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)
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.)
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.
Consider the system
y= 4x-3
y= x+3
because she may be.sto probably ok so yeah
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:
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
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
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.
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
:-))
Please please please help!!!!!
Answer:
12 sheets
Step-by-step explanation:
Answer:
12 sheets
Step-by-step explanation:
PLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!
Is this "N2 + 3H2 → 2NH3" balanced or no?
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?
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
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!*
How many solutions exist for the system of equations graphed below?
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.
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:
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:
the difference between 4 times more than 40 and 20
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,...
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
I NEED HELP RIGHT NOW!!! please help me! i don understand this! :(
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:
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 inchesHELP 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
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:
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].
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: