The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 50 feet long. Find the period.

Answers

Answer 1

Answer:

7.86seconds

Step-by-step explanation:

Given the expression used to model the length of the pendulum as

L=0.81t^2 where t is the period

IF the pendulum is 50 feet long, then L = 50 feet

Substitute

50  = 0.81t^2

t² = 50/0.81

t² = 61.7283

t = 7.86 seconds

Hence the period is 7.86seconds


Related Questions

Marcus purchased 4 1/2 pounds of rice on Monday and 2 1/3 pounds of rice on Tuesday, What was the total weight, in pounds, of rice purchased by Marcus in the two-day period?
A. 6 1/6
B. 6 2/5
C. 6 1/3
D. 6 5/6
E. 7 5/6​

Answers

Answer:

he would have bought 6 5/6 pounds of rice.

Step-by-step explanation:

4 1/2 + 2 1/3 = ?

First, you want to get common dominaters. And the closest number is 6

4 3/6 + 2 2/6 = 6 5/6

This can not be simplifyed so that would be your answer.

The total weight, in pounds, of rice purchased by Marcus in the two-day period is [tex]6\frac{5}{6}[/tex] pounds.

Addition of fraction:

It is given that,

Amount of rice purchased on Monday = [tex]4\frac{1}{2} pounds[/tex]

Amount of rice purchased on Tuesday[tex]=2\frac{1}{3} pounds[/tex]

the total weight, in pounds, of rice purchased by Marcus in the two-day period is computed as;

                            [tex]=4\frac{1}{2}+2\frac{1}{3} \\\\=\frac{9}{2} +\frac{7}{3} \\\\=\frac{27+14}{6} \\\\=\frac{41}{6}\\ \\=6\frac{5}{6} pounds[/tex]

Therefore, the total weight of rice is [tex]6\frac{5}{6}[/tex] pounds.

Learn more about the fraction here:

https://brainly.com/question/78672

cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area​

Answers

Is this in Spanish?

PLEASE HELP PLEASEEE!!!!

Answers

In first diameter=8,In second diameter=2/3,

If you help, you get cookie

Answers

Answer:

97°

It would be 97° because anything higher than 90 is obtuse and it couldnt be 180 because 180 would be a straight angle

hope this helps

A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?

Answers

Answer:

Step-by-step explanation:

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PLEASE HELP ME!!!!!!
2j<8, if j=8​

Answers

Answer:

[tex]\\ \boxed{ \huge \boxed{\tt{} False}}[/tex]

the statement is always false because

[tex]\tt{2j=64\:and\:j=8}[/tex]

⊱┈──────────────────────┈⊰

[tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex][tex] \\ \huge\boxed{\ddot\smile}[/tex]

Find C. Leave your answer in simplified radical form.

Answers

9514 1404 393

Answer:

  7√2

Step-by-step explanation:

The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...

  c = 7×√2

  c = 7√2

_____

If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.

  7/c = sin(45°)

  c = 7/sin(45°) = 7/(1/√2) = 7√2

Or ...

  c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*

  c = √98 = 7√2

__

* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.

What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)

Answers

The answer for your question is B. There is no way of solving this that would come out to a full answer of just a number.

answer the following this is reading!!

Answers

Answer:

A I assume

Step-by-step explanation:

I was between A and D ( The first one and the last) but I think a makes more sense

plz help fast i have to find the surface area of a 3d shape

Answers

label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible

Step-by-step explanation:

Someone please help me?

Answers

Answer:

Option 2 (open circle at 6 with arrow going to the right.

Step-by-step explanation:

Open circle means "excluding that number". Since x>6, x cannot be 6 so we have an open circle at 6. x>6 also means x has to be greater than 6, so we have the arrow going to the right since 7 is greater than 6, 8 is greater than 6, and so on so forth.

I’ll give the Brainliest to who answers this question with a reasonable explanation.


The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?

A) y = 2x + 1

B) y = 3x + 1

C) y = 2x

D) y = 3x


Thank you.

Answers

Answer:

D y=2x

Step-by-step explanation:

Using slope formula change in y over change in x

[tex] \frac{2}{1} [/tex]

the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D

I need help finding the area to the trapezoid for geometry class :) ​

Answers

Answer:

313.5 feet cubed

Step-by-step explanation:

A = a+b /2 (h)

14+24/2(16.5)

38/2 (16.5)

= 313.5

Whats the answer to this i can't figure it out can someone help.

Answers

Answer:

D!

Step-by-step explanation:

TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!

Please help due in 5 minutes !

Answers

It’s 8:1 hope this help

2007 Federal Income Tax Table
Single:
Over But not over The tax is
$0 $7,825 10% of the amount over $0
$7,825 $31,850 $788 + 15% of the amount over $7,825
$31,850 $77,100 $4,386 + 25% of the amount over $31,850
$77,100 $160,850 $15,699 + 28% of the amount over $77,100
$160,850 $349,700 $39,149 + 33% of the amount over $160,850
$349,700 And Over $101,469 + 35% of the amount over $349,700
Tim Tradesman had a taxable income of $82,500. He figured his tax from the table above.

