How can I find the unknown side lengths when given the area or circumference of a figure?

Answers

Answer 1

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]


Related Questions

[(p^q)^r] is equivalent to [p^ (q^r)]​

Answers

Answer:

True

Step-by-step explanation:

Just write down the answer.

find the mean 8,10,7,3,9,6,4,1

Answers

The mean is 6. Add all the numbers together and divide by how many numbers appear.

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

Answers

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

Answers

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

Answers

Answer:

-4 + 5 + 1 is your answer I am the teacher of your Colony

Please help me if not that’s fine no links!

Answers

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

Answers

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​

Answers

Answer:

b.5²+12²=13² is your answer

What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram​

Answers

square=a^2
trapezoid: a+b over 2 times height
triangle=bxh divide by 2
parallelogram= bxh

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

Answers

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?

Answers

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​

Answers

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

Answers

doubling or quadruple

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.

Answers

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

Answers

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.

Answers

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?

Answers

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

Answers

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

Answers

70 ft because 7 is bigger than 5 and 7x10=70

you get brainliest and points if you help me answer these two questions

Answers

I can’t quite see the question. Mind taking a picture of it closer?

Hi there :D
I am struggling. I will mark brainliest!

Answers

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.

Answers

The answer to this is (2,5)

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!!!!!!!!!!!

Answers

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​

Answers

I honestly don’t know but I saw someone typing and if they send a link don’t click it, that same account has answered my questions with just a link, good luck tho

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


Answers

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!

Answers

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

Answers

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​

Answers

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!!!!

Answers

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

Answers

slope= (y2-y1)/(x2-x2)

(-5-(-2))/(3-1)
- negative 2 would become a positive
(-5+2)/(2)
-3/2

the answer is d
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A corporation last year paid AED 5 per share as dividend. The required rate of return by investors is 10% and the constant growth rate of earning is 6%. Then the stock price of the corporation isA.AED 132.5 per shareB.AED 117.5 per shareC.AED 32.5 per shareD.AED 125 per share 6. In addition to changes in the number of daylight hours, what otherfactor contributes to Earth's seasons? O A. Time of the dayO B. Energy as heat from the sunO C. Angle of the sun's radiationO D. Warm air blowing from the oceans Convert 562 hectograms to pounds to the nearest hundredth Question 2 of 10If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).A. 4x + 1B. 2x - 3. 3 3D. 2x - 1 For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means. a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test. b. A researcher measures self-esteem in 21 students before and after taking a difficult exam. c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room. A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use $x$ to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.Amount Used for Payment $80Change Received $19.25An equation that represents this situation is .The customer buys sandwiches. all metals rust please answer false or true 1. what does della say, think, and do that reveals her character to the reader? What is angle BXC and why?? Please help The powers of the commander in chief of the armed forces belong to thejudicial branch.legislative branch.executive branch.state governments Five students took a quiz. The lowest score was 4, the highest score was 6, the average (mean) was 5.2, and the mode was 6. A possible set of scores for the students is: If 5.32 mols N2 and 15.8 mols H2 react together, what mass NH3 can beproduced? Which is the limiting reactant? Select the quadrant or axis where each ordered pair is located on a coordinate plane. Simplify: 6a - 2(5a - 6) I a doing an exam in science pls help.What type of energy comes from the motion of tiny particles of matter? lindall fabrics sells leather and other durable fabrics to furniture manufacturers for use in the finishing of their sofas and chairs. lindall fabrics would most likely hire a(n) agency to create the company's advertising. PLSSS HELPPIf humans are evolving, who is having the biggest effect on humanities gene pool? Rich vs poor? Educated vs uneducated? Certain countries over others? Etc.? And how will this affect our evolution in the future? determine the volume of the rectangular prism. height:12ftwidth:6ftlength:3ft How did the Council of Trent react to the ideas of reformers? (4 points) aIt agreed with all of the changes that were requested. bIt created rules to allow individual Bible interpretation. cIt ignored them and made no changes to Church policy. dIt tried to address corrupt practices in the Church. Which appears when you move the pointer over a cell?