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)
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
hey, can somebody help me please and thank you. :)
X – y=11
3x + 10y= -6
Answer:
(8, - 3 )
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
3x + 10y = - 6 → (2)
Multiplying (1) by 10 and adding to (2) will eliminate the y- term
10x - 10y = 110 → (3)
Add (2) and (3) term by term to eliminate y
13x + 0 = 104
13x = 104 ( divide both sides by 13 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
3(8) + 10y = - 6
24 + 10y = - 6 ( subtract 24 from both sides )
10y = - 30 ( divide both sides by 10 )
y = - 3
solution is (8, - 3 )
can i have some help please( BRAINLLEST)
Answer:
2
-3
same thing
Step-by-step explanation:
If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)
is it possible to draw a triangle with numbers 5,6,11
Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].
11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].
We now calculate to see if this is true.
25 + 36 [tex]\neq[/tex] 121
Therefore, the answer is wrong.
Jakob used the table shown to find a ratio which is equivalent to 5:9.
a multiplication table here
Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36
Answer:
20:36
Step-by-step explanation:
5 x 4 = 20
9 x 4 = 36
Final answer: 20:36
HELP HELP HELP!!!!! Please help!
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
#1: 0.23
#2: 0.15
Step-by-step explanation:
1.38/ 6= 0.23
6*0.23= 1.38
7.80/ 52= 0.15
0.15*52= 7.80
Someone please answer this for me ASAP
HELP ME PLEASE
Use the table to answer the question.
Avocados Price
$1.15
$2.30
$5.75
$11.50
1
2
5
10
How much will 3 avocados cost?
O $1.15
O $3.45
O $4.45
O $4.60
one Avocado costs 1.15 you need 3
1.15×3=3.45
How long it takes for something to travel a certain distance is the definition of:
Answer: boat
Step-by-step explanation: the farthest it can go is weeks
Simplify the expression by combining like terms.
3.6x+5.9−2.2−1.7x
Enter your answer as an expression, like this: 42x+53
The cost of a mobile phone processor is directly proportional to its speed.
A 2GHz mobile costs £500.
Let x be the speed of a processor in GHz
Let y be the cost in pounds.
Find a formula linking the variables.
Answer: See explanation
Step-by-step explanation:
We are going to use the formula used in calculating direct proportion which is equal to:
y = kx
where,
x = speed of a processor in GHz
y = the cost in pounds
Therefore, y = kx
500 = 2k
Therefore, y = 2k
Write x^2-8x+22 in the form (x-a)^2 +b
Answer:
[tex] {(x - 4)}^{2} + 6[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]
The completed square form of x² - 8x + 22 = 0 is (x - 4)² = - 6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, a quadratic equation x² - 8x + 22 = 0.
We know (a - b)² = a² - 2ab + b².
∴ x² - 8x + 22 = 0 is
(x)² -2(x)(4) + 4² + 6 = 0.
(x - 4)² = - 6.
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Which two numbers have a mean of 10 and a range of 4?
NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING
the answer would be 12 and 8
NEED DONE BY 8 PLEASE HELP!!
Answer:
a. 8 y/s; divide 40(distance) by 5(time)
b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on
c. 80 yards; multiply time and distance 8×10
PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?
10 HOURS
40 HOURS
50 HOURS
90 HOURS
Answer:
40 hours
Step-by-step explanation:
first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours
A car travels 72 miles on 6 gallons of gas. At that rate, how much gas will it need to travel 204 miles?
