Answer:
58°+47°+x=180°[sum of angles in a triangle]
105+x=180
×=108-105
x=75
please someone helpme
Answer:
[tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction Notation[Interval Notation] - [Brackets] imply inclusive, (Parenthesis) imply exclusivePre-Calculus
Unit CircleCalculus
Derivatives
Derivative Notation
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[sinu] = u'cosu[/tex]
Step-by-step explanation:
Step 1: Define
[Given] q(t) = t + 2sint
[Given] Interval [0, 2π]
[Solve] q'(t) = 0
Horizontal tangent line have a slope of 0Step 2: Differentiate
[Derivative] Basic Power Rule/Trig Derivative [Derivative Prop - Add]: [tex]\displaystyle q'(t) = 1 \cdot t^{1 - 1} + 1 \cdot 2cost[/tex][Derivative] Simplify exponent: [tex]\displaystyle q'(t) = 1 \cdot t^{0} + 1 \cdot 2cost[/tex][Derivative] Evaluate exponent: [tex]\displaystyle q'(t) = 1 \cdot 1 + 1 \cdot 2cost[/tex][Derivative] Multiply: [tex]\displaystyle q'(t) = 1 + 2cost[/tex]Step 3: Solve
[Derivative] Substitute in function value: [tex]\displaystyle 0 = 1 + 2cost[/tex][Subtraction Property of Equality] Isolate t term: [tex]\displaystyle -1 = 2cost[/tex]Rewrite: [tex]\displaystyle 2cost = -1[/tex][Division Property of Equality] Isolate trig t term: [tex]\displaystyle cost = \frac{-1}{2}[/tex][Equality Property] Inverse Trig: [tex]\displaystyle t = cos^{-1}(\frac{-1}{2})[/tex]Evaluate [Unit Circle, Interval]: [tex]\displaystyle t = \frac{2 \pi}{3}, \ \frac{4 \pi}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
divide 270 in the ratio 3:2:1
3 + 2 + 1 = 6
270 ÷ 6 = 45
45 × 3 = 135
45 × 2 = 90
45 × 1 = 45
3 : 2 : 1
135 : 90 : 45
Hi!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Make sure to do both of them! Thanks!
9514 1404 393
Answer:
1. area DEF = 2π cm²
2. arc JK = 2π cm
Step-by-step explanation:
1. The area is given by ...
A = 1/2r²θ . . . . . where r is the radius and θ is the central angle in radians
Your sector has an area of ...
A = (1/2)(3 cm)²(80(π/180)) = (1/2)(9 cm²)(4/9π)
A = 2π cm²
__
2. The length of an arc is ...
s = rθ . . . . . . . where r is the radius and θ is the central angle in radians
s = (5 cm)(72(π/180)) = (5 cm)(2/5π)
s = 2π cm . . . arc length
_____
Additional comment
There are π radians in 180°, so an angle in degrees can be converted to an angle in radians by multiplying by π/180°. (The units of degrees cancel, leaving a pure number. "Radians" have no units.)
Geometry Question, Need Help. I will give brainliest!
Answer:
1.015
Step-by-step explanation:
I’m not sure if this is right. Since the angles are congruent I set up a proportion: 6x/9x = 7x/11x-4 and simplified down to 0=66x(x-1.015). So the answer is 0, 1.015 but it can’t be zero so just the one. Not sure if it was right to do the proportion but hope this can get you somewhere. I might be completely off.
Can anyone help me on this please
Answer:
y = x - 8
Step-by-step explanation:
y = mx + b
M is your slope, 1. 1x can be rewritten as x.
Your Y intercept is B, therefore -8.
y = x - 8. When you plug in the numbers.
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answer:
16.75
Step-by-step explanation:
20/60=x/360
x=120 degree angle
120/360=x/2pi8
1/3=x/16pi
16pi/3=x
x=16.75 arc length
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Answer:
567
Step-by-step explanation:
Please mark brainliest
Answer:
567
Step-by-step explanation:
Question 9
Which inequality corresponds to the graph shown?
