Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.​

Unit 11: Volume & Surface Area Homework 3: Area Of Composite Figures Find The Area Of Each Figure.

Answers

Answer 1

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

Answer 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:

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Related Questions

Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee

Answers

Answer:

Step-by-step explanation:

pi r^2 for area

pi 35^2

pi1225= about 3848.45

2pi r for circumference

2pi35

pi70= about 219.9

... A person has 5 coins in their pocket. A dime, 2 pennies, a quarter, and a nickel. If a person randomly
picks one coin out of their pocket. What would the probability be that they get a penny?
HELP ME PLSSSSS

Answers

Answer:

2/5 i think not sure

Step-by-step explanation:

Answer:

There is a 40% chance of the person pulling out a penny.

Step-by-step explanation:

Out of 5 coins, 2 of them are pennies. This is 2 out of 5.

2 out of 5 is a fraction, 2/5.

2/5 in percent form is 40%.

Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting

Answers

Answer: is D on khan academy


find the derivative of 1/x^4/3

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]

Step 2: Differentiate

Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx} \bigg[ \frac{1}{x^4} \bigg][/tex]Rewrite:                                                                                                         [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-4}][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = \frac{1}{3}(-4x^{-5})[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{-4}{3x^5}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

You take your friend to Olive Garden for her birthday. The meal cost $25.80 plus a 5% sales tax. You then leave the server a 20% tip. How much did you spend all together?

Answers

Answer:

$30.96

Step-by-step explanation:

I hope this helps

Simplify the expression: 15i ⋅ 4i

Answers

Answer:

I think the answer is 11i

there is the correct answer.

Find the equation of the line shown.

Answers

answer: y = -1/4x + 2
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .

The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

Given that,

Graph of the equation of the line shown in the image.

Use the formula,

The equation of a line in point-slope form passing through the points

[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Let us take two points on the graph, which are (4, 1) and (0, 2).

Here, [tex](x_1 , y_1) = (4, 1)[/tex]

And,  [tex](x_2 , y_2)= (0, 2)[/tex]

So, the slope of the line is,

[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]

[tex]m = \frac{1}{- 4}[/tex]

[tex]m = \frac{-1}{4}[/tex]

Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]

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What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?

Answers

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

What we need to know

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope

1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope

[tex]x - y = 5[/tex]

Subtract both sides by x

[tex]x - y -x= -x+5\\-y= -x+5[/tex]

Divide both sides by -1

[tex]y= x-5[/tex]

Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.

Plugging 1 as m into [tex]y=mx+b[/tex], we get:

[tex]y=x+b[/tex]

2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation

[tex]y=x+b[/tex]

Plug in the given point (-5,-2)

[tex]-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:

[tex]y=x+b\\y=x+3[/tex]

I hope this helps!

what is x equal to? please help

Answers

Answer:

147°

Step-by-step explanation:

x+33=180

x=180-33=147°

1/2 divided by 2 3/4

Answers

Answer:

2/11

Step-by-step explanation:

2 3/4 = 11/4

1/2 x 4/11 = 4/22 *when you divide a something by a fraction, you flip that fraction to get its reciprocal*

4/22 simplified is 2/11

If 5b -1= b, then 16b =

Answers

Answer:

80b-16

Step-by-step explanation:

16(5b-1)

14.2 as a mixed number.
I need help on how to understand this, not just the answer. Please and thank you!

Answers

i think its 14 1/5 (?)

Answer:

14 1/5

Step-by-step explanation:

okay so first we will convert the decimal to fraction

14.2= 142/10= 71/5

now we convert improper fraction to mixed fraction:

71/5= long division method

14

5 |71

-5

21

20

1

quotient=14 remainder=1

now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side

so...... 14 1/5

Which survey question is unbiased?
O A. "Do you think we should allow them to cut down the trees and pave over the grass for the new playground?"
B. "Which do you prefer with a meal-water, or a syrupy sweet soft drink?"
C. "Should there be a school dress code?"
D. "Do you prefer bringing a healthy lunch to school or eating cafeteria food?"

