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MAVERICK [17]
3 years ago
8

Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w

hich, in cross section, is half of an ellipse. If the room is 30 feet high at the center and 90 feet wide at the floor, how far from the outer wall should each of them stand so that they will be positioned at the foci of the ellipse? Fill in the blank: Denise and Donna should each stand _____ ft from the outer wall so that they will be positioned at the foci of the ellipse. Round your answer to the nearest whole ft (no decimal places).
Mathematics
1 answer:
Yuri [45]3 years ago
7 0

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

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If 9a+6b+4c=7, what is -24b-16c-36a
zheka24 [161]
Rearrange the 2nd equation

-36a-24b-16c

divide the whole thing by 4 and you'll get
-9a-6b-4c

you'll realize it looks the same as your first equation except that all the + has become minus so the answer will be -7 instead for your new equation
-9a-6b-4c=-7

multiply the whole thing by 4 and you'll get
-36a-24b-16c = -28

so the answer you want is -28
6 0
3 years ago
14. Twelve more than seven times a number equals the number less six
kotegsom [21]

Answer:

The number is -3.

Step-by-step explanation:

Set up an equation:

Variable n = number

12 + 7n = n - 6

Assuming the question is solve for n, isolate the variable:

Subtract n from both sides:

12 + 6n = -6

Subtract 12 from both sides:

6n = -18

Divide by 6 on both sides:

n = -3

Check your work:

12 + 7(-3) = -3 - 6

12 - 21 = -3 - 6

-9 = -9

Correct

3 0
2 years ago
Read 2 more answers
kell works at an after-school program at an elementray school. on monday he work for 1.5 hours and recived 12.6 dollars, on tues
Rina8888 [55]

Answer:

Kell would make more money working 10 hours than Markio.

Step-by-step explanation:

To find how much Kell makes per hour, you have to divide how much he worked by how much he earned. So on Monday, Kell worked 1.5 hours and received 12.6 dollars. Divide 12.6/1.5 and you'll find you're answer.

Monday:   12.6/1.5=<u>8.4</u>

On Tuesday, the problem states that he worked 2.5 hours and received 21 dollars. Divide 21/2.5 and you'll find the answer.

Tuesday:     21/2.5= <u>8.4</u>

On Wednesday, the problem states that he worked 4 hours and received 33.60. Divide 33.60/4 and you'll get you're answer.

Wednesday:    33.60/4= <u>8.4</u>

So we can conclude that Kell makes $8.40 per hour.

Now the problem states, Markio gets paid 7 dollars per hour. To find the answer to the question, you have to multiply how much they make per hour times 10 hours.

Markio:  7x10=70

Kell:  8.4x10=84

So to answer the question, Kell would make more money working 10 hours.


Hope it helps!

3 0
2 years ago
Subtract - 8 from 18.<br> The answer is
marissa [1.9K]

Answer:

10

Step-by-step explanation:

18-8=10

3 0
3 years ago
Project: slang
RoseWind [281]

The purpose of using slang is mostly for social purposes such as:

  • It is use as a kind of identity identify for any members of a group.
  • It is often used to oppose an already set up authority.
<h3>What is the use of slangs about?</h3>

Slangs is often used in the Sharing and keeping  of a constantly altering vocabulary aids.

It is used to show group solidarity and it is often used to include or exclude members.

The common sports slangs are:

  • “Game of inches”
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  • “The ball is in their court”

Learn more about Slangs from

brainly.com/question/476021

#SPJ1

7 0
1 year ago
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