Answer:
B) |x-1|≤3
Step-by-step explanation:
B) |x-1|≤3
If you substitute in any number (-2 through 4), this inequality is correct.
Can you simplify 55/50
Answer:
55/50= 11/10
1 1/10
TO
14
E
→
7
Here is some information about 80 people who play in bands.
12 are singers but not guitar players.
30% are neither a singer nor a guitar player.
1
4
of the guitar players are also singers.
Complete this Venn diagram please can someone help me with this question
Answer:
12 in the singers catagory. 50 in the middle catagory, 18 in the band catagory.
Step-by-step explanation:
PLEASE GIVE THANKS AND BRAINLIEST, TRYING TO RANK UP
need help please make sure your right people have been saying wrong answers
Answer:
C
Step-by-step explanation:
Trust me, take the square root of 24, which divides into 2 x 2 x 2 x 3, and you pull a pair of 2 out, left inside a 6
Answer:
Step-by-step explanation:
The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.
Answer: Da.mn that sucks for you
Step-by-step explanation:
Simplify: (k⁴)(k⁷)(k⁰)
a.k⁰
b.k²⁸
c.k¹¹
d.k¹²
Answer:
c.k¹¹
Step-by-step explanation:
Anything raised to the power of 0 is one so k^0=1
k^4k^7
Since they have the same base you can just add them
4+7=11
12. Nine more than y is twenty one.
Answer:
y+9=21
Step-by-step explanation:
9 more than y equals 21.
Answer
y=12
Step-by-step explanation:
y+9=21 (this would be the formula)
-9 -9 (you want to eliminate 9 from the equation, so subtract it from both sides of the equation)
y=12 (after subtracting 9 from both sides you are left with 12)
Check it
12+9=21 (is this true?)
21=21 (yes it is true, therefore y=12)
What’s the value of x
Answer:
Step-by-step explanation:
Pythagorean theorem:
x² + x² = (9√2)²
2x² = 162
x² = 81
x = 9
Nicolette needs 1/3 yard of fabric. Which fraction is equivalent to 1/3
FRACTIONS YOU CAN ANSWER FROM ARE 1/9, 5/15, 2/3, 15/5 THE ANSWERS HAVE TO BE ONE OF THOSES
Answer:
The correct answer is 5/15
Step-by-step explanation:
The only number out of 1/9, 5/15, 2/3, and 15/5, 5/15 is the only equivalent number to 1/3.
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
This figure is a square, with side lengths as shown
Answer:
P = [tex]8\sqrt{5}[/tex]
A = [tex]16\sqrt{5}[/tex]
Step-by-step explanation:
To find perimeter, just multiply the side length by 2.
To find area, multiply the side length by 4.
ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST
Answer:
160 meters
Step-by-step explanation:
Before I begin, note that distance = rate * time (or d = r * t)
To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)
So, let's set the time that Janiyah takes as x (in seconds). So, he covers
d = r * t, or 8x meters
Then, Connor's equation would be
d = r * t
d = 5x + 60 (because he got a 60 meter headstart)
Because d is the same in both equations, to solve for the amount of time they run:
8x = 5x + 60
Subtract 5x from both sides.
3x = 60
x = 20
Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x
8x = 8 * 20 = 160
So, Janiyah ran 160 meters.
Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so
5x + 60 = 160
5 * 20 + 60 = 160
100 + 60 = 160
160 = 160
True.
So, the answers are correct.
I hope this helps! Feel free to ask any questions!
Answer: 160 meters
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth. Remember, if your solving for the angle x, you must use the inverse function
Answer:
x ≈ 21.36
Step-by-step explanation:
sin31 = 11/x
xsin31 = 11
x = 11/sin31 ≈ 21.36
Which expression is equivalent to (2) -3 (4) ô?
