1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Setler [38]
3 years ago
11

Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin p

lanning. The scale model is 11 inches long and 8.5 inches wide. Jessica notices that the door to her room takes up 1.75 inches on the right-side wall of her room, and she realizes that she cannot place any furniture in the area that the door turns through when it is opened. If the longest wall in Jessica’s actual room is 15 feet long, what is the best estimate of the area of the actual space in her room where furniture cannot be placed because of the door?
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:
 1. You have that:
<span> - The scale model is 11 inches long and 8.5 inches wide.
 - The door to her room takes up 1.75 inches.
 - The longest wall in Jessica’s actual room is 15 feet long.
 2. Therefore, the actual size of the door is:
 15 feet=180 inches
 1.75 inches(180 inches/11 inches)=28.63 inches
 3. If the door in completely open, you must apply the formula for calculate the area of a semicircle:
 A=</span>πr²/2
 r=28.63 inches
 A=π(28.63 inches)²/2
 A=1288.11 inches²
 The answer is: 1288.11 inches²
You might be interested in
26 ÷ -6<br><br>as a mixed number and simplified ​
Fed [463]

Answer:

-4 1/3

Step-by-step explanation:

26 ÷ -6

= 26 / -6    (divide both top and bottom by 2)

=  13 / 3

= -13 / 3

= -4 1/3

7 0
3 years ago
Read 2 more answers
The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with me
iragen [17]

Answer:

a) 229 and 305 days

b) 229 days or less

c) 305 days or more

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 267

Standard deviation = 19

(a) Between what values do the lengths of the middle 95% of all pregnancies fall?_____________and___________days

By the Empirical rule, 95% of all pregnancies fall within 2 standard deviations of the mean.

So

267 - 2*19 = 229 days

to

267 + 2*19 = 305 days

(b) How short are the shortest 2.5% of all pregnancies?______days or less

95% of all pregnancies fall within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. Since the distribution is symmetric, 2.5% is more than 2 standard deviations below the mean(shortest 2.5%) and 2.5% is more than 2 standard deviations above the mean(longest 2.5%). So

267 - 2*19 = 229 days

c) How long do the longest 2.5% of pregnancies last?________days or more

Explanation in b)

267 + 2*19 = 305 days

7 0
3 years ago
What is the product
Fynjy0 [20]

Answer:

in math its the answer to two numbers that are multiplied

Step-by-step explanation:

hahah was there more to your question or smthhh

4 0
3 years ago
Read 2 more answers
John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present
Margaret [11]
(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24
6 0
3 years ago
The midpoint of RS is M(1, 2). One endpoint is R(-6, 6). Find the coordinates of endpoint S.
AysviL [449]

Answer:

The coordinates of point S are (8,-2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

Let

Point S(x2,y2)

substitute the given values

(1,2)=(\frac{-6+x2}{2},\frac{6+y2}{2})

<em>Solve for x2</em>

1=(-6+x2)/2\\2=-6+x2\\x2=2+6=8

<em>Solve for y2</em>

2=(6+y2)/2\\4=6+y2\\y2=4-6=-2

therefore

The coordinates of point S are (8,-2)

5 0
3 years ago
Other questions:
  • Factor the following.
    15·2 answers
  • The digit 5 in the number 9645 represents a value that is ____ times as large as the digit 5 in the number 62,594
    13·1 answer
  • The next model of a sports car will cost 5.1% less than the current model. the current model costs $42,000 . how much will the p
    9·1 answer
  • (URGENT) need answer for today​
    10·1 answer
  • A mayor wants to determine if the people in his city think that he is doing a good job.
    9·2 answers
  • a physician orders aminophylline 7.5 mg per kg of body weight. the patient weighs 110 lb. if aminophylline is available in 0.125
    8·1 answer
  • Solve for y: Round to one decimal spot.
    12·1 answer
  • Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?​
    9·1 answer
  • Pls pls help it's really urgent!!! ​
    10·1 answer
  • The net of a square pyramid is shown below:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!