Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.
Answers
Answer: 7.5
Step-by-step explanation:
A1=1/2pir^2 A2=1/2pir^2
1/2(121pi) 1/2(16pi)
5.5 2
The area of a composite shape is the sum of the areas of its individual shapes
The area of the composite shape is 215.20 square feet.
From the figures, we have the following shapes
A semicircle with a diameter of 22 ftA semicircle with a diameter of 8 ft (i.e. 30ft - 22ft)The area (A) of a semicircle is:
[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]
So, the area of the composite shape is:
[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]
This gives
[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]
[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]
[tex]\mathbf{A = 68.5\pi}[/tex]
[tex]\mathbf{A = 215.20}[/tex]
Hence, the area of the composite shape is 215.20 square feet.
Read more about areas at:
https://brainly.com/question/16741417
Related Questions
... If g(x)= x^2 + 3x, what is the value of g(-3).
(1) 0
(3) 18
(2)3
(4) 21
Answers
Answer:
g(-3) = 0
Step-by-step explanation:
hello :
g(-3) = (-3)² + 3(-3) = 9-9 =0
3. How many solutions does the equation
2(x – 5) = 2x + 3 have?
A. O
C. 2
B. 1
D. infinitely many
Answers
This is my work: -10 does not equal 3, so therefore there is no solution
Find the product? y ^4 · y ^3
Answers
Answer:
if it will help
y^7
Step-by-step explanation:
y^4+3 = y^7
Write the quadratic equation in standard form 3x+x^2=11-3x^2
Answers
Estimate 58.311+49.35 by first rounding each number to the nearest whole number.
Answers
Answer:
≈107
Step-by-step explanation:
58.311 will round down since 0.311 is less than half or 0.5. It will become 58. 49.35 will also round down since 0.35 is less than 0.5. This will be 49. 58+49=107. Since 107 is not the exact answer, you will use the approximately sign, or ≈.
Solve for each variable and tell how you found the value of each.
Answers
Answer:
A:38 c:54
Step-by-step explanation:
First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.
For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.
Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.
Suppose f(x) = x2 and g(x)=(6)
. Which statement best compares the
graph of g(x) with the graph of f(x)?
O A. The graph of g(x).js the graph of f(x) horizontally stretched by a
factor of 5.
O B. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
O c. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
O D. The graph of g(x) is the graph of f(x) shifted
units left.
Answers
Answer:
In Exercises 1-9, describe the transformation of f(x) = x² represented by g. ... 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, ... graph of g be a horizontal shrink by a factor of the graph of f(x) = x2 x 2x ... 4(x-3)?–4.
Step-by-step explanation:
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answers
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
convert the following recurring decimal to a rational number 0,72
Answers
Answer:
The repeating decimal 0. 72 can be written as a ratio of two integers with numerator 8 and denominator 11 as the numerator and denominator, respectively. As a result, it is a logical number (named after ratio). If a number's decimal representation repeats or terminates, it may be seen to be rational.
Step-by-step explanation:
0.72 equals 8 /11
as a fraction.
How do you turn 0.72 repeating into a fraction?
Detailed Answer:
Step 1: To convert 0.72 repeating into a fraction, begin writing this simple equation:
n = 0.72 (equation 1)
Step 2: Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.
100 × n = 72.72 (equation 2)
Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.
100 × n = 72.72
1 × n = 0.72
99 × n = 72
72 /99
could be the answer, but it still can be put in the simplest form, i.e., reduced.
To simplify this fraction, divide the numerator and denominator by 9 (the GCF - greatest common factor).
n = 72
99 = 72 ÷ 9
99 ÷ 9 = 8 11 .
So, 0.72 = 8 /11
as the lowest possible fraction.
_____________________________________
(hope this helps can i plz have brainlist :D hehe)
To get ready for school, Traci spent 1/20th
of an hour getting dressed and 1/10th of an
hour doing her hair. What is the total
amount of time she spent getting ready?
Give your answer in simplest form.
Answers
Answer:
3/5
Step-by-step explanation:
1/10+1/20=3/5
Which is the graph of y= 2 8x - 3?
Graph B.
Graph C
Graph A
Please help!
Answers
Answer:
Graph C
Step-by-step explanation:
We can tell because the equation states that the y intercept is -3 and has a steep slope
What is the value of z?
Answers
Answer
61
Step-by-step explanation:
subtract 180-73.8-46.2
Answer:
The value of z is 26.6
Step-by-step explanation:
72.6 - 46.2=26.6
Find the area of the shaded region and choose the appropriate result.
Answers
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
Convert grams (g) and milligrams (mg) to grams.
Answers
Answer:
1mg= 1000g
Step-by-step explanation:
1000 grams makes up 1miligram
What is number 61 and a step by step explaination please?