Answer:
if any number power of 0 is 1
so, (4)^0 =1
if any number power of -1 is equal to one divide this number.
like;
a^(-1) = 1/a
Therefore,
2^(-3) = 2^(-1) x 2^(-1) x 2^(-1)
= 1/2 x 1/2 x 1/2
Hence solution of 2^(-3). (4) ^0 is,
1/2 x 1/2 x 1/2 x 1
Step-by-step explanation:
Answer this for 10 points
Answer:
D) -2
Step-by-step explanation:
Slope = -3
(1, -9)
y - y1 = m(x - x1)
y + 9 = -3(x - 1)
y + 9 = -3x + 3
y = -3x - 6
y = -3x - 6
0 = -3x - 6
6 = -3x
x = -2
find the missing term of the arithmetic sequence
17,____,23
Answer:20
Step-by-step explanation:
17 + 3 = 20
20 + 3 = 23
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 10% are pennies and 38% are dimes. There are 2 more nickels than pennies. How much
money does the bag contain?
Answer:
5 pennies
7 nickels
19 dimes
$2.3
Step-by-step explanation:
first i like to find 1%
50/100=1%
50/100=0.5
then multiply to find %'s
0.5x10=pennies
0.5x10=5
0.5x38=dimes
0.5x38=19
since there are 2 more nickels than pennies there are 7 nickels since there are 5 pennies
then find each value and add
5x.01+7x.05+19x.10
0.05+0.35+1.9=$2.3
Express each decimal to fraction 0.8255555…
Answer:
08255555/10000000 this is the answer
Answer:
0.8255555 = [tex]\frac{33}{40}[/tex]
Step-by-step explanation:
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
0.825 = [tex]\frac{0.825}{1}[/tex]
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
[tex]\frac{0.825}{1}[/tex] × [tex]\frac{1000}{1000}[/tex] = [tex]\frac{825}{1000}[/tex]
Find the Greatest Common Factor (GCF) of 825 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25,
[tex]\frac{825/25}{1000/25}[/tex] = [tex]\frac{33}{40}[/tex]
Therefore
X= [tex]\frac{33}{40}[/tex]
In conclusion,
0.825555 = [tex]\frac{33}{40}[/tex]
Hope it helps
Please mark me as the brainliest
Thank you
SOMEONE PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST THANK YOU
Answer:
20 visits.
Step-by-step explanation:
Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50
Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:
5.50v + 50 = 8v
Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:
5.50v (-5.50v) + 50 = 8v (-5.50v)
50 = 8v - 5.50v
50 = 2.50v
Isolate the variable, v. Divide 2.50 from both sides:
(50)/2.50 = (2.50v)/2.50
v = 50/2.50
v = 20
Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.
The sum of 3 consecutive integers is 201. What are the integers?
Answer:
Step-by-step explanation:
the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.
(n-1) + n + (n+1) = 201
3n = 201
n = 67
66, 67, 68
Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between _______. Group of answer choices central tendency and common tendency mutually exclusive and mutually exhaustive properties descriptive and inferential statistics positive skew and negative skew
Answer:
descriptive and inferential statistics.
Step-by-step explanation:
Science can be defined as a branch of intellectual and practical study which systematically observe a body of fact in relation to the structure and behavior of non-living and living organisms (animals, plants and humans) in the natural world through experiments.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Opportunity or convenience sampling.
Focusing on describing or explaining data versus going beyond immediate data and making inferences is the difference between descriptive and inferential statistics because descriptive statistics focuses on describing or explaining data contained in a population or obtained as a sample while inferential statistics is solely based on drawing an inference from a sample or population.
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 2 feet and side C B is 5 feet. Hypotenuse A B is labeled c.
2 squared + 5 squared = c squared
2 squared + c squared = 5 squared
c squared minus 2 squared = 5 squared
5 squared minus 2 squared = c squared
Answer:
A. 2² + 5² = c²
Step-by-step explanation:
I got it right on edge 2022
please help. Which statements are true about the figure?
Answer:
A and C I think
Step-by-step explanation:
On her farm there are 648 cow and sheep to auction at he couity fair. |The rato of the number cows to sheep it 5:4.
Answer:54
Step-by-step explanation:
Stream Revelacion by Selena Gomez
Stream Folklore by Taylor Swift
Stream Evermore by Taylor Swift