What is the area of this composite figure
189.25 in2
228.5 in2
150 in2
78.5 in2
Answers
Answer:
189.25 in²
Step-by-step explanation:
First, let us find the area of the rectangle.
Area = Length × Width
= 15 in × 10 in
= 150 in²
Then let us find the area of the semicircle.
Area = [tex]\frac{1}{2}[/tex] × π r²
= [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5
= 0.5 × 3.14 × 25
= 1.57 × 25
= 39.25 in²
Now let us find the total area of the composite figure.
Total area = Area of the rectangle + Area of the semi-circle.
= 150 in² + 39.25 in²
= 189.25 in²
Related Questions
I’m order to make a profit on the milkshakes, you need to charge $0.04 per cubic inch of ice cream. Based on information, calculate the price that you should sell each milkshake for. Here are the totals of the ice cream 50.24, 127.56, 226.08
Answers
Answer:
Step-by-step explanation:
$ 50.24
a
2a
3a
5a
The sum of the first five terms of this sequence is 228
Work out the value of a,
Answers
We will see that the value of a is 12.
How to get the value of a?
We have a Fibonacci sequence, and the first four terms are:
a, 2a, 3a, 5a.
Because it is a Fibonacci sequence, the next term should be the sum of the two previous ones.
3a + 5a = 8a
Then the sum of the first 5 terms is:
(a + 2a + 3a + 5a + 8a) = 228
We can solve this for a.
(1 + 2 + 3 + 5 + 8)*a = 228
19*a = 228
a = 228/19 = 12
So we conclude that the value of a is 12.
If you want to learn more about sequences, you can read:
https://brainly.com/question/7882626
Suppose the half-life of a certain radioactive substance is 12 days. Find the time when there will be 20% of the initial substance remaining. Assume you have 1 gram of the original substance.
pls help, it due today
Answers
Answer: 2.4% I think
12 x 20 / 100 = 2.4%
The time when there will be 20% of the initial substance remaining is 2.4%
Given that,
Suppose the half-life of a certain radioactive substance is 12 days. and, there is 20% of the initial substance remaining.calculation:= 12% of 20%
= 2.4%
learn more about the substance here: https://brainly.com/question/497209
Joanna and Kyle went to store. Joanna bought 2 erasers and 5 pens which altogether cost $17. Kyle
bought 4 erasers and 2 pens which he paid $10 for. Calculate the cost of one eraser and the cost of one
pen.
Answers
Answer: 2x + 3= 9
Step-by-step explanation: hope it's correct well your welcome
Answer:
Erasers are $1 and pens are $3
Step-by-step explanation:
2x+5y=17
4x+2y=10
y=5-2x
2x+5(5-2x)=17
2x+25-10x=17
8x=8
x=1
plug x in and get 3 for Y
How many 1 / 4 pound hamburgers can be made from 9 / 12 pound of meat?
More questions to come
Answers
Answer: Hi
Step-by-step explanation:
Please help me solve for x
Answers
Answer:
You would do this problem like a normal varible problem. x=10
Step-by-step explanation:
Since 9x is a right angle the inside would also be 9x
9x+4x+10+40=180
180 because that is how much a triangle equals
combine like terms
13x+50=180
subtract 50 from both sides
13x=130
divide by 13
x=10
Hope this helps!
Eight more than the quotient of a number and 6 equals 3.
Answers
Hey there!
First of all, the quotient of a number and 6 means you divide that number by 6.
Let the number be x.
Then, eight more means you add 8:
8+(6÷x)=3
That's the answer.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Steps:
Create an equation with the given information. (x/6) + 8 = 3
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = -30
A cylinder has a radius of 4 inches and a height of 2 inches. What is its volume
to the nearest tenth?
Answers
Volume V= 452.4
Explanation:
Volume
V
=
452.4
Cubic inches
Explanation:
The formula for the volume of cylinder
V=πr2h
V=π62⋅4
V=144π
V=452.4 Cubic inches
How many cubes with edge lengths of 1/4 in. will it take to fill the prism a 56 cubes b 375 cubes c 6000 cubes i need to hurry
Answers
Answer:
I'm not too shmert so I will guess, ok?
