help me Graph x+3y=6
compare linear and nonlinear functions
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph. How long does it take each animal to run to the second jungle?
(sinA + cosA)/ (secA + cosecA) = sinA* cosA
Answer:
Proof below
Step-by-step explanation:
Trigonometric Identities
We'll prove that:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]
Recall:
[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]
[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]
Applying those definitions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]
Adding the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]
Dividing the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]
Simplifying:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]
Hence proved
The price of a computer was decreased by 20% to £420.
What was the price before the decrease?
Answer:
£525
Step-by-step explanation:
420 ÷ 0.8 = 525
The proof that UX ≅ SV is shown.
Given: △STU an equilateral triangle
∠TXU ≅ ∠TVS
Prove: UX ≅ SV
Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.
What is the missing statement in the proof?
Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Mark this and return
Answer:
D
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?
Answer:
7
Step-by-step explanation:
42/6 = 7
PLEASE HELP URGENT!!!!!!
Tom, Sam and Victor are painting the rooms in their new house. It takes Tom 4 hours to paint one room, but Sam and Victor take 3 hours each. If all of them work together, how long does it take them to paint one room?
9514 1404 393
Answer:
12/11 = 1 1/11 hours
Step-by-step explanation:
The total rate is the sum of the individual rates in rooms per hour.
Tom can paint 1/4 room per hour.
Sam and Victor can each paint 1/3 room per hour.
Their total rate is ...
1/4 +1/3 +1/3 = 11/12 . . . rooms per hour
The rate in "hours per room" is the inverse of this.
It takes them 12/11 = 1 1/11 hours to paint one room.
Which of the following is an arithmetic sequence?
A. 2, 4, 8, 16, ...
B. -8, -6, -4, -2, ...
C. -2, 4, -6, 8, ...
Answer:
B
Step-by-step explanation:
Brainliest please, thanks :)
Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan? $251.20 $1,004.80 $11,555.20 $13,564.80
Answer:
C
Step-by-step explanation:
50 students went to Verona. 23 were boys. What percentage were giris?
Answer:
54 percent
Step-by-step explanation:
23 over 50 is .54
Answer:
27%
Step-by-step explanation:
1. 50 total, 23 boys, ? girls
2. 50 - 23.
Answer: ? girls = 27 girls
help please anyone?
giving brainliestt
Answer:
School Y = 4 points
School X = 12 points
Step-by-step explanation:
school x=school y+8
school x=3 school y
x=y+8
x=3y
3y=y+8
2y=8
y=4
x=12
What is the slope of y=-5+4xy=−5+4xy, equals, minus, 5, plus, 4, x?
Answer:
-5/4
Step-by-step explanation:
The slope of a line y=4x-5 is 4.
The equation of a line is y=-5+4x.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
The standard form of equation of line is y=mx+c
m is a slope of a line and c is y-intercept
Compare the equation y=4x-5 with y=mx+c, we get m=4
Therefore, the slope of a line y=4x-5 is 4.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
iven: PA = PC and BA = BC. Use the diagram to find the length described.
Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?
pabc
AC is
cm in length.
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[tex]BA = BC = 12[/tex]
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[tex]AC = BA + BC[/tex]
[tex]AC = 12 + 12[/tex]
[tex]AC = 24[/tex]
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How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$220.88
Step-by-step explanation:
Ben is going to make 1/4 pound burgers for a barbecue next weekend. He is planning on making 19 burgers. How much hamburger meat will he need to make 19 quarter pound burgers?
Answer:
4.75 pounds of hamburger meat
Step-by-step explanation:
In order to calculate the total amount of hamburger meat that Ben would need we would need to multiply the total number of burgers that he wants to make (19) by the amount of meat each burger will use (1/4 pound or 0.25 pound). Therefore, we would do the following...
19 * 0.25 = 4.75 pounds
Finally, we can see that Ben would need a total of 4.75 pounds of hamburger meat to make 19 equal sized 1/4 pound burgers.
complete factorization for -20x - 5y
Answer:
-5 (4x+y)
Step-by-step explanation:
Factor out -5, and -20/-5=4, -5/-5=1.
The map shows the location of four places in a school.
Pat's English class is located in the same quadrant as the gym. Which of the following could be the coordinates of the English classroom?
(2, 5)
(−2, 5)
(−2, −5)
(2, −5)
Plzz help
Answer:
the answer would be (-2,5)
Hope it helps!
Answer:
(-2,5)
Step-by-step explanation:
The quadrant is was by the 2 then you use that knowledge to get your answer
please help me solve this
Answer:
Option C
Step-by-step explanation:
Since it's draining, it means it must start at a certain value and end at a maximum of 0 since water cannot ever be less than 0. Since it's original amount is 40, it can only start draining from 40 and end at max 0 hence 0 ≤ y ≤ 40
Topic: inequalities
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Find the rate of change represented on the graph- please help ! first answer will get brainliest
a) 3
b) 1/3
c) -3
d) -1/3
Answer:
A
Step-by-step explanation:
because u use RISE/RUN
and the rise is 3 and the run is 1
3/1=3
Answer:
A.
Step-by-step explanation:
a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal
Answer:
Step-by-step explanation:
Given
A metal block has a mass = 60kg
volume = 0.5 meter cube
Solution
Density=masala volume
Density=60/0.5
Density of the metal=120kg/m^3
What is the equation of a line that passes through (-6, 2) and has a slope of `-(1)/(2)'?
OA.
'y = (x)/(2)-2
'y=-(x)/(2)-1
OB.
O c.
'y = 2x +11
OD.
‘y = -2x-1
Answer:
y =[tex]-\frac{1}{2}[/tex] x + 5
Step-by-step explanation:
Given parameters:
Coordinates = (-6,2)
Slope = [tex]-\frac{1}{2}[/tex]
Unknown:
Equation of the line that passes through = ?
Solution:
The equation of a line is expressed as;
y =mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
let us find c;
2 = [tex]-\frac{1}{2}[/tex] x 6 + c
2 = -3 + c
c = 5;
The equation of the line is;
y =[tex]-\frac{1}{2}[/tex] x + 5
7. In order to join a dance team, the team requires a one-time $30 startup fee to cover uniforms as well as a monthly fee of $4. What is the slope of this scenario?
Answer: the slope is 34
Step-by-step explanation:
f(x)=6(x-1)+9 then what is f(3)
Answer:
the answer is 21
PLEASE HELP ME ASAP!!
Answer:
1/4x
Step-by-step explanation:
Please choose all that apply!
Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?
Answer:
Step-by-step explanation:
We can use the markdown formula to solve this question because it is the same type of problem.
= R x P
1. = 500 x 0.04
= 20
2. 500 - 20
= 480
I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!
Key: R = Percentage Rate P = Original Price
Which linear inequality is represented by the graph?
O y > 1/3x - 4
O y < 1/3x - 4
O y < 1/3x + 4
O y > 1/3 x + 4
helppppppppppppppp plzzzzzzzzzzzzzz
Answer: 15w
Step-by-step explanation:
please help this is the only question im stuck on