1. Find his earned income level.

2. Entered the base amount. = $

3. Found the amount over $ = $

4. Multiplied line 3 by % = $

5. Added Lines 2 and 4 = $

Answers

Answer:

Tax= $ 7,173.5

Step-by-step explanation:

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5

Step-by-step explanation:

Will GIVE BRAINLIEST

A ganza is a percussion instrument used in samba music.

a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.

Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?

The weight of the larger ganza is about
pounds.

Answers

Answer:

1036.2 sq. cm

Step-by-step explanation:

The surface area of the smaller ganza = 2πr2 + 2πrh

surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10

surface area = 76.93+ 219.8

surface area = 296.73 sq. cm

The surface area of the larger ganza  = 2πr2 + 2πrh

surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5

surface area = 189.97+846.23

surface area = 1036.2 sq. cm

a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]

    The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]

b. The weight of the larger ganza is [tex]3.84[/tex] pounds.

Surface area :

From given figure,

Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]

height of smaller ganza, [tex]h_{1}=10cm[/tex]

a. The surface area of the smaller ganza is,

              [tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]

              [tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]

The surface area of the larger ganza

               [tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]

               [tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]

b. Since, the surface area is proportional to the weight.

and The weight of the smaller ganza is 1.1 pounds.

            [tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]

Learn more about the surface area here:

https://brainly.com/question/16997207

Which list orders –3.216, 5.34, –3.62, –1.8, and 5.4 from greatest to least?
5.4, 5.34, –1.8, –3.216, –3.62
–3.62, –3.216, –1.8, 5.34, 5.8
–1.8, –3.216, –3.62, 5.34, 5.4
5.34, 5.4, –1.8, –3.62, –3.216

Answers

5.4, 5.34, -1.8, -3.216, -3.62

Answer:

A

Step-by-step explanation:

Ur welcome

ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?​

Answers

Answer:

1. 200

2. 78

3. 50%

4. 20%

5. 14.52

6. 72

7. 30

8. 27

9. 50%

10. 20%

I hope this helps:D


Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.

Answers

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

HELP PLEASE!!
What is M BCD

Answers

Answer:

m(BCD)=180°-m(BCA). In the triangle ABC m(BCA)=m(ABC)=(180-52)/2=64°. Finally, m(BCD)=180-64=116°

Step-by-step explanation:

I need help please help me

Answers

Answer:

8×3x - 8×y

Step-by-step explanation:

24x-8y this is the answer

A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?

Answers

Answer:

4 vans, 6 cars

Step-by-step explanation:

6 cars , 4 vans hope it helped

HELP NOW PLEASE. Solve the system of linear equations by using substitution:

x = 2
y = -x + 3

Answers

Answer:

y=1

Step-by-step explanation:

Since we know that [tex]x=2[/tex], we just need to subsititute into the x value. So that will be:

[tex]y=-(2)+3\\y=-2+3\\y=1[/tex]

Hope this helps and answers your question! Have a great day/night!

The answer is y=1
Can you please mark this as brainliest because I need to level up to expert

EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.

Answers

Answer:

no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12

Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.

Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.

Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250

Answers

Answer:

$22.5

Step-by-step explanation:

[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]

Points a and b both on line y=3x+7 work out the missing y coordinate for a and the missing x coordinate for b

Answers

Answer:

Missing [tex]y[/tex] coordinate for [tex]a[/tex] is [tex]3x+7[/tex]

Missing [tex]x[/tex] coordinate for [tex]b[/tex] is [tex]\frac{b-7}{3}[/tex]

Step-by-step explanation:

Given: Equation of a line is [tex]y=3x+7[/tex]

To find: missing [tex]y[/tex] coordinate for [tex]a[/tex] and the missing [tex]x[/tex] coordinate for [tex]b[/tex]

Solution:

First find missing [tex]y[/tex] coordinate for [tex]a[/tex]

Put [tex]x=a[/tex] in [tex]y=3x+7[/tex]

[tex]y=3(a)+7=3a+7[/tex]

Now find the missing [tex]x[/tex] coordinate for [tex]b[/tex]

Put [tex]y=b[/tex] in [tex]y=3x+7[/tex]

[tex]b=3x+7\\3x=b-7\\\\x=\frac{b-7}{3}[/tex]

Which of the following occurs within the solution process for sqrt 3(5x-2)- sqrt 3 (4x) = 0 asquaring both sides once
squaring both sides twice
cubing both sides once
cubing both sides twice

Answers

Answer:

C

Step-by-step explanation:

cubing both sides once

Answer:

C is correct

Step-by-step explanation:

Jus did it on EDGE!!!!

Evaluate : 2X+ 9 when x = -5
А
-10
00
10
C
-1
D
2
E
1

Answers

2x + 9

=2(-5) + 9

= -10 +9

= -1

Answer:

That would be C. -1

One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?​

Answers

Answer:

fesgqwa

Step-by-step explanation:

Answer:

254 cm

Step-by-step explanation:

multiply the 100 by the 2.54

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