PLESS I DONT WANT TO GET BEAT TODAY BY MY MOM PLESSSS HELP ME х у х Note: Figure is not drawn to scale. If x = 5 units, y = 15 units, and h = 8 units, find the area of the parallelogram shown above using decomposition. OA. 120 square units OB. 40 square units OC. 160 square units OD. 80 square units
Answers
Answer:
160 square units
Step-by-step explanation:
First, lets focus on the triangles.
To find the area of a right triangle, we need to multiply the length by the width, and divide by 2.
(5 * 8) / 2 = 20
(And since there is two triangles, the area of the two is 40.)
To find the area of a rectangle, we need to multiply the length by the width.
15 * 8 = 120
Now we add all the areas together.
120 + 20 + 20 = 160
Is the answer is 160 square units.
Please help me answer this problem... for 15 points
Answers
Answer:
its C :) hope this helps:))))
Step-by-step explanation:
15 times r is the amount of the rings there are 15 rings and r is equal to the price. in the question it says it says they are equal to AT LEAST 50,000 so they could be worth more than 50k also in the question it says the case is 8000 so c is the answer becuase 8000 plus 15 times r is greater than or equal too 50k i hope this helps <3
Answer:
C
Step-by-step explanation:
Plzz answer I will give you brainliest and 17 points
Answers
divide 140.50 by 10
that equals 14.05
now you know what 1 click costs
multiply that by 8000
that equals 112,400
that is your answer
(X+1)²+(x+1)(5x-3) factoriser
Answers
Answer:
Step-by-step explanation:
(x +1)² + (x +1)(5x - 3) = (x +1)(x+1) + (x +1)(5x - 3)
(x +10 is the common term. SO, we can take out (x+1)
=(x +1) [ x + 1 + 5x - 3]
=(x + 1) (x + 5x + 1 - 3) {Combine like terms}
= (x +1)(6x -2)
Maxime a découpé des disques de
différentes tailles dans des cartons
carrés de 50 cm de coté, lequel des
trois cartons contient la plus grande
surface inutilisée? Ecris les étapes
de ta démarche.
Answers
Please help urgent!!
Answers
Answer:
B
Step-by-step explanation:
six is 6 and since 7 is last in 6.017 then 0.007 and 0.1
i hope this helps
I need help.. >w<
Which answer choice shows 36.95 written in expanded form?
O A) 3 + 6 + 9 + 5
OB) 30 + 6 + 0.9 + 0.5
OC) 30 + 6 + 0.9 + 0.05
OD) 30 + 6 + 0.9 + 0.005
Answers
Answer:
O C)30+6+0.6+0.05 hope this helps
Answer:
C) 30 + 6 + 0.9 + 0.05
Step-by-step explanation:
30. 0.9. 36
+6. +0.05. +00.95
---------. -------------. ---------------
36. 0.95. 36.95
----------. --------------. --------------
36+0.95=36.95
A 1/2 kilogram of flour is packed equally into 6 bags. How much
flour is in each bag?
A. 1/3 kilogram
B. 1/4 kilogram
C. 1/12 kilogram
D. 1/18 kilogram
Answers
Step-by-step explanation:
(1/2) / 6 = 1/ 6*2
(1/2) / 6 = 1/12.
Key Features of Graphs of Functions - Part 1
1. The following statement is false. Highlight the two words that should be
interchanged to make it a true statement.
In a function, every output value corresponds to exactly one input
value.
2 The following graph fails the vertical line test and is not a function.
у
X
leg
Part A Explain how the vertical line test shows that this relation is NOT a
function. Because it has 2 lines interseding
Bart B: Name two points on the graph that show that this relation is NOT a
function. The reason its not a function is because
Answers
Answer:
See below
Step-by-step explanation:
Q1.
In a function, every output value corresponds to exactly one inputvalue.
The words to be interchanged are underlined. The function as per definition has exactly one output for each input.
Q2.
Part A
Because it has 2 same input value for 2 different output valuesPart B
The two points are (4, -2) and (4, 2)Answer:
below
Step-by-step explanation:
Question 1:
In a function, every output value corresponds to exactly one input value.
The words that should be switched around are "output" and "input". This is because every input should have have only ONE output.