Answer:
17 gallons
Step-by-step explanation:
First find how many miles it can travel with 1 gallon which would be 72÷6 = 12 So 1 gallon can takes it to 12 miles
Do 204÷ 12 = 17
Answer:
17 galloons
Step-by-step explanation:
72 Miles= 6 galloons
144 miles = 12 galloons
204 miles = 17 galloons
in every 12 miles is equivalent to 1 galloon of gas so basically when you divide 204 into 12 you will get 17. you need 17 galloons of gas
How many cups are in 16 quarts? 1 quart = 4 cups
Answer:
64
Step-by-step explanation:
4 cups * 16 quarts = 64 cups
combine these like terms 4 girls + 2 girls - 3 boys
Answer:
6 girls - 3 boys
Step-by-step explanation:
Answer:
6girls - 3 boys
Step-by-step explanation:
4 girls + 2 girls =6 girls
you cant mix girls and boys so you still have 3 boys
A marketing company is hiring two college students to hand out brochures near an event. Marshall hands out 300
brochures in 2 hours. Silas hands out 240 brochures in 90 minutes. Who handed out more brochures per minute?
Neither. They handed out brochures at the same rate.
Marshall
Silas
Answer:
silas
Step-by-step explanation:
Solve the fraction problem and reduce the answer to simplest form:
1/5 + 3/4 = ??
7/9 - 3/5= ??
6/8 - 2/7 = ??
5/6 + 5/10 = ??
7/8 - 2/3 = ??
8/10 + 5/6 = ??
9/11 - 2/3 = ??
Answer:
1. 19/20
2. 8/45
3. 13/28
4. 4/3
5. 5/24
6. 49/30
7. 5/33
Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]
where x = numerator and y = denominator.
a) 1/5 + 3/4
We find the Lowest common denominator (5, 4) = 20
Hence: 4 + (5 x 3) / 20
= 4 + 15 / 20
= 19/20
b) 7/9 - 3/5
We find the Lowest common denominator (5, 9) = 45
Hence: (7 x 5) + (9 x 3) / 45
= 35 - 27 / 45
= 8/45
c) 6/8 - 2/7
We find the Lowest common denominator (7, 8) = 56
Hence: (6 x 7) - (2 x 8) / 56
= 42 - 16 /56
= 26/56
= 13/28
d) 5/6 + 5/10
We find the Lowest common denominator (6, 10) = 30
Hence: (5 x 5) + (5 x 3) / 30
= 25 + 15 / 30
= 40/30
= 4/3
= 1 1/3
e) 7/8 - 2/3
We find the Lowest common denominator (3, 8) = 24
Hence: (7 x 3) - (2 x 8) / 24
= 21 - 16 / 24
= 5/24
f) 8/10 + 5/6
We find the Lowest common denominator (6, 10) = 30
Hence: (8 x 3) + (5 x 5)
= 24 + 25 / 30
= 49/30
= 1 19/30
g) 9/11 - 2/3
We find the Lowest common denominator (3, 11) = 33
Hence: (9 x 3) - (11 x 2) / 33
= 27 - 22 / 33
= 5/33
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A copy machine makes 36 copies per minute. How long does it take to make 126 copies?
Answer:
It will take 3.5 minutes to make 126 copies
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.
Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.
Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00
Utilities
$269.34
Entertainment
$220.00
Food/Clothes
$368.00
Cell Phone
$89.42
Credit Card #1
$94.62
Credit Card #2
$36.18
Car Insurance
$80.00
Car Payment
$300.00
Gym Membership
$25.00
Net Income
$317.44
After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.
Answer:
c. Manny could spend less on food and clothes and put the money towards his credit card payment.
Step-by-step explanation:
Edge 2021
Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.
What is a credit card?A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.
How to calculate monthly payment.Mathematically, the monthly payment for a credit card is given by this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.
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Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
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Please please help! Will mark brainliest!
Answer:
-
Step-by-step explanation:
On Saturday, Jay went on a trail run. The posted mileage for the trail was 3.8 miles. On Sunday, he ran his usual route
of 4 3/4 miles. How many total miles did Jay run over the weekend?
A 7.5 miles
B 7 3/4 miles
C 8.3 miles
D 8 11/20 miles
The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.
Answer:
246.50
Step-by-step explanation:
maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood
help ;-;...
Answer: 26
Step-by-step explanation:
62-36=26
Answer: 26
You simply have to subtract 36 from 62
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27