Answers

Answer:

Should be a dress code i hope this helps god bless you all

Step-by-step explanation:

Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome, because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement

Answers

Answer:

hello your question has some missing information attached below is the missing information

answer : mean ratio of estimate = 117.62

              standard error ( SE ) = 3.9765

Step-by-step explanation:

Given data : n = 20,  μx = 10.3  , N = 1132

∑ age ( yi) = ( 125 + 119 + --------- + 99 ) =  2148

∑ ( Y - rX)^2 = 6116.728

mean of age ( y ) = ∑ y / 20 =  2148 / 20 = 107.4

mean of diameter ( x ) = ∑x /20 = 188.1 / 20 = 9.405

∴ ratio estimate  = y /x = 107.4 / 9.41 = 11.4195

i) The mean of ratio estimate

= 11.4195 * μx  = 11.4195 * 10.3 = 117.6204

ii) determine the standard error ( SE )

calculate ; [tex]s^{2} _{r}[/tex] = 1 / ( n-1 ) *  ∑ (Y - rX)^2  = 1/19 ( 6116.728 ) = 321.933

Var (  μr ) = [ ( N - n ) / N*n ]*[tex]s^{2} _{r}[/tex]  =  [ ( 1132 - 20 ) / (1132*20) ] * 321.933

               = 15.81226

therefore the SE = √15.81226 ≈ 3.9765

Which shape has the least lines of symmetry?

Answers

Answer:

A

Step-by-step explanation:

B, C, D are all symmetrical

Answer:

a

Step-by-step explanation:

since B, C, D are all symmetrical it should be a

I need helpppppppp :(

Answers

Answer:

The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16

Step-by-step explanation:

Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?

Answers

Hey Bestie it 90 chairs

If the principle is $12,000 and the rate of interest is 6% (simple interest), what
is the total amount after one year?
[no links please (:]

Answers

9514 1404 393

Answer:

  $12,720

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

where P is the principal, invested at rate r for t years.

  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

SOLVE FOR X PLS!! 50 POINTS! URGENT

Answers

Answer:

5

Step-by-step explanation:

The given two triangles are similar , therefore ,

⇒ 5x /20 = 45/36

⇒ x/4 = 5/4

⇒ x = 5/4 × 4

x = 5

Hence the value of x is 5.

Jessie saves $6 each week. In how many weeks will she have saved at least $50?

Answers

Answer:

9 weeks at least to have at least 50 dollars.

Step-by-step explanation:

Well 6 dollars each week and to get AT LEAST 50 dollars you need to save for 9 weeks.

Well 9*6=54

If you do it for 8 you’d only get 48 which is not at least 50 but 54 is.

So 9 weeks is the final answer.

50≤54

50 isn’t less then 48

Answer

.      .      .        .             .            .

Step by step explanation -

-x + 6 = 15, x = _________ what does x equal

Answers

Answer:

15-6

Step-by-step explanation:

if it helps don't forget to like and mark me

x=-9

Hope this helps :T

Triangle JKL is on the coordinate grid below what is the slope of the altitude from vertex K to segment JL

Answers

Answer:

5/6

Step-by-step explanation:

What is the answer!! I need HELP!! ASAP apps be accurate of ur answer and look at the pic

Answers

Answer:

105, I think if not please tell me it isn't!

zoom in to see the numbers and rotate to see the green and yellow parts

Answers

The first one is less

Which ordered pair is a solution for 3x + 4y < 12?

Answers

Answer:

D, (1,2)

Step-by-step explanation:

It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).

1. Plug in your x value (1 in this circumstance) and solve:

3(1) + 4y < 12

3 + 4y < 12

2. Plug in your y value (2 in this circumstance) and solve:

3 + 4(2) < 12

3 + 8 < 12

3. Solve

3 + 8 = 11

11 < 12

(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm

Answers

Answer:

We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:

Step-by-step explanation:

0=12X²-64X+20 quie me puede hacer el favor de realizarmelo​

Answers

Answer:

x = 1/3 , 5

Step-by-step explanation:

Factoriza y establece cada factor igual a cero.

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Answers

Answer:

x > 5

Step-by-step explanation:

–3(2x – 5) < 5(2 – x)

-6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

x > 5

What is a cubic polynomial function with zeros -13, -2, and 7?

Answers

Answer: x^3+8x^2-79x-182

Step-by-step explanation:

(x+13)(x+2)(x-7)=x^3+8x^2-79x-182

Analyze the data represented in the graph and select the appropriate model. A) exponential B) linear C) none D) quadratic​

Answers

Answer:

exponentialIt couldn’t be liner, liner is straight, the line is wriggly,, quadriceps obv no, so it has to be exponential.

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