Question 2:
The following graph fails the vertical line test and is not a function. (YES)
Using the vertical line test to test whether the vertical line passes through the graphed function more then once. If it does, its not a function. If it doesn't, it is a function. Sadly, the vertical lines pass the point on two separate occasions which makes it not a function.
The vertical line shows gives the points (4, 2) and (4, -2).
Best of Luck!
At book fair, the ratio of adults to children is 7 : 3
The ratio of girls to boys at the book fair is 4 : 1
What percentage of the people at the book fair are boys?
Answers
The percentage of the boys at the book fair is 6%
What is a percentage?Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.
At a book fair, the ratio of adults to children are:
7 : 3
The total number of people at the book fair = 7 + 3 = 10
The percentage of adults are:
[tex]\mathbf{=\dfrac{7}{10}\times 100\%}[/tex]
= 70% are adults
The percentage of children are:
[tex]\mathbf{=\dfrac{3}{10}\times 100\%}[/tex]
= 30% are children
However, if from the children, 4 are girls and 1 is a boy.
The total number of children at the fair = 4 + 1 = 5
The percentage of girls are:
[tex]\mathbf{=\dfrac{4}{5} \times 30\%}[/tex]
= 24%
The percentage of boys at the book fair is:
[tex]\mathbf{=\dfrac{1}{5} \times 30\%}[/tex]
= 6%
Learn more about percentages here:
https://brainly.com/question/24304697
What is the degree of the polynomial?
Answers
Answer:
5
Step-by-step explanation:
The highest order is x^5
AB has endpoints at -2 and 12. What is the coordinate of its midpoint?
A
A
-6-4-2
B
+
8 10 12 14 16
0
2
4
6
O A 7
B. 5
C 6
D. 4
O
Answers
HELP PLEASEEEE THERES PICCTURESSS
Answers
Answer:
1 a,b,c,d
2 add 8 ,divide by 5 , switch sign
3 x<4, x<6, x>13, x>-4
Step-by-step explanation:
Could you show how to Graph X>2?
Answers
Answer:
I hope this helps!
Prove:-
(tan x + sec x)2 = 2 sec^2x+2 tanx secx-1
Answers
Answer:
see explanation
Step-by-step explanation:
using the identity
tan²x = sec²x - 1
consider the left side
(tanx + secx)² ← expand using FOIL
= tan²x + 2tanxsecx + sec²x
= sec²x - 1 + 2tanxsecx + sec²x ← collect like terms
= 2sec²x + 2tanxsecx - 1
= right side , thus proven
Which expression represents the phrase "the difference of 18 and 12"?
help me pls
Answers
Answer:
18-12
Step-by-step explanation:
difference means subtraction so it would be a subtraction problem and you just plug in the numbers and your set.
D.g(x) = - 2
9
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted up 2 units
i have more translation of quadratics questions i need some help on so if you’re willing let me know
Answers
Answer:
g(x) = x² + 2
Step-by-step explanation:
If we want to shift a function down, we subtract the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units down → f(x) - b
Similarly, in function notation, if we want to shift a function up, we add the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units up → f(x) + b
Given function f(x) = x²
Shift 2 units up ⇒ x² + 2
Therefore, g(x) = x² + 2
if the square root of the natural number from 1 to 200 are calculated, the number of whole number will be
Answers
Answer:
first 15 no. only 1,2,3,4,5,6,7,8,9,10,11,12,13,14.
Which equation has infinitely many solutions?
A) -6.8+3y+2.4=4.3-3y
B)1/3y+2.5-2/3y=1.2
C)5.1+2y+1.2=-2+2y+8.3
D)2/5y=2.3+3/2y
Answers
Answer:
c
Step-by-step explanation:
i dont really have an explanation but i got it right
Answer:
c
Step-by-step explanation:
How many months are in half of a year?
Answers
Answer:
a year is 12 months so there would be 6 months in half a year
Answer:
6
Step-by-step explanation:
there are 12 months in a whole year so just divide that by 2 and you get 6!
HURRRY WILL MARK BRAINLIEST
Answers
Answer:
Daniel is incorrect, Bella and Carlos run at 5 seconds each (Respectively), while Daniel runs at 20 seconds
Give me brainliest answer