Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Answers
Hi,
Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.
Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4
Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.
But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.
Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.
Good Luck
Related Questions
Find a point E on CD such that the ratio of CE to CD is [tex]\frac{3}{8}[/tex].
Answers
Answer:
Sorry if it’s wrong. But I think the answer is: -3
Step-by-step explanation:
Formula:
E= x1 + a/b (x2 -x1)
E=-9 + 3/8(7+9)
E= -9 + 3/8(16)
E= -9 + 6
E= -3
The location of point E will be at negative 3. Then the correct option is C.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
The information is given below.
CE / CD = 3 / 8
CE / ED = 3 / 5 = m / n
Then the location of the point E will be
x = [3 × (7) + 5 × (-9)] / (3 + 5)
x = (21 - 45) / 8
x = - 24 / 8
x = -3
Thus, the location of point E will be at negative 3. Then the correct option is C.
More about the section of the line link is given below.
https://brainly.com/question/6582647
Weiming, Farhan and Sam had some comic books.
Weiming and Farhan had 36 comic books altogether.
Weiming had 3 times as many comic books as Farhan.
Sam and Farhan had 60 comic books in total.
(a) How many comic books did Farhan have?
(b) How many comic books did Sam have?
Answers
Answer:
Farhan had 9 comic books
Sam had 51 comic books and lived in his Mother's basement
Step-by-step explanation:
W + F = 36
W = 3F
3F + F = 36
F = 9
W = 27
S + F = 60
S + 9 = 60
S = 51
Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same.
Answers
The cost would be the same for 47 Go golf and 54 golf games.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
Given data as:
Charges for Go Golf -
Renting a ball and a club costs $2.50.
$4.25 for one game and
Charges for Golf Games -
3.25 for the rental of a ball and a club
$8.50 for two games
We have to determine the number of games would the cost be the same.
Total charges of Go golf per game = $2.50 + $4.25 = $6.75
Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75
For per game = $11.75 / 2 = $5.875
Let the game would be x for Go golf and
And let game would be y for the golf game
As per the given condition,
6.75 x = 5.875y
27/4 x = 47/8 y
Apply cross multiplication operation,
54x = 47y
x/y = 47 / 54
x = 47
So y = 54.
Hence, the cost would be the same for 47 Go golf and 54 golf games.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ2
The cost would be the same for 47 games at Go Golf and 54 games at Golf Games.
Total charges of Go golf per game = $2.50 + $4.25 = $6.75
Total charges of Golf game for 2 games = $3.25 + $8.50 = $11.75
Cost per game at Golf Games
= Total charges for 2 games / 2
= $11.75 / 2
= $5.875
Let the number of games be x for Go Golf and y for Golf Games.
As per the given condition,
6.75x = 5.875y
To find the relation between x and y, cross-multiplication can be used:
27/4 x = 47/8 y
54x = 47y
x/y = 47/54
Comparing the value gives
x = 47 and y = 54.
Hence, the cost would be the same for 47 games at Go Golf and 54 games at Golf Games.
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ3
If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.
a. 100
b. 124
c. -100
d. -124
Answers
Given that f(x)= x^2+4, evaluate f(-2)
Answers
Answer:
f=-x^2/2-2
Step-by-step explanation:
A survey was given to 321 people asking whether people like dogs and/or cats.
136 said they like dogs
187 said they like cats
41 said they don't like cats or dogs.
How many said they liked both cats and dogs?
232
people liked both cats and dogs.
Submit Question
Answers
Answer:
o lawd somebody get Steve Harvey
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
1.833, 3.3052, 3.35, 3.5
Step-by-step explanation:
Hope this helps! :)
Plsssss help meeeee
The question and options are in the photo
Answers
Answer:
X = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5 + 2x = 3
2x = 3 + 5
2x = 8
x = 8 / 2
x = 4
answer is A. x = 4
Step-by-step explanation:
brainliest plz
Camille is 7 years older than Donny, and Donny is 4 years younger than Tommy.
Write an expression for the total ages of the three people, in simplest form.
