[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]
in a class of 40 students, only 20% of the students are participating in an art competition. how many students are not taking part in the competition?
======================================================
Explanation:
There are two approaches.
Method 1)
20% of 40 = 0.20*40 = 8
Since 8 students are participating, this means 40-8 = 32 are not participating.
-----------
Method 2)
20% are participating, so 100% - 20% = 80% are not participating
80% of 40 = 0.80*40 = 32
Graph the point (−1, 5/2) on the coordinate plane.
PLEASE HELP ASAP
Answer:
The answer is 2 1/2
Step-by-step explanation:
The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin and has been plotted below.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinate is the denotation of horizontal and vertical distinctions in a coordinate plane with actual distance as per a given scale factor.
The general form of coordinate (x,y) shows x distance far from the origin in the horizontal direction and y distance far from the origin in the vertical direction.
(-1,5/2) → -1 units refer to 1 unit left due to the minus sign.
5/2 = 2.5 its positive so 2.5 units up.
Hence "The graph of point (-1,5/2) will be 1 unit left and 2.5 units up from the origin".
For more about coordinates,
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Which has a greater rate of change?
pick one
Translate each of the following algebraic expressions into word phrase.
7x-7
make r the formula t=r/r-3
Answer:
R = 3t/t₋1
Step-by-step explanation: I'm not sure if its correct.
what are 43.6÷8 use compatible numbers using the quotient
Answer:
7.3
Step-by-step explanation:
A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
44.6 megabytes
Step-by-step explanation:
If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.
261= 100
? = 17.1
It means that (17.1x261)/100 = 44.631
If we round our answer it equals 44.6
Find the EXACT distance between the two points.
(9, 31) and (12, 25)
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle. its legs are the x and y coordinate differences.
and so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a, b being the legs.
so,
the x difference is 9-12 = -3
the y difference is 31-25 = 6
therefore,
distance² = (-3)² + 6² = 9 + 36 = 45
distance = sqrt(45) = 6.708203932...
HI GUYS CAN SOMEONE PLEASE HELP...
TYSM IT WUD MEAN SO MUCH
Answer:
what do you need help with??
Step-by-step explanation:
i would be happy to help : )
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
Learn more about algebraic identities here
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can some one help me on this
-233.2 - 25.8
Please help.
Answer:
-259
Step-by-step explanation:
brainliest
Answer:
-259
Step-by-step explanation:
Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.
When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.
Subtracting Negative and Positive Integers
To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive.
Example: 14 - (-6) = 14 + 6 = 20
If both signs are negative, the answer will be negative.
Example: -14 - (+6) = -14 - 6 = -20
If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.
Example: 14 - (+6) = 14 - 6 = 8
Example: -14 - (-6) = -14 + 6 = -8
System of equation
Value of b
Mathematic 19 don’t understand
Answer:
1.75 x 10^3
Step-by-step explanation:
This is quite a simple question really, we just have to remember one thing, the exponent laws. When both exponents have the same base and are getting divided by each other, you subtract the exponents.
So in this case we have 10^8 on top divided by the 10^5 on the bottom, so now you just subtract the 5 from 8 and you get 3 as your final exponent. So your power would just be 10^3.
The final step is just dividing 7 by 4 which is 1.75
Combine the power and 1.75 together to get the correct notation
1.75 x 10^3
PLEASE ITS DUE 5 MINS
Answer:
I'm sorry pls retake the pic really quickly.. I can't see the entire problem!
Then I'll add my answer if I can! Thx!
what is 56 inches in meters rounded to the nearest hundredth
Answer:
1.42 m
Step-by-step explanation:
Each inch is 0.0254 meters, so 56 of them is ...
56(0.0254 m) = 1.4224 m ≈ 1.42 m
How to solve math equation
Please help it’s a test and it is past due!!! NO LINKS please!!!!
Use the substitution method to solve the system of equation!!! Choose the correct ordered pair!?!? Use the picture below to help you!!
Answer:
The answer is C. (-2, 7)
Good luck :)
The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?
Table:
x: 0, 6, 12
y: 20, 29, 38
Answer:
29/6 = 4.83.. or 4.8
simplest form of 3/4+1/12
Answer:
5/6
Step-by-step explanation:
What is the estimated difference between 7 6/11−5 13/15 ?
Answer:
1 1/2
Step-by-step explanation:
7 6/11−5 13/15
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.
i forgot what the definition of y-axis and x-axis was
Answer:
y is the height and x is the length
Step-by-step explanation:
Remember when you're doing y and x axis y is height and x is length it works like coordinates.
2,826 rounded to the nearest tenth
Answer:
2,830
Step-by-step explanation:
Find the distance between the two points. (-2,1) (1,-2) Enter the number that goes beneath the radical symbol
Answer:
4.242641
Step-by-step explanation:
d=[tex]\sqrt{(1-(-2))^{2}+(-2-1)^{2} }[/tex]
d=[tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]
d=[tex]\sqrt{9+9}[/tex]
d=[tex]\sqrt{18}[/tex]
d=4.242641
(does it deserve a Brainliest)
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
3% freshwater
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
1%
Step-by-step explanation:
3% is wrong. I took the test and I’ve studied this :)
Pls help again what’s 2.8446 rounded to the nearest hundreth
Answer:
2.84
Step-by-step explanation:
Since 4 is below 5, you would not round 2.84 to 2.85
Ajug contains 42 liters of milk. How
many milliliters of milk does it contain?
420 mL
B
4,200 mL
42,000 mL
4.2 mL
Based on the information given the number of milliliters of milk does it contain is 42,000 mL.
1 liter=1000 ml
Using this formula
Number of milliliters=Number of liters×1,000 ml
Where:
Number of liters=42 liters
Let plug in the formula
Number of milliliters=42 liters×1,000 ml
Number of milliliters=42,000 ml
Inconclusion the number of milliliters of milk does it contain is 42,000 mL.
Learn more about milliliters here:https://brainly.com/question/1295017
Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.
Answer:
31
Step-by-step explanation:
thye blow up 36 balloons in total but 5 pop 36-5=31
Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder
Answer: helloooo
Step-by-step explanation:
Television = $200 and Video Recorder = $450
sory if im wrong this is just what I think
5 3/5 divide by 2 2/3
Answer 2 1/10
work is shown in the picture above. I hope this helps.