These relations all follow from the identity,
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get
sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)
We know sin(180°) = 0 and cos(180°) = -1, so we end up with
sin(160°) = sin(20°)
For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.
Answer:
Step-by-step explanation:
sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20
sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)
Need help with this math question!
Answer: "YOUR ON PROBLEM ONE !"
Step-by-step explanation:
WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :
Step-by-step explanation:
Take John's sister's age as "x"
So, so twice his sister's age means = 2x
And 5 years more, means = 2x + 5
So finally John's age = 2x + 5
Answer:
y=2x+5
Step-by-step explanation:
WILL GIVE BRAINLIST PLEASE HURRY
Answer:
The smallest angle is the angle shown by 3x - 17 which ends up being 49°.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.
75 + (2x + 12) + (3x - 17) = 180
~Combine like terms
70 + 5x = 180
~Subtract 70 to both sides
5x = 110
~Divide 5 to both sides
x = 22
Using what we found for x, solve for the missing angles.
2x + 12
2(22) + 12
44 + 12
66
3x - 17
3(22) - 17
66 - 17
49
Best of Luck!
Tim had $150.00 to spend on three pairs of pants. After buying them, he had $30.00 left over. What equation expresses how much each pair of pants cost?
Answer:40$
Step-by-step explanation: if all the prices are equal we 150-30equels 120 ➗ 3 equals 40 hope this helps
PLES REASON IT I NEED IT QUICKLY
Customers return 14% of their gifts during the holiday season. How many gifts were returned during the holiday season if 500 gifts were purchased?
Answer:
70 gifts were returned
Step-by-step explanation:
14%* 500
0.14*500= 70
someone help. find the value of a and b
whoever solves this with explanation gets brainliest
dont scam
What is F.O.I.L??? (Math question)
Answer:
F.O.I.L is a method of solving quadratic equations.
P.S, i love the pics.
Plz mark brainliest!!
Write the equation of the line that passes through the point (-3, 5) and has a slope of
7.
Answer:
m=7
X1= -3
Y1=5
Y-Y1=m(X-X1)
Y-5=7(X-(-3))
Y-5=7(X+3)
Y-5=7X+21
Y=7X+21+5
Y=7X+26
Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.
Answer:
The anser is 9
Step-by-step explanation:
Hello will you help me with this?
Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
if you dont mind, i just need to know what is the final answer in standard form of the equation. please!
Answer:
I'm pretty sure it's (x-1)*(5x+8)*(3x^4-2x^2+4x-8)
Step-by-step explanation:
What is 14 x 14 x 14 is exponet form
Answer:
14^3
Step-by-step explanation:
You make 9 quarts of tomato sauce from 6 baskets of tomatoes.
What is the ratio of quarts to baskets in simplest form?
Answer:
3/2
Step-by-step explanation:
The ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, You make 9 quarts of tomato sauce from 6 baskets of tomatoes.
We need to find the ratio, between quarts of tomatoes and number of the baskets.
There are 9 quarts of tomato for 6 baskets,
Therefore, the required ratio will be = quarts of tomato : number of the baskets.
= 9 : 6
= 3 : 2
Hence, the ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.
Learn more about ratios, click;
https://brainly.com/question/13419413
#SPJ2
If the price tag on a trumpet says $104, how much did the store pay for it?
Answer:
I think 1.04
Step-by-step explanation:
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $6.75. How much
would Marco spend on 2 bags of cat food?
Answer:
6.75/3=2.25
2.25 per bag
2.25x2=4.5
Step-by-step explanation:
$4.50 for 2 bags
what is the solution for this
Answer:
(-2,4)
Step-by-step explanation:
Since this is a system of equations, just look where the two lines intersect.
In this case, the intersecting pair is: (-2, 4)
Write a short free verse poem describing the panda bear in the image.
Answer:
Its another day at the zoo
As people take photos of me
No wonder their crazy
I am just eating
My delicious great bamboo!
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
1 and 2 are rectagles and 3 is not
Step-by-step explanation:
The cost to manufacture x chairs can be represented by the function
C(x) = 36x. Circle the pair of numbers (one in each box) that correctly
completes the statement about the function.
If C(63) = 2268, then (0, 6, 63, 378) chairs cost $(6, 189, 378, 2,268)
Answer:
It means that it requires 2268 to manufacture 63 chairs, (because it costs 36 to manufacture one chair).
Step-by-step explanation:
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
Solve.
-2 1/3 - (-5)
Answer:
2.66666666667
Step-by-step explanation:
Answer: fraction: 8/3
Step-by-step explanation: mixed number: 2 2/3
please hellp find x y and z
Answer:
angle x = 98
angle y = 82
angle z = 82
Step-by-step explanation:
angle y + 98 = 180; therefore, angle y = 82 degrees
angles z and y are alternate interior angles and are congruent (equal)
angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)
An electrician charges an $80 flat fee, plus $60 per hour to work on a house.
a. Complete the table that shows the cost of hiring the electrician for 3 hours.
Answer:
260
Step-by-step explanation:
60 X 3 = 180
180+80 = 260
What is the difference betwwen perimeter and circumference?
Answer:
perimeter is the length of the outline of a shape.
he circumference is the perimeter of a circle or ellipse.
Step-by-step explanation:
Brainliest to right answer!
Answer:
2/3.
Step-by-step explanation:
Sana makatulong
Find the average of -1/8,3/4,3/4,-1/2
Answer:
7/32Step-by-step explanation:
Sum is:
-1/8 + 3/4 + 3/4 - 1/2 =-1/8 + 6/4 - 1/2 =-1/8 + 12/8 - 4/8 =(-1 + 12 - 4)/8 = 7/8Number is 4
Average is:
sum/number =7/8 : 4 =7/32Find the angle represented by x. (rounded to the nearest tenth of a degree)
Classify the triangles as acute obtuse or right
Answer:
Acute
Obtuse
Right
Acute
Step-by-step explanation:
To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:
Let a and b be the shorter sides, c be the longest side.
If a^2+b^2 > c^2, then the triangle is acute.
If a^2+b^2 = c^2, then the triangle is right.
If a^2+b^2 < c^2, then the triangle is obtuse.
What is the length of line segment PQ shown below?
A rectangular book measures 3 x 5. What is the length of its
diagonal?
