Answers
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
Related Questions
What would be the coordinates of Point D to complete square ABCD? Ay B 2. A Х -2 o 2. 2. С (2.2) (2, 2) (-2,2 (2-2)
Answers
Answer:
D: which is (2, -2)Step-by-step explanation:
Anyone know how to do this?
Answers
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
should I be worried about my upcoming exams?
Answers
Answer:
i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good
Step-by-step explanation:
brainlyest please I'm trying to get my thing up
What is the equation of this
Answers
Answer:
it's correct
Step-by-step explanation:
2
Find the equation of the line shown.
Find the equation of the line shown. *
(10 Points)
y=3x+4
y=-1/2x-3
y=5x-12
y=1/2x+3
Answers
y= -1/2x-3
Explanation
Convert 48 fluid ounces to cup I need help
Answers
Answer:
6 Cups
Step-by-step explanation:
There are 8 fluid ounces in a cup, 48 divided by 8 = 6
john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month
a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode
Answers
Beth's doll is similar to her own quilt by a ration of 1:6. if the width of her doll's quilt is 11 inches, how wide is her own quilt in inches?
Answers
66
Step-by-step explanation:
6*11=66
-6(-3x-3)=6(1+3x) solve
Answers
Answer:
x=-0.6
Step-by-step explanation:
-3x-3=-1
-3x=-1+3
-3x=2
x=-2/3
7n-4=31
what does n stand for?
Answers
Answer:
it is the number you are trying to solve for which would be 5
Step-by-step explanation:
pls help asap! ill give brainliest:))
Answers
Answer:
the answer should be 38.75
Which of the following numbers are less than -0.60? Select all that apply.
- 4/5
-0.65
- 1/6
-0.99
Answers
Answer:
0..99
Step-by-step explanation:
Lorinda has 101010 books on her bookshelf. \blue{\text{$6$}}6start color #6495ed, start text, 6, end text, end color #6495ed of these books have \blue{\text{blue covers}}blue coversstart color #6495ed, start text, b, l, u, e, space, c, o, v, e, r, s, end text, end color #6495ed, and \red{\text{$4$}}4start color #df0030, start text, 4, end text, end color #df0030 have \red{\text{red covers}}red coversstart color #df0030, start text, r, e, d, space, c, o, v, e, r, s, end text, end color #df0030.
\blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed of the blue books are \blue{\text{mystery novels}}mystery novelsstart color #6495ed, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #6495ed, and \blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed are \blue{\text{fantasy novels}}fantasy novelsstart color #6495ed, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #6495ed.
\red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 of the red books are \red{\text{mystery novels}}mystery novelsstart color #df0030, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #df0030, and \red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 are \red{\text{fantasy novels}}fantasy novelsstart color #df0030, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #df0030.
Lorinda closes her eyes and randomly selects a book from her bookshelf. Let AAA be the event that she selects a blue book and BBB be the event that the book is a fantasy novel.
Which of the following statements are true?
e. P(A and B)=P(A)⋅P(B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, dot, P, left parenthesis, B, right parenthesis, the probability that Lorinda selects a book that is blue and a fantasy novel is equal to the probability that Lorinda selects a blue book multiplied by the probability that she selects a fantasy novel.
Answers
Answer:
Options A,B,C and E are correct from the multiple choice you listed.
Step-by-step explanation:
find the measure of each interior angle of a regular polygon with the following number of size 6
Answers
Answer
number of side(n)=6
formula to calculate each interior angle =((n-2)×180)/n
now,
((6-2)×180)/6
(4×180)/6
720/6
120
may this will help you
Answer:
120°
Step-by-step explanation:
n = 6
Work:
[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]
33/q = 8/12 q=?
What is q
Answers
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
Help me with this question please!
Answers
Answer:
24, 21, 15, 12
Step-by-step explanation:
Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.
