A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?

Answers

Answer 1

Answer:

60 feet from the center.

Step-by-step explanation:

As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:

c² = a² - b²   (1)

Where:

c: Length from center to foci.

a: length of half the hall.

b: length of the ceiling.

Replacing the given data into (1) we have:

c² = (130/2)² - (25)²

c = √65² - 500

c = √3600

c = 60 feet

Hope this helps


Related Questions

Which expression matches the graph?

A. n< 1
B. n> 1
OC. ns1
D. n=1
Ε. η Σ1

Answers

Answer:

c.

Step-by-step explanation:

[tex]n \leqslant 1[/tex]

is it possible to construct a triangle with the given lengths? 17, 37, 53

Answers

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

[tex]17+37>53,\\54>53,\\\text{True}\:\checkmark[/tex]

pls help me besties ‼

Answers

Answer:

1 3 2

Step-by-step explanation:

OK BESTIE

I need help plsss help

Answers

Answer:

Triangle: True

Parallelogram: False, area is 63cm^2

Trapezoid: True

Step-by-step explanation:

Use area calculators on the internet to find the area of shapes.

Please help me, sorry if it’s blurry.

Answers

Answer:

decagon is 36° 20-gon is 18°

Step-by-step explanation:

divide de number of sides by 360

N/360

10/360= 36

Answer:

decagon is 36° 20-gon is 18°

Step-by-step explanation:

divide de number of side by 360

N/360

10/360=36

I need help ASAP. Find the length of arc FD if the radius is 94 and m

Answers

Answer:

 [tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m

Please help me I need help

Answers

d = 16.76 inches

Step-by-step explanation:

We can extend the definition of the Pythagorean theorem to 3-dimensions:

[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]

Let x = 10 in

y = 10 in

z = 9 in

[tex]d = \sqrt{ {(10)}^{2} + {(10)}^{2} + {(9)}^{2} } [/tex]

[tex]d = \sqrt{281} = 16.76 \: in[/tex]

Help please one question

Answers

X=6 and y=2 all you have to do is plug x that is given into the equation for y. After you have initially solved for y ,which is 2 , you plug that into the equation as well which them comes to the answer for x

Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:45 P.M. They want to spend 1 hour and 15 minutes at the Empire State Building, 2 hours and 30 minutes in Central Park, and 1 hour and 15 minutes in Times Square. What is the latest time Mia's family can start their tour in order to make it to dinner on time?​

Answers

Answer:

3:45pm

Step-by-step explanation:

the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.

Help with math homework

Answers

B djih urtgbvth uyrto

You have completed various experiments with both 50 and 80 kg masses. If you were to complete the above simulation with a 150 kg mass, how much force would be required to move the load?

Answers

Answer:

20

Step-by-step explanation:

if you already completed various experiments with 50 and 80, add those 2 and you get 130. Then just subtract 150 and 130 and you should get 20.

please let me know if this is correct, i didn't really understand the question that well but this is what seems correct from the way i am looking at it.

hope this helps!!

PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!


A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long

Answers

Answer: a= 9 cm , b=9cm (if I got hypotenuse right if not follow same procedure with the correct value. I couldn’t tell what it said in your question)

Step by step solution: See photo

what is a prime number.?

Answers

Answer:

prime numbers are the natural numbers greater than one that are not products of two smaller natural numbers

Step-by-step explanation:

Answer:

A prime number is a number that is divisible by itself and cannot be divided by any other number only by itself.

For example, 5 is a prime number because nothing can divide into 5 except for itself.

help the whole question is right there, it's pretty easy I just don't have brainpower

Answers

Answer:

Your answer is 211.8

Step-by-step explanation:

We've made a right triangle so the equation is a²+b² = c²

141²+158² = c²

141²+158² = 44845

Then you square root it

√44845 = 211.8

How many unit fraction cubes fit into the first layer of the rectangular prism?

Answers

Answer:

33 cubes

Step-by-step explanation:

The first layer is 5 1/2 x 3 = 16 1/2

Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I am not 100% sure but i think it is A.

A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft

Answers

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

Construct a street that has an x-intercept of 6 and a slope of 4. what is the y-intercept?

Answers

Answer: CAN U MARK BRAINLIST!!!!! You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Given two points (x1, y1) and (x2, y2), the formula for the slope of the straight line going through these two points is:

\small{ m = \dfrac{y_1 - y_2}{x_1 - x_2} }m=  

x  

1

​  

−x  

2

​  

 

y  

1

​  

−y  

2

​  

 

​  

 

 

MathHelp.com

Using Slope and Y-Intercept to Graph Lines on MathHelp.com

Slope-Intercept Form

...where the subscripts merely indicate that we have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that we have two points that we're working with. Note that which point we pick as the "first" point is irrelevant; if we pick the other point to be "first", the subtractions will be reversed, but we'll still get the exact same value for the slope:

\small{ m = \dfrac{y_2 - y_1}{x_2 - x_1} }m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

Mrs. Lia has 17 pounds of modeling clay. She divides the clay into 1/2 pound blocks. If Mrs. Lia puts aside2 if the blocks and gives the rest to the students in her art class, how many 1/2 pound blocks of clay does Mrs. Lia give to her class?

Answers

Answer:

6

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

345 x 326 = ?
Help me pls

Answers

Answer:

112,470 your welcome : )

A rectangular cardboard is 8cm long and 6cm wide. what is the least number of beads you can arrange on the board such that they are at least two of the beads that are less than √10cm apart?

Answers

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

(cosA+sinA)
2
+(sinA−cosA)
2
=2​

Answers

Answer:

Here we want to solve:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

First, remember the two expansions:

(a + b)^2 = a^2 + 2*a*b + b^2

(a - b)^2 = a^2 - 2*a*b - b^2

Using these relations, we can expand:

(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2

( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2

Replacing that in our equation, we geT:

(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2

We can simplify this to get:

2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2

2*cos(A)^2 + 2*sin(A)^2 = 2

We can take the 2 as a common factor to get:

2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2

Now we can divide both sides by 2:

2*( cos(A)^2 + sin(A)^2)/2 = 2/2

cos(A)^2 + sin(A)^2 = 1

And this is a trigonometric property that is true for any value of A.

So the equality:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

is true for any real value of A.

what is 457×(783×635)​

Answers

Answer:

227222685 i cant tell if u want me to multiply them all or solve for X

Step-by-step explanation:

The answer is 227,222,685

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:Jonathan is incorrect.

Step-by-step explanation:A quadrilateral has 4 straight sides is a four sided shape which means 4 straight sides.The image you have showed me does not have 4 straight sides nor 4 edges nor 4 verticals.So Jonathan is incorrect.

Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?

Answers

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Find the surface area of the prism. PLEASE HELP IT DUE IN 10 mins I Will mark U AS BRAINLY IF u answer CORRECTLY

Answers

Answer:

Hello! answer: 17.6

Hope that helps!

7. Write the roman number in Hindu Arabic numbers
CCLX= .....​

Answers

Answer:

260 is the number in hindu/arabic

Answer:

CCLX=100+100+50+10

=260

Step-by-step explanation:

Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?

Answers

Answer:

10 feet

Step-by-step explanation:

Salvador has a rug in his bedroom with perimeter of 36 feet, the length of the rug is 8 feet what is the width of the rug?

The rug is shaped as a rectangle

The formula for the Perimeter of a rectangle = 2L + 2W

Perimeter = 36 feet

Length = 8 feet

Hence

36 = 2(8) + 2W

36 = 16 + 2W

2W = 36 - 16

2W = 20

W = 20/2

W = 10 feet

Therefore, the Width of the rug is 10 feet

Please show work thank you

Answers

Answer:

x = -10, x = -6

Step-by-step explanation:

[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]

Matt has 5 Cookies
Linn eats 3 of the cookies
How old is Linn

Answers

Answer:

3

Step-by-step explanation:

Where did you get this question?

The number of cookies left, if Matt has 5 Cookies and Linn eats 3 of the cookies, is 2.

What is subtraction?

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

The total number of cookies, t = 5,

The number of cookies Linn eats, n = 3,

Calculate the number of cookies left by using subtraction as shown below,

The number of left cookies = Total number of cookies - The number of cookies Linn eats

The number of left cookies = t - n

The number of left cookies = 5 - 3

The number of left cookies = 2

Thus, the number of cookies left is 2.

To know more about subtraction:

https://brainly.com/question/28008319

#SPJ2

The complete question is: Matt has 5 Cookies and Linn eats 3 of the cookies, how many cookies are left?

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