Answers
1/3 ln(x) + ln(2) - ln(3) = 3
Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so
ln(x ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]
[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]
Then
ln(2/3 x ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)
exp(ln(2/3 x ¹ʹ³)) = exp(3)
Now exp(ln(x)) = x for all x, so this simplifies to
2/3 x ¹ʹ³ = exp(3)
Now solve for x. Multiply both sides by 3/2 :
3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)
x ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(x ¹ʹ³)³ = (3/2 exp(3))³
x = 3³/2³ exp(3×3)
x = 27/8 exp(9)
which is the same as
x = 27/8 e ⁹
=
O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
Х
length: 0
width: Ich
?
cm
Answers
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
Use the distributive property to rewrite each expression in its equivalent form
Answers
Answer:
picture?
Step-by-step explanation:
different solution of salt are made up what valumo of
Answers
Answer:
Salt is sodium.
Answer:
Salt is Sodium.
Step-by-step explanation:
When you break down the compounds of salt you find molecules of sodium thus saying that salt is made up of sodium molecules.
Which two shapes are equivalent fractions?
Answers
Answer:
B. 1 and 3
Step-by-step explanation:
Please help ASAP this is due today
Answers
Answer:
good luck
Step-by-step explanation:
the mean is all of them added up then divided by how many numbers there are the median is where you put them in order putting the numbers in order then finding the middlel mode is the most of the same numbers and range is the biggest number
Answer:
mean- 104.83
median- 102
mode- 101
range- 28
Step-by-step explanation:
mean is all numbers added together then divided by however many numbers there are. sum of all numbers is 629, divided by 6 is 104.83 repeating.
median is the number in the middle. since there are six numbers and no middle one, the two in the middle (when ordered smallest to largest) are 101 and 103. the number between those two is 102 and therefore the median.
mode is the number that appears the most in the data set, which is 101 in this case.
range is the difference between the largest number and the smallest. the largest number is 121, minus 93, the smallest number, gives you 28.
hope this helps!
(03.06)
Using the completing the square method, rewrite f(x) = x2 + 4x - 1 in vertex form,
f(x) = (x + 2)2 + 1
Oь
f(x) - (x + 2)2
oc
f(x) = (x + 2)2 + 4
Od
f(x) = (x + 2)2 - 5
Answers
Natalie is almost always on time for class. In fact, the probability that she is on time for a given class is 90%. If there are 50 classes during the semester, what is the best estimate of the number of times out of 50 that Natalie is on time to class?
Answers
Answer:
45 out of 50
Step-by-step explanation:
First, 90/100 x 50 which = 45.
You could also do 5 x 9 which equals 45.
Hope this helps!!
The measure of an angle is 67º. What is the measure of its complementary angle?
Answers
Answer:
see explation
Step-by-step explanation:
# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.
so here,given angle is 67°
complementary angle of 67° = 90°- 67°
= 23°
please mark me as brainlist.
For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.
Answers
Answer:
6lb meat2.5lb potatoes5Ib carrotsStep-by-step explanation:
M + P + C = 13.5
6M + 3P + C = 48.50
OM + 2P - C = O
2P = C
Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.
The price of milk has been increasing by 4% per year. If he gallon of milk cost exactly 3 dollars right now, how much should it cost in 4 years?
Answers
Explanation: It’ll increase by 0.12 every year!
in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter of trapazoid BMNC.
Answers
35
since m and n are the midpoints of ab and ac resistively
then ,bc=2mn=16
since m and l are the midpoints of ba and bc respectively
then, ac =2mn =10
then,nc =1/2 × 10 =5
similary, mb=6
then ,perimeter=nc+mb+mn+bc=5+6+8+16=35
Find the measure of angles T and V.
Answers
W is 90
Full equation
90+ 2x +3x =180
5x = 180-90
5x = 90
X= 90/5
X= 18
T = 3 (18)
T= 54
V=2(18)
=36
Uhh help?? I’m highly confused I just want answers
Answers
Answer:
1) x = 5√3, y = 5
2) x = 16, y = 8
3) x = 10, y = 5
4) m = 9√15/10, n = 9√5/10
5) x = 3√3/2, y = 3/2
6) x = 6√5, y = 3√5
7) x = 5, y = 5
8) x = 5√2, y = 5
9) a = 2, b = √2
10) m = 10√6/3, n = 5√6/3
Explanation:
For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.
For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.
For 45° - 45° - 90° triangles (Isosceles Right),
Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.
This is all computed as a result of the trigonometric functions:
SOH CAH TOA.
This is a shortcut for these specific triangles.
If you do not have the side marked as x, just do the inverse operation to get it.
90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)
Ms. DeVoto and Mr. Kim share a birthday, but Mr. Kim is 7 years older. If Ms. DeVoto is D years old, write an expression to show how old Mr. Kim is.
Answers
Answer:
D+7=K
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
12+98=
really confused on this one
Answers
Answer:
12+98=110
Step-by-step explanation: