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
frosja888 [35]
3 years ago
5

Fill in the missing dimensions. Round your answer to the nearest tenth

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0
(1) Ans: 19.1 m

Solution:

\frac{model}{actual} =  \frac{4}{x} \\  \frac{55.7}{265.4} =  \frac{4}{x} \\ x =  \frac{4*265.4}{55.7} \\ x = 19.1 m

(2) Ans: 1.7 ft

Solution:

\frac{map}{actual} =  \frac{1}{15.9} \\  \frac{x}{26.8} =  \frac{1}{15.9} \\ x =  \frac{1*26.8}{15.9} \\ x = 1.7 ft

(3) Ans: 2.3 mi

Solution:

\frac{map}{actual} = \frac{9}{3} \\ \frac{6.8}{x} = \frac{9}{3} \\ x = \frac{6.8*3}{9} \\ x = 2.3 mi


(4) Ans: 6.8 mi

Solution:

\frac{map}{actual} = \frac{2}{5} \\ \frac{2.7}{x} = \frac{2}{5} \\ x = \frac{2.7*5}{2} \\ x = 6.8 mi

(5) Ans: 4.0 ft

Solution:

\frac{map}{actual} = \frac{1}{13.7} \\ \frac{x}{54.9} = \frac{1}{13.7} \\ x = \frac{1*54.9}{13.7} \\ x = 4.0 ft

(6) Ans: 7.8 m

Solution:

\frac{model}{actual} = \frac{4}{x} \\ \frac{55.7}{108.4} = \frac{4}{x} \\ x = \frac{4*108.4}{55.7} \\ x = 7.8 m

(7) Ans: 1.5 mi

Solution:

\frac{map}{actual} = \frac{9}{2} \\ \frac{6.8}{x} = \frac{9}{2} \\ x = \frac{6.8*2}{9} \\ x = 1.5 mi

(8) Ans: 4.9 mi

Solution:

\frac{map}{actual} = \frac{4}{2} \\ \frac{9.7}{x} = \frac{4}{2} \\ x = \frac{9.7*2}{4} \\ x = 4.9 mi

(9) Ans: 36.0 m

Solution:

\frac{model}{actual} = \frac{6}{x} \\ \frac{24.5}{146.8} = \frac{6}{x} \\ x = \frac{6*146.8}{24.5} \\ x = 36.0 m

(10) Ans: 1.2 m

Solution:

\frac{map}{actual} = \frac{1}{16.5} \\
\frac{x}{19.5} = \frac{1}{16.5} \\ 
x = \frac{1*19.5}{16.5} \\ 
x = 1.2 m

(11) Ans: 4.9 mi

Solution:

\frac{map}{actual} = \frac{6}{6} \\ 
\frac{4.9}{x} = \frac{6}{6} \\ 
x = \frac{6*4.9}{6} \\ 
x = 4.9 mi
<span>
(12) Ans: 43.7 m</span>

Solution:

\frac{model}{actual} = \frac{10}{x} \\ &#10;\frac{60.5}{264.2} = \frac{10}{x} \\ &#10;x = \frac{10*264.2}{60.5} \\ &#10;x = 43.7 m<span>

(13) Ans: 3.7 m</span>

Solution:

\frac{map}{actual} = \frac{1}{17.6} \\ &#10;\frac{x}{65.2} = \frac{1}{17.6} \\ &#10;x = \frac{1*65.2}{17.6} \\ &#10;x = 3.7 m
<span>
(14) Ans: 6.8 mi</span>

Solution:

\frac{map}{actual} = \frac{5}{4} \\ &#10;\frac{8.5}{x} = \frac{5}{4} \\ &#10;x = \frac{8.5*4}{5} \\ &#10;x = 6.8 mi
<span>
(15) Ans: 55.9 m</span>

Solution:

\frac{model}{actual} = \frac{9}{x} \\ &#10;\frac{32.9}{204.3} = \frac{9}{x} \\ &#10;x = \frac{9*204.3}{32.9} \\ &#10;x = 55.9 m<span>

(16) Ans: 2.5m</span>

Solution:

\frac{map}{actual} = \frac{1}{15.2} \\ &#10;\frac{x}{37.9} = \frac{1}{15.2} \\ &#10;x = \frac{1*37.9}{15.2} \\ &#10;x = 2.5 m
<span>
(17) Ans: 27.6 mi</span>

Solution:

\frac{map}{actual} = \frac{3}{9} \\ &#10;\frac{9.2}{x} = \frac{3}{9} \\ &#10;x = \frac{9.2*9}{3} \\ &#10;x = 27.6 mi
<span>
(18) Ans: 7.1 m</span>

Solution:

\frac{model}{actual} = \frac{5}{x} \\ &#10;\frac{64.9}{92.6} = \frac{5}{x} \\ &#10;x = \frac{5*92.6}{64.9} \\ &#10;x = 7.1 m<span>

(19) Ans: 4.2 m</span>

Solution:

\frac{map}{actual} = \frac{1}{10.2} \\ &#10;\frac{x}{42.8} = \frac{1}{10.2} \\ &#10;x = \frac{1*42.8}{10.2} \\ &#10;x = 4.2 m
<span>
(20) Ans: 12.0 mi</span>

Solution:

\frac{map}{actual} = \frac{5}{7} \\ &#10;\frac{8.6}{x} = \frac{5}{7} \\ &#10;x = \frac{8.6*7}{5} \\ &#10;x = 12.0 mi
You might be interested in
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive
vfiekz [6]

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

4 0
3 years ago
Please help solve much appreciated
DIA [1.3K]

Step-by-step explanation:

For the Cuboid, the formula will be:

Width x Height x Length

For the cylinder the volume formula will be:

\pi \:  \times  \:  {radius}^{2}  \times  \: length

7 0
3 years ago
Solve the following inequality 3y + 5 &lt; 10
Alina [70]

Step-by-step explanation:

3y+5<10

3y<10-5

3y<5

y<⅗

8 0
3 years ago
Help help this is 10 points
Delicious77 [7]

Answer:

The anwser you are looking for is number 2

Step-by-step explanation:

7 0
3 years ago
A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesf and a standard deviation of 0.67
trasher [3.6K]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.67

n = number of samples = 103

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 103 - 1 = 102

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.6249

Margin of error = 2.6249 × 0.67/√103

= 0.173

Confidence interval = 98.6 ± 0.173

This suggests that the mean body temperature could very possibly be

98.6degrees°F.

3 0
3 years ago
Other questions:
  • A tree is 8.5 meters tall. What is its height in feet? Ues the following conversion: 1 meter is 3.3 feet.
    15·2 answers
  • What is the y intercept
    14·1 answer
  • The product of 20 and 5 is how much greater then the sum of 20 and 5
    15·2 answers
  • Correct answer will get brainliest
    11·1 answer
  • When x 4, y = 1<br> х^2 + Зry — 7у^2<br><br><br> Can you explain the whole answer.
    8·1 answer
  • You earn $8.50 per hour walking dogs and $5.75 per hour mowing lawns. The amount you earn is given by the expression 8.5x + 5.75
    12·1 answer
  • Someone pleaseee help meeee
    9·2 answers
  • What is f×e where e={1,2,13} and f={44,8,2}?
    14·1 answer
  • Assuming the world population growth rate is 1% and the current population is about 7 billion, next year the population will be:
    7·1 answer
  • the operation manager at a tire manufacturing company believes that the mean mileage of a tire is 20,138 miles, with a variance
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!