Answers
11
Step-by-step explanation:
first you add seven plus four and then you get your answer that is eleven
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Answers
Step-by-step explanation:
z-score of X = 6150
[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]
z-score of X = 6350
[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]
P(X<6150) + P(X>6350)
=P(z<-0.4) + P(z>-0.4)
=0.3446+0.3446
=0.6892
Round 159,095 to the tenths place
Answers
Answer:
159,100
Step-by-step explanation:
#dkdjdjdjdidididi )llllllllllllllll
What is the application of inverse matrix?
Answers
Answer:
The inverse matrix is used to solve the system of linear equations. It also tells us the consistent or inconsistent behaviour of the solution of equations.
Step-by-step explanation:
In real life,
Whereas in programming which is taught at the university, matrices and inverse matrices are used for coding and encrypting messages. Matrices are also used in representing the real world data's like the population of people, infant mortality rate, etc. They are best representation methods for plotting surveys.Can somebody help me as soon as possible !!
Answers
Answer:
C
Step-by-step explanation:
Hope it helps
what is 512 grams in pounds
Answers
Answer:
1.12877
Step-by-step explanation:
You could also round it to the nearest tenth and just say 1.1 pounds
Answer:
1.12877 pounds
Step-by-step explanation:
For an approximate result, divide the mass value by 454.
1 gram = 0.00220462 pounds
tortoise A walks 32 feet per hour and Tortoise B walks 8 inches per minute. who travels faster
Answers
Answer:
Tortoise B
Step-by-step explanation:
8 inches a minute is equal to 40ft an hour.
Tortoise A: 32/per hour
Tortoise B: 40/per hour
convert 1040 weeks to months with solution
Answers
Answer:
1040 x 0.229984 = 239.18336
months = 239
Multiply. Enter the product in simplest form.
7
9
×
4
7
=
Answers
5 is to 1 as 0.5 is to
A. 1
B. 0.1
C. 0.01
D. 5
E. 0.5
F. 0.15
Answers
Answer: 0.1
The relationship from 5 to 1 is divided by 5. So, using that, 0.5 divided by 5 is 0.1.
:)
Fill in the blanks please!!
Answers
Answer:
6,I can't help with the second one I wasn't good with that parallel lines
Step-by-step explanation:
Y2-Y1. So 3-9. 6
--------- - - -- = - - =6
X2-X1. 1-2. 1
For which of the following equations is x = -4 a solution?
Answers
if a=2,b=1 and c=1 than evalute ab+bc
Answers
Answer:
3
Step-by-step explanation:
2x1+1x1
Answer:3
Step-by-step explanation:
(2)(1)+(1)(1)
2+1
=3
Can you please answer this question?
R = E / I solve for I
Answers
I = E/R
Step-by-step explanation:
r = E/I
IF the bottom number of a fraction is multiplied the it's whole number version, the bottom of the fraction is gone and the letter moves to the other side
I*r = E/I * I
IR = E
divide both sides by R to get I by itself
IR/R = E/R
I = E/R
The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
Answers
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
1x1 = 3
Someone please help!!
Answers
Answer:
B and E
Step-by-step explanation:
the sum of 3 fifteens and 4 twos
Answers
Answer:
52
Step-by-step explanation:
15 x 3 = 45
2 x 4 = 8
45 + 8 =52
Answer:
The answer is 53
Step-by-step explanation:
Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53
Sowy about all my questions b-b-but please help with another one?
Answers
Answer:
A
Step-by-step explanation:
count both sides divide by missing pieices
Sarina rounded a number to the nearest whole number and got 7.
which number could be the number Sarina rounded to the nearest whole number?
Answers
yE2 ÷(3Z)= _______
if y=12, and Z=8
Answers
Answer:
45
Step-by-step explanation:
solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)
x + 7y = 10.......(I)
3x - 2y = 7.......(ii)
5x + y = 10.......(I)
7x - 3y = 14......(ii)
Answers
Answer:
just rearrange the equation. I did the first one. Do the same for the rest.
2x - 3y = 9
-3y = -2x + 9
y = -2/-3x + 9/-3
y = 2/3x - 3
Step-by-step explanation:
Using distributive property, factor out the GCF and rewrite 54 + 90
Answers
Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90