[tex]y=30-3(2)=30-6=24[/tex] [tex](2, 24)[/tex]
[tex]y=30-3(3)=30-9=21[/tex] [tex](3, 21)[/tex]
[tex]y=30-3(5)=30-15=15[/tex] [tex](5, 15)[/tex]
[tex]y=30-3(6)=30-18=12[/tex] [tex](6, 12)[/tex]
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.
__
If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...
y = 30-3(2) = 30 -6 = 24 . . . for x=2
Find the median of the data. 12,33,18,28,29,12,17,4,2
Answers
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
help will mark brainliest
Answers
Answer:
The answer to the question is d
Answer:
D
Step-by-step explanation:
The equation has just 1 answer and that is 0
Value of x can only be 1 as this is a linear equation not a quadratic
Please mark my answer as brainliest for further answers:)
answer answer answer answer
Answers
Answer:
[tex]12 \leqslant x < 26[/tex]
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.
Answers
Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:
[tex]a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0[/tex]
Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.
[tex]a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2[/tex]
A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
HELPPP PLSSS THIS IS MY THIRD TIME POSTING THIS PLS HELP ME I WOULD MARK YOU BRAINIEST What is the slope of the line below?
(3,5)
(3, 2)
A. positive
B. undefined
C. negative
D. Zero
Answers
Answer:
B
Step-by-step explanation:
its undefined because 3/0.
Is –2,823,680 − 8,957,599 positive or negative?
Answers
Answer:
negative
Step-by-step explanation: it has negative signs
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)
Answers
Answer:
2268
Step-by-step explanation:
The enrollment in 1st period band class went from 20 to 26 in a month. Find the percent change.
Answers
Answer: the answer is 4/7 your welcome
solve for x
3x - (8-x) = 47
Answers
Find the measure of CGD.
Answers
Answer:
23°
Step-by-step explanation:
For this scenario say point G is the center point,
If we look to the left, we see angle FGE has a value of 23
and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same
so therefore angle CGD should be 23 degrees
find the value of x and y
Answers
Answer:
It's hard to make out which is x and y, if x is lower right and y is at the top, then:
x = 55°
y = 70°
Step-by-step explanation:
x = 55° because it is an isosceles triangle
y = 180° - 55° - 55° = 70°
Help me please!!! I’ll mark brainliest!!
Answers
Answer:
all the answers are c on that test my teacher did that same exact test
Step-by-step explanation:
mark brainliest!
X = y - 3
2x + y = 12
pls hurry i need badly
Answers
[tex] \huge \colorbox{yellow}{Question}[/tex]
[tex]x = y - 3[/tex][tex]2x + y = 12[/tex]
[tex] \huge \colorbox{yellow}{Answer}[/tex]
[tex]x = y - 3 \: (equation \: 1)[/tex]
[tex]2x + y = 12 \: (equation \: 2)[/tex]
Substituting the value of x in
( equation 2)
[tex]2x + y = 12[/tex]
[tex]2(y - 3) + y = 12[/tex]
[tex]2y - 6 + y = 12[/tex]
[tex]2y + y = 12 + 6[/tex]
[tex]3y = 18[/tex]
[tex]y = 18 \div 3[/tex]
[tex]y = 6[/tex]
Now we get y = 6
Substituting the value of y in
( equation 1 )
[tex]x = y - 3[/tex]
[tex]x = 6 - 3[/tex]
[tex]x = 3[/tex]
Now we get x = 3
[tex] \huge \mathsf\red{Final \: Answer}[/tex]
y = 6 x = 3Hello! Could y’all please explain why this is Decay and not growth?
Answers
Answer:
This is an Exponential Decay
Step-by-step explanation:
A = 1200(0.85)⁶
The above expression is an Exponential Decay because 0.85 is less than 1
The formula for Exponential Decay
= y = a (1 - r)^t
We equate both equation together
Where
a = 1200
1 - r = 0.85
t = 6
Solving for r
1 - r = 0.85
r = 1 - 0.85
r = 0.15
Converting to Percentage
r = 15% decay rate