Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
please help i'm stuck :,)
Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.
Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
-------------
Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
-------------
Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = [tex]\frac{mass}{volume}[/tex]
Input the parameters and solve
Density = [tex]\frac{220000}{1000}[/tex] = 220g/cm³
What 98 x 8 divided by 2 and what is this game called
Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
will mark brainlyest 10/19
Answer:
answer is 5
Step-by-step explanation:
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
I dont get the question
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
Write the slope-intercept form of the equation for the line containing (1,-6) and (−4,4).
Answer:
-2
Step-by-step explanation:
m = 10 / -5 = 2 / -1 = -2
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
solving equations with variables on both side! due today
Answer:
x=5
Step-by-step explanation:
2-3x = -x-8
Add 3x to each side
2-3x+3x= -x+3x-8
2 = 2x-8
Add 8 to each side
2+8 = 2x-8+8
10 =2x
Divide by 2
10/2 =2x/2
5 =x
answer with explanation pls
Answer:
8.69>8.6
Step-by-step explanation:
Because 8.69 has .09 more than 8.6
Answer:
8.69 > 8.60
Step-by-step explanation:
You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6
hope this helped! :)
What is the slope of the following table?
Answer:
The slope is 7
Step-by-step explanation:
Choose any of the following points for example (0.5,3.5) and (1,7)
7-3.5=4.5/1-0.5=0.5
Divide 4.5/0.5 to get 7
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)
Answer: D is the correct answer .
D. h(x)= (x-2)^2(x+4)(x-1)
Step-by-step explanation: For Plato users the correct answer is D .
The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.
What is a Function?A function is a law that relates a dependent and an independent variable.
The zeroes of the function are the point at which the function value becomes 0.
The function which have three distinct real zeroes is
h(x) = (x − 2)²(x + 4)(x − 1)
(x-2)² = 0
x = 2
(x+4) = 0
x = -4
x-1 = 0
x = 1
To know more about Function
https://brainly.com/question/12431044
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What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answer:
Answer given in the photo
You have $50 in your bank account. You withdraw $60 from your bank account. What is your new balance?
Answer:
you would not be able to withdraw $60
Step-by-step explanation:
$50 is less than $60
Answer:
$-10 (you wouldn't be able to withdraw 60, only 50 or less.)
Step-by-step explanation:
You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.
And you wouldn't be able to withdraw 60, only 50 or less.
(～￣▽￣)～Hope this helps!
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
A. the input when the output is zero
B. the output when the input is zero
C. the input when the output is 1
D. the output when the input is 1
Answer:
B
Step-by-step explanation:
got stuck on it too lol
The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.
What is perimeter?Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
Since sum of side lengths of the triangle of vertices: 3
Area: ½ × base × height
Number of edges: 3
Internal angle: 60° (for equilateral)
The Sum of interior angles is 180°
Therefore, the coordinates of the intersection indicate will be;
B. the output when the input is zero.
Learn more about perimeter here:
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The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answer:
15
Step-by-step explanation:
Can You Please Help? I swear I will mark brainliest
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
Which number line best shows the position of 13?
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself