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
OLEGan [10]
2 years ago
8

Find the Area of the figure below, composed of a rectangle and a semicircle.

Mathematics
1 answer:
Mamont248 [21]2 years ago
3 0

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

Area=lw\\Area=6*9\\Area=54

Then, find the area of the semicircle...

Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3

Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1

Now, add the two to get...

54+14.1=68.1

You might be interested in
We can use the formula, density = mass over volume, to find the density of a substance. A square metal plate has a density of 10
mash [69]

Answer:

2.15cm^3

Step-by-step explanation:

V = Mass / Density

21.93g / 10.2g/cm^3

2.15cm^3

3 0
3 years ago
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
In a small community college lecture hall there are 13 rows of seats , for the first four rows the number of seats are 10,14,18,
antoniya [11.8K]
The answer is 58...
hope this helps
8 0
3 years ago
Read 2 more answers
Can someone pls help im new to this
Serggg [28]

Answer:

5

Step-by-step explanation:

\frac{-10}{-2} \\\\5

3 0
3 years ago
Susie is paid an annual salary of $71,500. Find Susie’s biweekly salary
romanna [79]
Susie gets paid $2,750 every two weeks.
4 0
3 years ago
Other questions:
  • Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c
    13·1 answer
  • Using the following set of data, calculate the lower quartile, the upper quartile, and the interquartile range. 20, 22, 25, 28,
    9·1 answer
  • A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane,
    10·1 answer
  • On New Years’s Eve, the temperate fell by 24 degrees in a span of 6 hours. By how many degrees did the temperature fall every ho
    15·1 answer
  • Consider the words typically associated with geometry. Are there any words that would be hard to precisely define? What words ca
    6·1 answer
  • How many 1/4 in 15/20?
    13·1 answer
  • A classmate says that a rectangular prism that is 6 cm long, 8 cm wide, and 15 cm high is similar to a rectangular prism that is
    6·1 answer
  • What are the solutions to -x^2+100x
    6·1 answer
  • 50 Points!!! Easy I’m just dumb!!!!
    11·2 answers
  • Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!