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)
joseph is planting a garden. he plants 2 tomato plants for every 5 peppers. If joseph plants 14 tomato plants how many pepper plants does he plant?
Answer:
Ratio of tomato plant to that of pepper plant = 2:5
Let x be the number of pepper plants for 14 tomato plants.
Now, according to the question,
2:5 = 14:x
14×5 = 2x
x = 70/2 = 35 plants.
Step-by-step explanation:
So he/she would have 35 pepper plants to plant
4. A man bought a clock for $6 000 and sold it to make a profit of 15%. What was his
selling price?
Answer:
Step-by-step explanation:
he sold it for 900 dollars
hope it helps
Answer:
900
Step-by-step explanation:
If he got 15% of the profit so you would have to divide 15 divided by 2000 and your answer would be 900
A jar contains 25 coins of only dimes and quarters. The value of the jar is $4.45. Write the equation that represent the money value in the jar. Let d = dimes and q = quarters. Do not put any spaces in your answer.
Answer:
12
Step-by-step explanation:
Consider the system
y= 4x-3
y= x+3
because she may be.sto probably ok so yeah
Is this "N2 + 3H2 → 2NH3" balanced or no?
select the correct solution for 6x = 30
(A) x = 24
(B) x = 1/5
(C) x = 5
(D) x = 36
Answer:
answer is (C) x = 5
I hope it helps you
:-))
what can go in the missing boxes?
Answer:
20 boys can eat 64 slices of pizza.
Step-by-step explanation:
Boys Pizza
5 16
10 32
15 48
20 64
How many solutions exist for the system of equations graphed below?
If you travel at 20km/h, how long does it
take to go 40km?
Answer:
2 hr
Step-by-step explanation:
Answer:
2 hrs
Step-by-step explanation:
If you travel 20 km in 1 hour, then whats 20 x 2? 40.
Square ABCD has diagonals AC¯¯¯¯¯
and BD¯¯¯¯¯
. What is m∠ABD
A
180º
B
90º
C
45º
D
360º
Answer:
option (c)
Step-by-step explanation:
Given,
ABCD is a square.
AC and BD are diagonals
We know that,
Sides of the square make 90 degrees with each other.
And Diagonals bisect the opposite angles of the square.
Now,
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABC = 90^\circ[/tex]
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]
[tex]\angle ABD = 45^\circ[/tex]
Hence, option (c) is correct.
Select all expressions equivalent to
6x - 24
• 6(x - 4)
• 2(3x - 24)
• 3(2x - 8)
• 3(3x - 21)
Answer:
6(x-4) and 3(2x-8)
tell me if i did it right
The field of study concerned with numbers, quantity, shapes and the relationships among them describes which of the following terms?
A.Division
B.Mathematics
C.Cooking
D.Measuring
Answer:
B: Mathematics
Step-by-step explanation:
How do you write the fraction 5/8 as a decimal ?
Answer:
0.625
Step-by-step explanation:
Answer:
0.625
Step-by-step explanation:
PLEASE HELP
Complete the square x² + 16.0
Answer:
x^2 + 16x + 32
Step-by-step explanation:
I am going to guess this is from factoring.
In which you need to x's multiplied together to get x^2. So you have:
(x+?) (x+?)
to get 16x you need two 8x's in your factoring square. so it would be
(x+8) (x+8)
Now you found out what you were mulitpling together, then you solve. The final part is multiplying 8 by 8, which is 32.
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
d. The opposite of - 10t and t - 10t
Answer:
The sum is [tex]t[/tex].
Step-by-step explanation:
Consider the provided information.
The given expression are - 10t and t - 10t
We need to find the sum of the opposite of -10 t and t - 10t.
The opposite of -10 t is 10 t.
[tex]10t+(t-10t)[/tex]
Remove the parenthesis.
[tex]10t+t-10t[/tex]
Simplify the number
[tex]10t-10t+t[/tex]
Use Additive inverse.
[tex]t[/tex]
Hence, the sum is [tex]t[/tex].
What is the ratio of the length of one leg to the length of the other leg?
9514 1404 393
Answer:
D. 1 : 1
Step-by-step explanation:
The ratio of the two legs in any isosceles triangle is 1 : 1. That is also true of this isosceles right triangle. (You can tell it is isosceles because the acute angles are identical in size.)
Part A :
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*
Part B :
Find the slope of the line from the graph above. *Don't forget to simplify!*
pleaseeeeeee help me this is a test for geometry, please read carefully before answering.
Answer:
1. A
2. A
3. C
4. C
5. A
Step-by-step explanation:
Which is an example of a statistical question?
Questions
Question 1 What percent did Matti score on his English test?
Question 2 What letter grade did each person score on their English test?
Question 3 Who scored the best on their English test?
Question 4 Who scored the worst on their English test?
question 1
question 2
question 3
question 4
Answer: it’s 2!
Step-by-step explanation:
i got it right on edge 2021! good luck!
Answer:
the answer is 2
Step-by-step explanation:
Select the correct answer.
What is V192 in simplest form?
OA. 32/3
OB. 3V
Ос.
OD
2748
Answer:
should be C 8v3
Step-by-step explanation:
hope this helps you
Answer:
8V3
Step-by-step explanation:
the difference between 4 times more than 40 and 20
I NEED HELP RIGHT NOW!!! please help me! i don understand this! :(
rewrite the algebric expression using disstributive property
5(2x+7)
A movie theater has n rows and m seats in each row. If each ticket costs $5.60, how much do all tickets to one movie cost?
HELP PLEASEEE!! URGENT
Answer:
try socratic
Step-by-step explanation:
u need a phone for it to take the pics. are u can copy it and paste it to socratic on the computer. its an app
What is the lcm of 6/8 and 4/32?
Answer:
Step-by-step explanation:
The LCM is 416. What is the least common multiple of 4 6 and 8? 4, 6 and 8 are small numbers and their LCM can be found out by writing their multiples:4: 4, 8, 12, 16, 20, 24, 28, 32,...6: 6, 12,...
A 12-foot ladder is placed 4 feet away from a house as shown.
A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.
What is the value of x, rounded to the nearest degree?
x ≈
°
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.
Is this ladder being used safely?
Answer:
Answer: x = 71 degrees. Yes, the ladder meets safety standards
Discussion:
The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x". For this triangle,
cosx = (side adjacent to angle) / hypotenuse
= 4 / 12
= 1/3
To find "x" take the inverse cosine of each side to find that :
x is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.
Step-by-step explanation:
HOPE THIS HELPED!
-
Answer: x = 71
yes
Step-by-step explanation:
Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ
Answer:
Through pythogoras theorem
a^2+b^2=c^2
20^2+16^2=c^2
c^2=400+256
c^2= 656
c= square root of 656
c=25.6 inches or 30 inches
Missing side 25.6 inches or 30 inches
c^2 = a^2 + b^2
c^2 = 16^2 + 20^2
c^2 = 256 + 400
c^2 = 656
Now, square root both sides to find the missing length of c or the hypontenuse.
Answer: c = 25.6 inchesPLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!
Please please please help!!!!!
Answer:
12 sheets
Step-by-step explanation:
Answer:
12 sheets
Step-by-step explanation: