Differentiate both sides with respect to x, using the chain rule for the sine term:
[tex]\cos(x) + \sin(y) = 1[/tex]
[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]
What is the slope of this line?
a. -1/3
b. 1/3
c. 2/3
d. -2/3
Answer:
c. 2/3
Step-by-step explanation:
Since the line is going up to the right it is a positive slope. Therefore it can't be a or d.
The slope is 2/3 because to connect the dots you have to go up 2 and to the right 3.
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work out the surface area of this cylinder
8cm diameter
16.8cm height
Ted needs an average of at least 70 on his three day history tests. He has already scored 80 and 60 on two tests. What is the minimum grade Ted needs on his third.
Thank you for your assistance
Answer:
Step-by-step explanation:
To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.
Now, to find the average in your problem, we need to look at what we know:
He received an 85 and 60 on two of the test scores
He needs an overall average of 70
Let's set this up in equation form:
%2885+%2B+60+%2B+x%29%2F3+%3E=+70
Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:
85 + 60 + x >= 210
Next, combine the numbers on the left, which will give us:
145 + x >= 210
Finally, subtract 145 from both sides, which will give us our answer:
145 + x - 145 >= 210 - 145 =
x >= 65
So, in order to average at least 70, he must score a 65 or higher on his third test.
Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c
Answer:
-8
Step-by-step explanation:
I’ll substitute x for the blank space:
-2 = x + 6
-2 - 6 = x
x = -8
-8 + 6 = -2 ✅
May I please receive help?
Answer:
F=86°
G=75°
H=19°.........
what is the recurring decimal of 0.68
Answer:
0.68 repeating as a fraction
0.68 repeating as a fraction
Which of the following numbers are NOT rational?
A)√25
B)18.9238...
C)1.323232...
Answer:
the answer is a because it has no decimal
it is in square root
(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)
Answer:
[tex]7.15*10^{-4}[/tex]
Step-by-step explanation:
[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]
Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =
Answer:
-12
Step-by-step explanation:
Hi can u help me with this
Answer:
it's D, 27
Anything in the middle would be both so just add only the yellow and red numbers, not orange
The problem and answer choices are provided. It would be appreciated if I could get an answer as soon as possible.:D
Answer:
4
Step-by-step explanation:
2 + 2 = 4
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?
It will take twelve (12) plumbers 9 weeks to install the same number of lines
From the question,
We have that, 18 plumbers can install 540 water lines in 6 weeks,
To determine how long it will take 12 plumbers to install the same number of lines,
First, we will determine how long it will take 1 plumber.
If 18 plumbers can install 540 water lines in 6 weeks
Then,
1 plumber will install 540 water lines in 18 × 6 weeks
18 × 6 weeks = 108 weeks
∴ It will take 1 plumber 108 weeks to install 540 water lines
Now, for the number of weeks it will take 12 plumbers
If 1 plumber can install 540 water lines in 108 weeks
Then,
12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks
[tex]\frac{108}{12} = 9 \ weeks[/tex]
Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines
Learn more here: https://brainly.com/question/18880656
Answer this question I will try to give brainliest but I don't know how so no promises.
Answer:
d. 4x+12
Step-by-step explanation:
distribute the 4
4*x =4x
4*3=12
therefore its
4x+12
Answer:
D
Step-by-step explanation:
4(x+3)
(4 times x) + (4 times 3)
4x + 12 = D
Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?
Answer:
(0, 7) is an ordered pair solution to 3x + y = 7
Step-by-step explanation:
Given the equation 3x + y = 7, find a solution (ordered pair).
There are an infinite number of possible solutions. Let's focus on just one:
Let x = 0. Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7
Can u help me with this please it’s due in 5 mins. Find value of x.
Answer:
x = 35°
Step-by-step explanation:
Co-interior angles add up to 180°, so:
2x + 43 + 2x - 3 = 180° (now, simplify)
4x + 40 = 180° (subtract 40 from both sides)
4x = 140° (divide both sides by 4)
x = 35°
Hope this helps!
Answer:
x=35
Step-by-step explanation:
given: two lines cut by a transversal to find x
solution: the given two angles are supplementary since they are consecutive interior angles.
(2x+43)+(2x-3)=180°
⇒ 4x+40=180°⇒4x=140°
⇒x=[tex]\frac{140}{4}[/tex]=35
hope this helps :)
Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP
Answer:
12.2
Step-by-step explanation:
BC = √ABsq + √CAsq
BC = √11.9sq + √2.7sq
BC = √141.6 + √7.3
BC = √148.9
BC = 12.2
Will offer 50 points for answer
Math question in the image
Answer:
The answer is 1, Hope that Helps! :)
Step-by-step explanation:
I answered first but didn't get braintlyist...ok.....
Answer:
the answer is 1
Step-by-step explanation:
one is the answer
A school had 180 boys and 240 girls attending
(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?
Answer:
a. ratio is 180:240
B. ratio is 240:180
C. ratio is 420:180
d. ratio is 240:420
Hope this helps!!
What is the slope of the line on the graph?
Enter your answer in the box.
Please help me!
Answer:
6
Step-by-step explanation:
We can use the points on the line to find the slope
(0,-1) and (1,5)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= (5 - -1)/(1-0)
= (5+1)/(1-0)
= 6/1
= 6
Answer:
m = 6 units
Step-by-step explanation:
To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right
slope = rise /run = 6/ 1 = 6
How to draw 0.15+0.36 using a quick picture
Answer:
heres my photo + answer
Step-by-step explanation:
0.15
+ 0.36
____
Solve.
17. Kevin lives on a city block that has a perimeter of w- 2 miles. Each day he
runs around the block 3 times and then runs to the high school, which is an
additional 2 miles. How many miles does Kevin run in d days?
Answer: 8 miles a day
Step-by-step explanation:
[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
Please I need help the question is angle sum theorem
Answer:
x=80, y=55
Step-by-step explanation:
x is on a line so 180-100=80
x= 80
angles of a triangle are 180 so 180-45-80=55
y=55
Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer:
264
Step-by-step explanation:
to find one hour
110÷5=22 per hour
12×22=264
Answer: Lamar would make $264 in 12 hours of work.
First we would try to find how much he would make in an hour, so technically the unit rate.
TO find the unit rate we have to do 110/5 which is equal to $22
Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO, 12 times 22 is 264.
Step-by-step explanation:
I hope this helps, if you are having a tough time with math you can use:
khan academy
math nation
and many more free sites!
Hi, I was absent yesterday on my math class and I missed the whole lesson of yesterday , teacher gave us homework on delta math and I still quite do not understand how to solve it please help!
please hlep i don’t get algebra at all
Solve 3x^2+ 5 = 2 using square roots
Answer:
[tex]x=\pm i[/tex]
Step-by-step explanation:
[tex]3x^2+5=2[/tex]
[tex]3x^2=-3[/tex]
[tex]x^2=-1[/tex]
[tex]x=\pm i[/tex]
An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?
this is the full answer for you're Q
please give me good
The time taken by the object to hit the ground will be 9 seconds.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t²+ 9.8t + 308.7
To find the time taken put the function equal to zero.
−4.9t²+ 9.8t + 308.7 = 0
t² - 2t - 63 = 0
t² - 9t + 7t - 63 = 0
t ( t - 9 ) +7 ( t - 9 ) = 0
( t - 9 ) ( t + 7 ) = 0
t = 9 and -7(ignore)
t = 9 seconds
Therefore, the time taken by the object to hit the ground will be 9 seconds.
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