its relation is vertically opposite angle
Mariam is going to see a movie and is taking her 3 kids. Each movie ticket costs $12
and there are an assortment of snacks available to purchase for $3 each. How much
total money would Mariam have to pay for her family if she were to buy 6 snacks for
everybody to share? How much would Mariam have to pay if she bought x snacks for
everybody to share?
Answer:
a) $66
b) $48 + $3x
Step-by-step explanation:
4(12)=48
3(6)=18
48+18=66
---------------
4(12)=48
Each snack is $3, so is the bought x snacks, it would be $3x
She would pay $48 on movie tickets and $18 on snacks which would be a grand total of $66. If she bought x amount of snacks the equation would be 3x+48
Step-by-step explanation:
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
50 POINTS PLEASE HELP!!!.
Answer:
Use y=mx+b
Step-by-step explanation:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
To solve the problem, you use the equation y=mx+b
Answer:
[tex]f(x) = - \frac{5}{2} x + 4[/tex]
I need help with finding slopes from two points thank you
Answer:
i do believe the answer is 6/7
How do I solve a hanger diagram?
Answer:
con un lapizStep-by-step explanation:
por que con un lapiz escribesA 1 : 6
B 1 : 3
C 2:1
D 3:1
Answer:
B)1:3
plz mark as brainliest
24 apples and 36 oranges in a basket. What percentage of the fruit is oranges
Answer:
24 %
Step-by-step explanation:
thats easy
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
I need help yo!! I probably know who’s gonna answer l m a o
Answer:
1
Step-by-step explanation:
12 divided by 4 = 3
3 divided by 3 = 1
1/4
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
Write an equation for the line that passes through (−10,3) and whose slope is undefined. Give an answer in standard form.
Answer:
y=-10x+3
Step-by-step explanation:
The slope is -10
given the function f(x)=5x-3/4,which of the following is correct?
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
please answer asap!!!!!
Answer:
Angle E, Angle G, Angle F
Step-by-step explanation:
There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F
Answer:
m<E < m<G < m<F
Step-by-step explanation:
it is a 30,60,90 Triangle E = 30, G = 60 and F = 90
You are planning to make monthly deposits of $400 into a retirement account that pays 10 percent interest compounded monthly. if your first deposit will be made one month from now, how large will your retirement account be in 40 years?
Answer:
Using the future value (FV) formula,
R = .10/12
N = 12*30
P = 400
Your future value would be $904,195.17
Step-by-step explanation:
Estimate the quotient 19 4/5 • 4 5/8
Answer:
-0.1692
Step-by-step explanation:
use your cakculator
Jill orders t-shirts on Amazon. Each shirt costs $15.00 including tax. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Jill's order is $78.25. How many t-shirts did Jill order
Answer:
5 shirts
Step-by-step explanation:
78.25- 3.25 = 75
75/ 15 = 5
Help plz:)))I’ll mark u Brainliest
A) Yes, by SSS
B) Yes, by SAS
C) Yes, by ASA
D) Yes, by AAS
F) Yes, by HL
G) There is not enough information to say they are congruent.
Answer:
B) Yes, by SAS
Step-by-step explanation:
AB=FG(given)
AC=EG(given)
ABC=EFG (given
Answer:
Yes. By SAS.
Step-by-step explanation:
both share ll l and than an angle.
so side angle side is only possibility
brainliest appreciated!
Question 2
What is the quotient of 3/4 divided by 5/4
Answer:
3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
Evaluate the expression:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]
The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]
Simplifying:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]
Answer: [tex]\frac{3}{5}[/tex]