Answer:
Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.
Step-by-step explanation:
For example,
Find the side length of a square with an area of 49 square centimeters.
Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]
[(p^q)^r] is equivalent to [p^ (q^r)]
Answer:
True
Step-by-step explanation:
Just write down the answer.
find the mean 8,10,7,3,9,6,4,1
Based on the graph of the trigonometric functions f (θ) = 4sin θ + 3 and g (θ) = cos 2θ, at what value(s) on the interval [0, 2π) does f (θ) = g (θ)?
pi over 4 comma 3 times pi over 4 comma 5 times pi over 4 comma 7 times pi over 4
3 times pi over 2
pi over 2 comma 5 times pi over 2
5 times pi over 4 comma 7 times pi over 4
The value on the interval [0, 2π) where f(θ) = g(θ) is 3π/2.
To find the value(s) on the interval [0, 2π) where f(θ) = g(θ), we need to set the two functions equal to each other and solve for θ.
Setting f(θ) = g(θ), we have:
4sin(θ) + 3 = cos(2θ)
Now, we can solve this equation. Let's break it down step by step:
Rewrite cos(2θ) using the double-angle identity: cos(2θ) = 1 - 2sin^2(θ)
The equation becomes: 4sin(θ) + 3 = 1 - 2sin^2(θ)
Rearrange the equation:
2sin^2(θ) + 4sin(θ) + 2 = 0
Divide the entire equation by 2:
sin^2(θ) + 2sin(θ) + 1 = 0
Factorize the equation:
(sin(θ) + 1)^2 = 0
Solve for sin(θ):
sin(θ) = -1
The value of sin(θ) is -1 at θ = 3π/2.
As a result, 3π/2 is the value on the interval [0, 2π) where f(θ) = g(θ).
for such more question on interval
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An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
Geometry Question Need Help. I will give brainliest
Answer:
-4 + 5 + 1 is your answer I am the teacher of your Colony
Please help me if not that’s fine no links!
Answer:
30°
Step-by-step explanation:
53°+97°+x = 180°
The sum of three angles must equal 180°
Solve the equation.
150°+x = 180°
x = 180°-150°
x = 30°
Therefore, x = 30°
WHY IS NO ONE ANSWERING MY QUESTIONS
Answer:
perimeter = 2 * pie * r
r = 17 foot = 17/3 yards
3ft = 1 yard
perimeter = 2 * 3.14 * 17/3
= 2 * 22/7 * 17/3
= 44 * 17 / 21
= 35.605 yards
YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!
Step-by-step explanation:
So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.
STREAM LGO AND DYNAMITE
WE ARE ABOUT TO REACH 1B
HOPE I HELPED U KPOP BESTIE!
BYEEE
Which equation is right
Answer:
b.5²+12²=13² is your answer
What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
FREE BRAINLIST NEED HELP ASAP
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
Help what’s the rule
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
HELP! LOOK AT THE PHOTO
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]
[I apologize if the answer to the question is inaccurate]
Answer: 30
Step-by-step explanation:
The locations of three water pumping stations form a triangle on a map of the area. The distance
from station A to station B is 650 meters. The distance from station B to station C is 558 meters.
Answer:
There is a picture attached in which the drawing of the triangle is present.
Options are
1. less than 92 meters
2. Exactly 92 meters
3. Between 92 and 1208 meters
4. greater than 1208 meters.
Step-by-step explanation:
Correct answer is
3. Between 92 and 1208 meters
Reason is 92 cannot be the answer because hypotenuse of a triangle can not be smaller than base and perpendicular as per Pythagoras theorem.
Also it cannot be greater than 1208 as can be proven by Pythagoras theorem.
Therefore the correct answer has to be between 92 and 1208 meters.
A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?
Answer:
C- Chi-square test for Homogeneity
Step-by-step explanation:
Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
Read more on radical equation;
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for brainliest !!!! help
you get brainliest and points if you help me answer these two questions
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
B: 2,5
Step-by-step explanation:
Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.
Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.
Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
on a double number line representes a heart rate in beats per min. how many minutes until the heart beats 300 times
Answer:
60
Step-by-step explanation:
Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2
9514 1404 393
Answer:
B. P = 70 in; A = 300 in²
Step-by-step explanation:
The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...
P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)
P = 70 in.
Only answer choice B has the correct value. (Its area figure is also correct.)
Barkly Doghouses charges
$50 per sq. ft. for their dog
houses. What is the cost of a
doghouse that is 4.8 sq. ft.?
Please Help!
Answer:
$240
Step-by-step explanation:
Number of spots
32
30
28
26
24
22
20
18
16
14
12
10
...
.
2 3 4 5 6 7 8 9 10 11 12 13
Weight (g)
A. negative
Ο Ο Ο
B. parabolic
C. strong
Answer:32 30 28 16
Step-by-step explanation:
I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG
Answer:
B) 3 5/9
Step-by-step explanation:
Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!
PLEASE JUST HELP!!!!!! Anyone!!!!
Answer:
the answer is 8 because 8 is 20% of 40
What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2